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Scherer, Carsten W.

Carsten W. Scherer

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Institutsleitung und Lehrstuhlleitung mst / Erasmus-Fachkoordinator FB Mathematik
FB Mathematik/IMNG
Mathematische Systemtheorie
[Foto: Uni Stuttgart]

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70569 Stuttgart
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Raum: PWR 5a, R2.009

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Fachgebiet

Linear matrix inequalities in control

Exploring the applicability of linear matrix inequalities in analysis and synthesis problems in control.

Robust control

Analysis and synthesis techniques for linear, linear parametrically varying and nonlinear systems.

Multiobjective control

Control problems with multiple objectives formulated in the frequency- and time-domain.

Semi-definite programming and convex optimization

Robust optimization and relaxations of non-convex optimization problems.

Applications

Mechatronics and flight-control.

Publikationen

2024
1. T. J. Meijer, T. Holicki, S. J. A. M. van den Eijnden, C. W. Scherer, und W. P. M. H. Heemels, The Non-Strict Projection Lemma, IEEE Transactions on Automatic Control, 2024.
  - Zusammenfassung
  - BibTeX
  Zusammenfassung
  The projection lemma (often also referred to as the elimination lemma) is one of the most powerful and useful tools in the context of linear matrix inequalities for system analysis and control. In its traditional formulation, the projection lemma only applies to strict inequalities, however, in many applications we naturally encounter non-strict inequalities. As such, we present, in this note, a non-strict projection lemma that generalizes both its original strict formulation as well as an earlier non-strict version. We demonstrate several applications of our result in robust linear-matrix-inequality-based marginal stability analysis and stabilization, a matrix S-lemma, which is useful in (direct) data-driven control applications, and matrix dilation.
  BibTeX
  @article{MeiHol24, abstract = {The projection lemma (often also referred to as the elimination lemma) is one of the most powerful and useful tools in the context of linear matrix inequalities for system analysis and control. In its traditional formulation, the projection lemma only applies to strict inequalities, however, in many applications we naturally encounter non-strict inequalities. As such, we present, in this note, a non-strict projection lemma that generalizes both its original strict formulation as well as an earlier non-strict version. We demonstrate several applications of our result in robust linear-matrix-inequality-based marginal stability analysis and stabilization, a matrix S-lemma, which is useful in (direct) data-driven control applications, and matrix dilation.}, author = {Meijer, T. J. and Holicki, T. and Eijnden, S. J. A. M. van den and Scherer, C. W. and Heemels, W. P. M. H.}, doi = {10.1109/TAC.2024.3371374}, issn = {1558-2523}, journal = {IEEE Transactions on Automatic Control}, pages = {1-8}, title = {The Non-Strict Projection Lemma}, year = 2024 }
2. A. Kharitenko und C. W. Scherer, On the exactness of a stability test for Lur’e systems with slope-restricted nonlinearities, IEEE Transactions on Automatic Control, 2024.
  - Zusammenfassung
  - BibTeX
  Zusammenfassung
  In this note it is shown that the famous multiplier absolute stability test of R. O'Shea, G. Zames and P. Falb is necessary and sufficient if the set of Lur'e interconnections is lifted to a Kronecker structure and an explicit method to construct the destabilizing static nonlinearity is presented.
  BibTeX
  @article{KhaSch22, abstract = {In this note it is shown that the famous multiplier absolute stability test of R. O'Shea, G. Zames and P. Falb is necessary and sufficient if the set of Lur'e interconnections is lifted to a Kronecker structure and an explicit method to construct the destabilizing static nonlinearity is presented.}, archiveprefix = {arXiv}, author = {Kharitenko, Andrey and Scherer, Carsten W.}, doi = {10.1109/TAC.2024.3362859}, eprint = {2210.14992}, file = {:http\://arxiv.org/pdf/2210.14992v1:PDF}, journal = {IEEE Transactions on Automatic Control}, primaryclass = {math.OC}, title = {On the exactness of a stability test for Lur'e systems with slope-restricted nonlinearities}, year = 2024 }
3. H. Häring, D. Gramlich, C. Ebenbauer, und C. W. Scherer, Trajectory Generation for the Unicycle Model Using Semidefinite Relaxations, in accepted for publication, 2024.
  - BibTeX
  BibTeX
  @inproceedings{noauthororeditor2024trajectory, author = {H\"aring, Hannah and Gramlich, Dennis and Ebenbauer, Christian and Scherer, Carsten W.}, booktitle = {accepted for publication }, title = {Trajectory Generation for the Unicycle Model Using Semidefinite Relaxations}, year = 2024 }
2023
1. F. A. Taha, S. Yan, und E. Bitar, A Distributionally Robust Approach to Regret Optimal Control using the Wasserstein Distance, in 2023 62nd IEEE Conference on Decision and Control (CDC), 2023.
  - Zusammenfassung
  - BibTeX
  Zusammenfassung
  This paper proposes a distributionally robust approach to regret optimal control of discrete-time linear dynam-ical systems with quadratic costs subject to a stochastic additive disturbance on the state process. The underlying probability distribution of the disturbance process is unknown, but assumed to lie in a given ball of distributions defined in terms of the type-2 Wasserstein distance. In this framework, strictly causal linear disturbance feedback controllers are designed to minimize the worst-case expected regret. The regret incurred by a controller is defined as the difference between the cost it incurs in response to a realization of the disturbance process and the cost incurred by the optimal noncausal controller which has perfect knowledge of the disturbance process realization at the outset. Building on a well-established duality theory for optimal transport problems, we derive a reformulation of the minimax regret optimal control problem as a tractable semidefinite program. Using the equivalent dual reformulation, we characterize a worst-case distribution achieving the worst-case expected regret in relation to the distribution at the center of the Wasserstein ball. We compare the minimax regret optimal control design method with the distributionally robust optimal control approach using an illustrative example and numerical experiments.
  BibTeX
  @inproceedings{10384311, abstract = {This paper proposes a distributionally robust approach to regret optimal control of discrete-time linear dynam-ical systems with quadratic costs subject to a stochastic additive disturbance on the state process. The underlying probability distribution of the disturbance process is unknown, but assumed to lie in a given ball of distributions defined in terms of the type-2 Wasserstein distance. In this framework, strictly causal linear disturbance feedback controllers are designed to minimize the worst-case expected regret. The regret incurred by a controller is defined as the difference between the cost it incurs in response to a realization of the disturbance process and the cost incurred by the optimal noncausal controller which has perfect knowledge of the disturbance process realization at the outset. Building on a well-established duality theory for optimal transport problems, we derive a reformulation of the minimax regret optimal control problem as a tractable semidefinite program. Using the equivalent dual reformulation, we characterize a worst-case distribution achieving the worst-case expected regret in relation to the distribution at the center of the Wasserstein ball. We compare the minimax regret optimal control design method with the distributionally robust optimal control approach using an illustrative example and numerical experiments.}, author = {Taha, Feras Al and Yan, Shuhao and Bitar, Eilyan}, booktitle = {2023 62nd IEEE Conference on Decision and Control (CDC)}, doi = {10.1109/CDC49753.2023.10384311}, issn = {2576-2370}, pages = {2768-2775}, title = {A Distributionally Robust Approach to Regret Optimal Control using the Wasserstein Distance}, year = 2023 }
2. C. W. Scherer, C. Ebenbauer, und T. Holicki, Optimization Algorithm Synthesis Based on Integral Quadratic Constraints: A Tutorial, in 2023 62nd IEEE Conference on Decision and Control (CDC), 2023.
  - Zusammenfassung
  - BibTeX
  Zusammenfassung
  We expose in a tutorial fashion the mechanisms which underlie the synthesis of optimization algorithms based on dynamic integral quadratic constraints. We reveal how these tools from robust control allow to design accelerated gradient descent algorithms with optimal guaranteed convergence rates by solving small-sized convex semi-definite programs. It is shown that this extends to the design of extremum controllers, with the goal to regulate the output of a general linear closed-loop system to the minimum of an objective function. Numerical experiments illustrate that we can not only recover gradient decent and the triple momentum variant of Nesterov's accelerated first order algorithm, but also automatically syn-thesize optimal algorithms even if the gradient information is passed through non-trivial dynamics, such as time-delays.
  BibTeX
  @inproceedings{SchEbe23, abstract = {We expose in a tutorial fashion the mechanisms which underlie the synthesis of optimization algorithms based on dynamic integral quadratic constraints. We reveal how these tools from robust control allow to design accelerated gradient descent algorithms with optimal guaranteed convergence rates by solving small-sized convex semi-definite programs. It is shown that this extends to the design of extremum controllers, with the goal to regulate the output of a general linear closed-loop system to the minimum of an objective function. Numerical experiments illustrate that we can not only recover gradient decent and the triple momentum variant of Nesterov's accelerated first order algorithm, but also automatically syn-thesize optimal algorithms even if the gradient information is passed through non-trivial dynamics, such as time-delays.}, author = {Scherer, Carsten W. and Ebenbauer, Christian and Holicki, Tobias}, booktitle = {2023 62nd IEEE Conference on Decision and Control (CDC)}, doi = {10.1109/CDC49753.2023.10384198}, issn = {2576-2370}, pages = {2995-3002}, title = {Optimization Algorithm Synthesis Based on Integral Quadratic Constraints: A Tutorial}, year = 2023 }
3. C. W. Scherer, Robust Exponential Stability and Invariance Guarantees with General Dynamic O’Shea-Zames-Falb Multipliers, 2023.
  - Zusammenfassung
  - BibTeX
  Zusammenfassung
  We propose novel time-domain dynamic integral quadratic constraints with a terminal cost for exponentially weighted slope-restricted gradients of not necessarily convex functions. This extends recent results for subdifferentials of convex function and their link to so-called O'Shea-Zames-Falb multipliers. The benefit of merging time-domain and frequency-domain techniques is demonstrated for linear saturated systems.
  BibTeX
  @article{Sch23, abstract = {We propose novel time-domain dynamic integral quadratic constraints with a terminal cost for exponentially weighted slope-restricted gradients of not necessarily convex functions. This extends recent results for subdifferentials of convex function and their link to so-called O'Shea-Zames-Falb multipliers. The benefit of merging time-domain and frequency-domain techniques is demonstrated for linear saturated systems.}, archiveprefix = {arXiv}, author = {Scherer, Carsten W.}, copyright = {Creative Commons Attribution Non Commercial No Derivatives 4.0 International}, doi = {10.48550/ARXIV.2306.00571}, eprint = {2306.00571}, file = {:Sch23 - Robust Exponential Stability and Invariance Guarantees with General Dynamic O'Shea Zames Falb Multipliers.pdf:PDF}, groups = {PN4-3, PN4-3(II)}, month = {06}, primaryclass = {math.OC}, publisher = {arXiv}, title = {Robust Exponential Stability and Invariance Guarantees with General Dynamic O'Shea-Zames-Falb Multipliers}, year = 2023 }
4. C. A. Rösinger und C. W. Scherer, Gain-Scheduling Controller Synthesis for Nested Systems With Full Block Scalings, IEEE Transactions on Automatic Control, 2023.
  - Zusammenfassung
  - BibTeX
  Zusammenfassung
  This work presents a framework to synthesize structured gain-scheduled controllers for structured plants whose dynamics change according to time-varying scheduling parameters. Both the system and the controller are assumed to admit descriptions in terms of a linear time-invariant system in feedback with so-called scheduling blocks, which collect all scheduling parameters into a static system. We show that such linear fractional representations permit to exploit a so-called lifting technique in order to handle several structured gain-scheduling design problems. These could arise from a nested inner and outer loop control configuration with partial or full dependence on the scheduling variables. Our design conditions are formulated in terms of convex linear matrix inequalities and permit to handle multiple performance objectives.
  BibTeX
  @article{SchRoe23, abstract = {This work presents a framework to synthesize structured gain-scheduled controllers for structured plants whose dynamics change according to time-varying scheduling parameters. Both the system and the controller are assumed to admit descriptions in terms of a linear time-invariant system in feedback with so-called scheduling blocks, which collect all scheduling parameters into a static system. We show that such linear fractional representations permit to exploit a so-called lifting technique in order to handle several structured gain-scheduling design problems. These could arise from a nested inner and outer loop control configuration with partial or full dependence on the scheduling variables. Our design conditions are formulated in terms of convex linear matrix inequalities and permit to handle multiple performance objectives.}, author = {Rösinger, Christian A. and Scherer, Carsten W.}, doi = {10.1109/TAC.2023.3329851}, issn = {1558-2523}, journal = {IEEE Transactions on Automatic Control}, pages = {1-16}, title = {Gain-Scheduling Controller Synthesis for Nested Systems With Full Block Scalings}, year = 2023 }
5. M. M. Morato, T. Holicki, und C. W. Scherer, Stabilizing Model Predictive Control Synthesis using Integral Quadratic Constraints and Full-Block Multipliers, International journal of robust and nonlinear control, 2023.
  - BibTeX
  BibTeX
  @article{MorHol23, author = {Morato, Marcelo M. and Holicki, Tobias and Scherer, Carsten W.}, copyright = {arXiv.org perpetual, non-exclusive license}, doi = {https://doi.org/10.1002/rnc.6952}, journal = {International journal of robust and nonlinear control}, number = 18, pages = {11434-11457}, publisher = {Wiley}, title = {Stabilizing Model Predictive Control Synthesis using Integral Quadratic Constraints and Full-Block Multipliers}, volume = 33, year = 2023 }
6. T. J. Meijer, T. Holicki, S. J. A. M. van den Eijnden, C. W. Scherer, und W. P. M. H. Heemels, The Non-Strict Projection Lemma. 2023.
  - Zusammenfassung
  - BibTeX
  Zusammenfassung
  The projection lemma (often also referred to as the elimination lemma) is one of the most powerful and useful tools in the context of linear matrix inequalities for system analysis and control. In its traditional formulation, the projection lemma only applies to strict inequalities, however, in many applications we naturally encounter non-strict inequalities. As such, we present, in this note, a non-strict projection lemma that generalizes both its original strict formulation as well as an earlier non-strict version. We demonstrate several applications of our result in robust linear-matrix-inequality-based marginal stability analysis and stabilization, a matrix S-lemma, which is useful in (direct) data-driven control applications, and matrix dilation.
  BibTeX
  @misc{meijer2023nonstrict, abstract = {The projection lemma (often also referred to as the elimination lemma) is one of the most powerful and useful tools in the context of linear matrix inequalities for system analysis and control. In its traditional formulation, the projection lemma only applies to strict inequalities, however, in many applications we naturally encounter non-strict inequalities. As such, we present, in this note, a non-strict projection lemma that generalizes both its original strict formulation as well as an earlier non-strict version. We demonstrate several applications of our result in robust linear-matrix-inequality-based marginal stability analysis and stabilization, a matrix S-lemma, which is useful in (direct) data-driven control applications, and matrix dilation.}, author = {Meijer, T. J. and Holicki, T. and van den Eijnden, S. J. A. M. and Scherer, C. W. and Heemels, W. P. M. H.}, doi = {10.48550/arXiv.2305.08735}, howpublished = {ArXiV}, title = {The Non-Strict Projection Lemma}, year = 2023 }
7. A. Kharitenko und C. Scherer, Time-varying Zames–Falb multipliers for LTI Systems are superfluous, Automatica, 2023.
  - BibTeX
  BibTeX
  @article{KhaSch23, author = {Kharitenko, Andrey and Scherer, Carsten}, doi = {10.1016/j.automatica.2022.110577}, journal = {Automatica}, publisher = {Elsevier {BV}}, title = {Time-varying Zames{\textendash}Falb multipliers for {LTI} Systems are superfluous}, volume = 147, year = 2023 }
8. T. Holicki und C. W. Scherer, IQC Based Analysis and Estimator Design for Discrete-Time Systems Affected by Impulsive Uncertainties. 2023.
  - Zusammenfassung
  - BibTeX
  Zusammenfassung
  We propose novel quadratic performance tests for linear discrete-time impulsive systems based on viewing these systems as feedback interconnections of some non-impulsive linear system with an impulsive operator. In order to systematically analyze such interconnections, we employ the framework of integral quadratic constraints and propose novel constraints of this kind for capturing the behavior of the involved impulsive operator. As a major benefit, the modularity of this framework permits seamless extensions to interconnections affected by heterogeneous uncertainties in a straightforward fashion. This contrasts with alternative approaches which are based on capturing the system's impulsive behavior by means of a clock. Building upon the developed analysis criteria, we characterize the existence of non-impulsive estimators for such impulsive interconnections in a lossless fashion and in terms of linear matrix inequalities. Finally, our approach is illustrated by means of several numerical examples.
  BibTeX
  @misc{holicki2023based, abstract = {We propose novel quadratic performance tests for linear discrete-time impulsive systems based on viewing these systems as feedback interconnections of some non-impulsive linear system with an impulsive operator. In order to systematically analyze such interconnections, we employ the framework of integral quadratic constraints and propose novel constraints of this kind for capturing the behavior of the involved impulsive operator. As a major benefit, the modularity of this framework permits seamless extensions to interconnections affected by heterogeneous uncertainties in a straightforward fashion. This contrasts with alternative approaches which are based on capturing the system's impulsive behavior by means of a clock. Building upon the developed analysis criteria, we characterize the existence of non-impulsive estimators for such impulsive interconnections in a lossless fashion and in terms of linear matrix inequalities. Finally, our approach is illustrated by means of several numerical examples.}, author = {Holicki, Tobias and Scherer, Carsten W.}, doi = {10.48550/arXiv.2212.08837}, howpublished = {preprint}, title = {IQC Based Analysis and Estimator Design for Discrete-Time Systems Affected by Impulsive Uncertainties}, year = 2023 }
9. T. Holicki und C. W. Scherer, Input-Output-Data-Enhanced Robust Analysis via Lifting. 2023.
  - Zusammenfassung
  - BibTeX
  Zusammenfassung
  Starting from a linear fractional representation of a linear system affected by constant parametric uncertainties, we demonstrate how to enhance standard robust analysis tests by taking available (noisy) input-output data of the uncertain system into account. Our approach relies on a lifting of the system and on the construction of data-dependent multipliers. It leads to a test in terms of linear matrix inequalities which guarantees stability and performance for all systems compatible with the observed data if it is in the affirmative. In contrast to many other data-based approaches, prior physical knowledge is included at the outset due to the underlying linear fractional representation.
  BibTeX
  @misc{holicki2023inputoutputdataenhanced, abstract = {Starting from a linear fractional representation of a linear system affected by constant parametric uncertainties, we demonstrate how to enhance standard robust analysis tests by taking available (noisy) input-output data of the uncertain system into account. Our approach relies on a lifting of the system and on the construction of data-dependent multipliers. It leads to a test in terms of linear matrix inequalities which guarantees stability and performance for all systems compatible with the observed data if it is in the affirmative. In contrast to many other data-based approaches, prior physical knowledge is included at the outset due to the underlying linear fractional representation.}, author = {Holicki, Tobias and Scherer, Carsten W.}, doi = {10.48550/arXiv.2211.02149}, title = {Input-Output-Data-Enhanced Robust Analysis via Lifting}, year = 2023 }
10. T. Holicki und C. W. Scherer, Data-Based Refinement of Parametric Uncertainty Descriptions, submitted for publication, 2023.
  - BibTeX
  BibTeX
  @article{holicki2023databased, author = {Holicki, Tobias and Scherer, Carsten W.}, journal = {submitted for publication}, title = {Data-Based Refinement of Parametric Uncertainty Descriptions}, year = 2023 }
11. T. Holicki, J. Nicodemus, P. Schwerdtner, und B. Unger, Energy matching in reduced passive and port-Hamiltonian systems. 2023.
  - Zusammenfassung
  - BibTeX
  Zusammenfassung
  It is well known that any port-Hamiltonian (pH) system is passive, and conversely, any minimal and stable passive system has a pH representation. Nevertheless, this equivalence is only concerned with the input-output mapping but not with the Hamiltonian itself. Thus, we propose to view a pH system either as an enlarged dynamical system with the Hamiltonian as additional output or as two dynamical systems with the input-output and the Hamiltonian dynamic. Our first main result is a structure-preserving Kalman-like decomposition of the enlarged pH system that separates the controllable and zero-state observable parts. Moreover, for further approximations in the context of structure-preserving model-order reduction (MOR), we propose to search for a Hamiltonian in the reduced pH system that minimizes the H2-distance to the full-order Hamiltonian without altering the input-output dynamic, thus discussing a particular aspect of the corresponding multi-objective minimization problem corresponding to H2-optimal MOR for pH systems. We show that this optimization problem is uniquely solvable, can be recast as a standard semidefinite program, and present two numerical approaches for solving it. The results are illustrated with three academic examples.
  BibTeX
  @misc{holicki2023energy, abstract = {It is well known that any port-Hamiltonian (pH) system is passive, and conversely, any minimal and stable passive system has a pH representation. Nevertheless, this equivalence is only concerned with the input-output mapping but not with the Hamiltonian itself. Thus, we propose to view a pH system either as an enlarged dynamical system with the Hamiltonian as additional output or as two dynamical systems with the input-output and the Hamiltonian dynamic. Our first main result is a structure-preserving Kalman-like decomposition of the enlarged pH system that separates the controllable and zero-state observable parts. Moreover, for further approximations in the context of structure-preserving model-order reduction (MOR), we propose to search for a Hamiltonian in the reduced pH system that minimizes the H2-distance to the full-order Hamiltonian without altering the input-output dynamic, thus discussing a particular aspect of the corresponding multi-objective minimization problem corresponding to H2-optimal MOR for pH systems. We show that this optimization problem is uniquely solvable, can be recast as a standard semidefinite program, and present two numerical approaches for solving it. The results are illustrated with three academic examples.}, author = {Holicki, T. and Nicodemus, J. and Schwerdtner, P. and Unger, B.}, doi = {10.48550/arXiv.2309.05778}, howpublished = {ArXiV}, title = {Energy matching in reduced passive and port-Hamiltonian systems}, year = 2023 }
12. L. Hewing u. a., Enhancing the Guidance, Navigation and Control of Autonomous Parafoils using Machine Learning Methods, in Papers of ESA GNC-ICATT 2023, 2023.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{HewGra23, author = {Hewing, Lukas and Gramlich, Dennis and Verhoek, Chris and Polonio, Rafael and Veenman, Joost and Ardura, Carlos and Tóth, Roland and Ebenbauer, Christian and Scherer, Carsten and Preda, Valentin}, booktitle = {Papers of ESA GNC-ICATT 2023}, collection = {ESA GNC-ICATT 2023}, doi = {10.5270/esa-gnc-icatt-2023-135}, month = {07}, publisher = {ESA}, series = {ESA GNC-ICATT 2023}, title = {Enhancing the Guidance, Navigation and Control of Autonomous Parafoils using Machine Learning Methods}, url = {http://dx.doi.org/10.5270/esa-gnc-icatt-2023-135}, year = 2023 }
  Link
  http://dx.doi.org/10.5270/esa-gnc-icatt-2023-135
13. D. Gramlich, C. W. Scherer, H. Häring, und C. Ebenbauer, Synthesis of constrained robust feedback policies and model predictive control, 2023.
  - BibTeX
  BibTeX
  @inproceedings{GraSch23, author = {Gramlich, Dennis and Scherer, Carsten W. and Häring, Hannah and Ebenbauer, Christian}, copyright = {Creative Commons Attribution 4.0 International}, doi = {10.48550/ARXIV.2310.11404}, groups = {PN4-3, PN4-3(II)}, publisher = {arXiv}, title = {Synthesis of constrained robust feedback policies and model predictive control}, year = 2023 }
14. D. Gramlich, P. Pauli, C. W. Scherer, F. Allgöwer, und C. Ebenbauer, Convolutional Neural Networks as 2-D systems, 2023.
  - Zusammenfassung
  - BibTeX
  Zusammenfassung
  This paper introduces a novel representation of convolutional Neural Networks (CNNs) in terms of 2-D dynamical systems. To this end, the usual description of convolutional layers with convolution kernels, i.e., the impulse responses of linear filters, is realized in state space as a linear time-invariant 2-D system. The overall convolutional Neural Network composed of convolutional layers and nonlinear activation functions is then viewed as a 2-D version of a Lur'e system, i.e., a linear dynamical system interconnected with static nonlinear components. One benefit of this 2-D Lur'e system perspective on CNNs is that we can use robust control theory much more efficiently for Lipschitz constant estimation than previously possible.
  BibTeX
  @article{GraPau23, abstract = {This paper introduces a novel representation of convolutional Neural Networks (CNNs) in terms of 2-D dynamical systems. To this end, the usual description of convolutional layers with convolution kernels, i.e., the impulse responses of linear filters, is realized in state space as a linear time-invariant 2-D system. The overall convolutional Neural Network composed of convolutional layers and nonlinear activation functions is then viewed as a 2-D version of a Lur'e system, i.e., a linear dynamical system interconnected with static nonlinear components. One benefit of this 2-D Lur'e system perspective on CNNs is that we can use robust control theory much more efficiently for Lipschitz constant estimation than previously possible.}, archiveprefix = {arXiv}, author = {Gramlich, Dennis and Pauli, Patricia and Scherer, Carsten W. and Allgöwer, Frank and Ebenbauer, Christian}, copyright = {Creative Commons Attribution Non Commercial Share Alike 4.0 International}, doi = {10.48550/ARXIV.2303.03042}, eprint = {2303.03042}, file = {:GraPau23 - Convolutional Neural Networks As 2 D Systems.pdf:PDF}, groups = {PN4-3, PN4-3(II)}, month = {03}, primaryclass = {math.OC}, publisher = {arXiv}, title = {Convolutional Neural Networks as 2-D systems}, year = 2023 }
15. D. Gramlich, T. Holicki, C. W. Scherer, und C. Ebenbauer, A Structure Exploiting SDP Solver for Robust Controller Synthesis, IEEE Control Systems Letters, 2023.
  - BibTeX
  BibTeX
  @article{GraHol23, author = {Gramlich, Dennis and Holicki, Tobias and Scherer, Carsten W. and Ebenbauer, Christian}, doi = {10.1109/lcsys.2023.3277314}, file = {:Scherer/2023/GraHol23.pdf:PDF}, groups = {PN4-3, PN4-3(II)}, journal = {{IEEE} Control Systems Letters}, pages = {1831--1836}, publisher = {Institute of Electrical and Electronics Engineers ({IEEE})}, title = {A Structure Exploiting {SDP} Solver for Robust Controller Synthesis}, volume = 7, year = 2023 }
16. J. Berberich, C. W. Scherer, und F. Allgower, Combining Prior Knowledge and Data for Robust Controller Design, IEEE Transactions on Automatic Control, 2023.
  - BibTeX
  BibTeX
  @article{BerSch22, author = {Berberich, Julian and Scherer, Carsten W. and Allgower, Frank}, doi = {10.1109/tac.2022.3209342}, journal = {{IEEE} Transactions on Automatic Control}, number = 8, pages = {4618 - 4633}, publisher = {Institute of Electrical and Electronics Engineers ({IEEE})}, title = {Combining Prior Knowledge and Data for Robust Controller Design}, volume = 68, year = 2023 }
2022
1. C. W. Scherer, Dissipativity, Convexity and Tight O\textquotesingleShea-Zames-Falb Multipliers for Safety Guarantees, IFAC-PapersOnLine, 2022.
  - BibTeX
  BibTeX
  @article{Sch22a, author = {Scherer, Carsten W.}, doi = {10.1016/j.ifacol.2022.11.044}, journal = {{IFAC}-{PapersOnLine}}, number = 30, pages = {150--155}, publisher = {Elsevier {BV}}, title = {Dissipativity, Convexity and Tight O{\textquotesingle}Shea-Zames-Falb Multipliers for Safety Guarantees}, volume = 55, year = 2022 }
2. C. Scherer, Dissipativity and Integral Quadratic Constraints, Tailored computational robustness tests for complex interconnections, IEEE Control Systems Magazine, 2022.
  - BibTeX
  - Link
  BibTeX
  @article{Sch22, archiveprefix = {arXiv}, author = {Scherer, Carsten}, doi = {10.1109/MCS.2022.3157117}, eprint = {2105.07401}, journal = {IEEE Control Systems Magazine}, number = 3, pages = {115-139}, primaryclass = {math.OC}, title = {Dissipativity and Integral Quadratic Constraints, Tailored computational robustness tests for complex interconnections}, url = {https://arxiv.org/abs/2105.07401}, volume = 42, year = 2022 }
  Link
  https://arxiv.org/abs/2105.07401
3. C. A. Rösinger und C. W. Scherer, Gain-Scheduling Controller Synthesis for Networked Systems with Full Block Scalings, 2022.
  - Zusammenfassung
  - BibTeX
  Zusammenfassung
  This work presents a framework to synthesize structured gain-scheduled controllers for structured plants that are affected by time-varying parametric scheduling blocks. Using a so-called lifting approach, we are able to handle several structured gain-scheduling problems arising from a nested inner and outer loop configuration with partial or full dependence on the scheduling block. Our resulting design conditions are formulated in terms of convex linear matrix inequalities and permit to handle multiple performance objectives.
  BibTeX
  @article{RoeSch22, abstract = {This work presents a framework to synthesize structured gain-scheduled controllers for structured plants that are affected by time-varying parametric scheduling blocks. Using a so-called lifting approach, we are able to handle several structured gain-scheduling problems arising from a nested inner and outer loop configuration with partial or full dependence on the scheduling block. Our resulting design conditions are formulated in terms of convex linear matrix inequalities and permit to handle multiple performance objectives.}, archiveprefix = {arXiv}, author = {Rösinger, Christian A. and Scherer, Carsten W.}, eprint = {2210.03712}, file = {:http\://arxiv.org/pdf/2210.03712v1:PDF}, primaryclass = {math.OC}, title = {Gain-Scheduling Controller Synthesis for Networked Systems with Full Block Scalings}, year = 2022 }
4. C. A. Rösinger und C. W. Scherer, Gain-Scheduling Controller Synthesis for Networked Systems with Full Block Scalings, arXiv, 2022.
  - BibTeX
  - Link
  BibTeX
  @preprint{rosinger2022gainscheduling, author = {R\"{o}singer, Christian A. and Scherer, Carsten W.}, publisher = {arXiv}, title = {Gain-Scheduling Controller Synthesis for Networked Systems with Full Block Scalings}, url = {https://doi.org/10.48550/arXiv.2210.03712}, year = 2022 }
  Link
  https://doi.org/10.48550/arXiv.2210.03712
5. A. Kharitenko, Some contributions to the theory of stability multipliers, 2022.
  - BibTeX
  BibTeX
  @mastersthesis{kharitenko2022contributions, author = {Kharitenko, Andrey}, school = {University of Stuttgart}, title = {Some contributions to the theory of stability multipliers}, year = 2022 }
6. T. Holicki und C. W. Scherer, Input-Output-Data-Enhanced Robust Analysis via Lifting, 2022.
  - Zusammenfassung
  - BibTeX
  Zusammenfassung
  Starting from a linear fractional representation of a linear system affected by constant parametric uncertainties, we demonstrate how to enhance standard robust analysis tests by taking available (noisy) input-output data of the uncertain system into account. Our approach relies on a lifting of the system and on the construction of data-dependent multipliers. It leads to a test in terms of linear matrix inequalities which guarantees stability and performance for all systems compatible with the observed data if it is in the affirmative. In contrast to many other data-based approaches, prior physical knowledge is included at the outset due to the underlying linear fractional representation.
  BibTeX
  @article{HolSch22, abstract = {Starting from a linear fractional representation of a linear system affected by constant parametric uncertainties, we demonstrate how to enhance standard robust analysis tests by taking available (noisy) input-output data of the uncertain system into account. Our approach relies on a lifting of the system and on the construction of data-dependent multipliers. It leads to a test in terms of linear matrix inequalities which guarantees stability and performance for all systems compatible with the observed data if it is in the affirmative. In contrast to many other data-based approaches, prior physical knowledge is included at the outset due to the underlying linear fractional representation.}, archiveprefix = {arXiv}, author = {Holicki, Tobias and Scherer, Carsten W.}, eprint = {2211.02149}, file = {:http\://arxiv.org/pdf/2211.02149v1:PDF}, month = {11}, primaryclass = {math.OC}, title = {Input-Output-Data-Enhanced Robust Analysis via Lifting}, year = 2022 }
7. T. Holicki und C. W. Scherer, IQC Based Analysis and Estimator Design for Discrete-Time Systems Affected by Impulsive Uncertainties, 2022.
  - Zusammenfassung
  - BibTeX
  Zusammenfassung
  We propose novel quadratic performance tests for linear discrete-time impulsive systems based on viewing these systems as feedback interconnections of some non-impulsive linear system with an impulsive operator. In order to systematically analyze such interconnections, we employ the framework of integral quadratic constraints and propose novel constraints of this kind for capturing the behavior of the involved impulsive operator. As a major benefit, the modularity of this framework permits seamless extensions to interconnections affected by heterogeneous uncertainties in a straightforward fashion. This contrasts with alternative approaches which are based on capturing the system's impulsive behavior by means of a clock. Building upon the developed analysis criteria, we characterize the existence of non-impulsive estimators for such impulsive interconnections in a lossless fashion and in terms of linear matrix inequalities. Finally, our approach is illustrated by means of several numerical examples.
  BibTeX
  @article{HolSch22a, abstract = {We propose novel quadratic performance tests for linear discrete-time impulsive systems based on viewing these systems as feedback interconnections of some non-impulsive linear system with an impulsive operator. In order to systematically analyze such interconnections, we employ the framework of integral quadratic constraints and propose novel constraints of this kind for capturing the behavior of the involved impulsive operator. As a major benefit, the modularity of this framework permits seamless extensions to interconnections affected by heterogeneous uncertainties in a straightforward fashion. This contrasts with alternative approaches which are based on capturing the system's impulsive behavior by means of a clock. Building upon the developed analysis criteria, we characterize the existence of non-impulsive estimators for such impulsive interconnections in a lossless fashion and in terms of linear matrix inequalities. Finally, our approach is illustrated by means of several numerical examples.}, archiveprefix = {arXiv}, author = {Holicki, Tobias and Scherer, Carsten W.}, eprint = {2212.08837}, file = {:http\://arxiv.org/pdf/2212.08837v1:PDF}, month = {12}, primaryclass = {math.OC}, title = {IQC Based Analysis and Estimator Design for Discrete-Time Systems Affected by Impulsive Uncertainties}, year = 2022 }
8. T. Holicki und C. W. Scherer, A Dynamic S-Procedure for Dynamic Uncertainties, in IFAC-PapersOnline, 2022.
  Zusammenfassung
  We show how to compose robust stability tests for uncertain systems modeled as linear fractional representations and affected by various types of dynamic uncertainties. Our results are formulated in terms of linear matrix inequalities and rest on the recently established notion of finite-horizon integral quadratic constraints with a terminal cost. The construction of such constraints is motivated by an unconventional application of the S-procedure in the frequency domain with dynamic Lagrange multipliers. Our technical contribution reveals how this construction can be performed by dissipativity arguments in the time-domain and in a lossless fashion. This opens the way for generalizations to time-varying or hybrid systems.
  BibTeX
  @inproceedings{holicki2022dynamic, abstract = {We show how to compose robust stability tests for uncertain systems modeled as linear fractional representations and affected by various types of dynamic uncertainties. Our results are formulated in terms of linear matrix inequalities and rest on the recently established notion of finite-horizon integral quadratic constraints with a terminal cost. The construction of such constraints is motivated by an unconventional application of the S-procedure in the frequency domain with dynamic Lagrange multipliers. Our technical contribution reveals how this construction can be performed by dissipativity arguments in the time-domain and in a lossless fashion. This opens the way for generalizations to time-varying or hybrid systems.}, author = {Holicki, T. and Scherer, C. W.}, doi = {10.1016/j.ifacol.2022.09.331}, journal = {{IFAC}-{P}apers{O}nline}, number = 25, pages = {103-108}, title = {A Dynamic S-Procedure for Dynamic Uncertainties}, url = {https://doi.org/10.1016/j.ifacol.2022.09.331}, volume = 55, year = 2022 }
  Link
  https://doi.org/10.1016/j.ifacol.2022.09.331
9. T. Holicki, A Complete Analysis and Design Framework for Linear Impulsive and Related Hybrid Systems, University of Stuttgart, 2022.
  - Zusammenfassung
  - BibTeX
  Zusammenfassung
  We establish a framework for systematically analyzing and designing output-feedback controllers for linear impulsive and related hybrid systems that might even be affected by various types of uncertainties. In particular, the framework encompasses uncertain switched and sampled-data systems as well as networked systems with switching communication topologies. The framework is based on recently developed convex criteria involving a so-called clock for analyzing impulsive systems under dwell-time constraints. We elaborate on the extension of those criteria for dynamic output-feedback controller synthesis by means of convex optimization and generalize the so-called dual iteration to impulsive systems. The latter originally and still constitutes a promising heuristic procedure for the challenging and non-convex design of static output-feedback controllers for standard linear time-invariant systems. Moreover, for uncertain impulsive systems as modeled in terms of linear fractional representations, we generalize the nominal analysis criteria by providing novel robust analysis conditions based on a novel time-domain and clock-dependent formulation of integral quadratic constraints. Finally, by combining the insights on nominal synthesis and robust analysis, we are able to tackle challenging output-feedback designs of practical relevance, such as the design of gain-scheduled, robust or robust gain-scheduled controllers for impulsive systems. Most of the obtained analysis and synthesis conditions involve infinite-dimensional (differential) linear matrix inequalities which can be numerically solved by using relaxation methods based on, e.g., linear splines, B-splines or matrix sum-of-squares that we discuss as well.
  BibTeX
  @phdthesis{holicki2022complete, abstract = {We establish a framework for systematically analyzing and designing output-feedback controllers for linear impulsive and related hybrid systems that might even be affected by various types of uncertainties. In particular, the framework encompasses uncertain switched and sampled-data systems as well as networked systems with switching communication topologies. The framework is based on recently developed convex criteria involving a so-called clock for analyzing impulsive systems under dwell-time constraints. We elaborate on the extension of those criteria for dynamic output-feedback controller synthesis by means of convex optimization and generalize the so-called dual iteration to impulsive systems. The latter originally and still constitutes a promising heuristic procedure for the challenging and non-convex design of static output-feedback controllers for standard linear time-invariant systems. Moreover, for uncertain impulsive systems as modeled in terms of linear fractional representations, we generalize the nominal analysis criteria by providing novel robust analysis conditions based on a novel time-domain and clock-dependent formulation of integral quadratic constraints. Finally, by combining the insights on nominal synthesis and robust analysis, we are able to tackle challenging output-feedback designs of practical relevance, such as the design of gain-scheduled, robust or robust gain-scheduled controllers for impulsive systems. Most of the obtained analysis and synthesis conditions involve infinite-dimensional (differential) linear matrix inequalities which can be numerically solved by using relaxation methods based on, e.g., linear splines, B-splines or matrix sum-of-squares that we discuss as well.}, author = {Holicki, T.}, doi = {10.18419/opus-12158}, school = {University of Stuttgart}, title = {A Complete Analysis and Design Framework for Linear Impulsive and Related Hybrid Systems}, year = 2022 }
10. D. Gramlich, C. W. Scherer, und C. Ebenbauer, Robust Differential Dynamic Programming, in 61st IEEE Conf. Decision and Control, 2022.
  - BibTeX
  BibTeX
  @inproceedings{GraSch22, author = {Gramlich, Dennis and Scherer, Carsten W. and Ebenbauer, Christian}, booktitle = {61st IEEE Conf. Decision and Control}, doi = {10.1109/cdc51059.2022.9992569}, title = {Robust Differential Dynamic Programming}, year = 2022 }
11. D. Gramlich, C. Ebenbauer, und C. W. Scherer, Synthesis of Accelerated Gradient Algorithms for Optimization and Saddle Point Problems using Lyapunov functions, Syst. Control Lett., 2022.
  Zusammenfassung
  This paper considers the problem of designing accelerated gradient-based algorithms for optimization and saddle-point problems. The class of objective functions is defined by a generalized sector condition. This class of functions contains strongly convex functions with Lipschitz gradients but also non-convex functions, which allows not only to address optimization problems but also saddle-point problems. The proposed design procedure relies on a suitable class of Lyapunov functions and on convex semi-definite programming. The proposed synthesis allows the design of algorithms that reach the performance of state-of-the-art accelerated gradient methods and beyond.
  BibTeX
  @article{GraEbe21, abstract = {This paper considers the problem of designing accelerated gradient-based algorithms for optimization and saddle-point problems. The class of objective functions is defined by a generalized sector condition. This class of functions contains strongly convex functions with Lipschitz gradients but also non-convex functions, which allows not only to address optimization problems but also saddle-point problems. The proposed design procedure relies on a suitable class of Lyapunov functions and on convex semi-definite programming. The proposed synthesis allows the design of algorithms that reach the performance of state-of-the-art accelerated gradient methods and beyond.}, archiveprefix = {arXiv}, author = {Gramlich, Dennis and Ebenbauer, Christian and Scherer, Carsten W.}, doi = {doi.org/10.1016/j.sysconle.2022.105271}, eprint = {2006.09946}, file = {:GraEbe21 - Synthesis of Accelerated Gradient Algorithms for Optimization and Saddle Point Problems Using Lyapunov Functions.pdf:PDF;:GraEbe21 - Synthesis of Accelerated Gradient Algorithms for Optimization and Saddle Point Problems Using Lyapunov Functions.bib:bib}, journal = {Syst. Control Lett.}, primaryclass = {math.OC}, title = {Synthesis of Accelerated Gradient Algorithms for Optimization and Saddle Point Problems using Lyapunov functions}, url = {https://arxiv.org/abs/2006.09946}, volume = 165, year = 2022 }
  Link
  https://arxiv.org/abs/2006.09946
12. C. Fiedler, C. W. Scherer, und S. Trimpe, Learning Functions and Uncertainty Sets Using Geometrically Constrained Kernel Regression, in 61st IEEE Conf. Decision and Control, 2022.
  - BibTeX
  BibTeX
  @inproceedings{FieSch22, author = {Fiedler, Christian and Scherer, Carsten W. and Trimpe, Sebastian}, booktitle = {61st IEEE Conf. Decision and Control}, doi = {10.1109/cdc51059.2022.9993144}, pages = {2141-2146}, publisher = {{IEEE}}, title = {Learning Functions and Uncertainty Sets Using Geometrically Constrained Kernel Regression}, year = 2022 }
13. J. Berberich, C. W. Scherer, und F. Allgower, Combining Prior Knowledge and Data for Robust Controller Design, IEEE Transactions on Automatic Control, 2022.
  - BibTeX
  BibTeX
  @article{BerSch22, author = {Berberich, Julian and Scherer, Carsten W. and Allgower, Frank}, doi = {10.1109/tac.2022.3209342}, journal = {{IEEE} Transactions on Automatic Control}, number = 8, pages = {4618 - 4633}, publisher = {Institute of Electrical and Electronics Engineers ({IEEE})}, title = {Combining Prior Knowledge and Data for Robust Controller Design}, volume = 68, year = 2022 }
2021
1. J. Veenman, C. W. Scherer, C. Ardura, S. Bennani, V. Preda, und B. Girouart, IQClab: A new IQC based toolbox for robustness analysis and control design, in IFAC-PapersOnline, 2021.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{VeeSch21, author = {Veenman, Joost and Scherer, Carsten W. and Ardura, Carlos and Bennani, Samir and Preda, Valentin and Girouart, B{\'{e}}n{\'{e}}dicte}, booktitle = {{IFAC}-{P}apers{O}nline}, doi = {10.1016/j.ifacol.2021.08.583}, number = 8, pages = {69--74}, title = {{IQClab}: A new {IQC} based toolbox for robustness analysis and control design}, url = {https://doi.org/10.1016/j.ifacol.2021.08.583}, volume = 54, year = 2021 }
  Link
  https://doi.org/10.1016/j.ifacol.2021.08.583
2. C. Scherer und C. Ebenbauer, Convex Synthesis of Accelerated Gradient Algorithms, SIAM Journal on Control and Optimization, 2021.
  Zusammenfassung
  We present a convex solution for the design of generalized accelerated gradient algorithms for strongly convex objective functions with Lipschitz continuous gradients. We utilize integral quadratic constraints and the Youla parameterization from robust control theory to formulate a solution of the algorithm design problem as a convex semidefinite program. We establish explicit formulas for the optimal convergence rates and extend the proposed synthesis solution to extremum control problems.
  BibTeX
  @article{SchEbe21, abstract = {We present a convex solution for the design of generalized accelerated gradient algorithms for strongly convex objective functions with Lipschitz continuous gradients. We utilize integral quadratic constraints and the Youla parameterization from robust control theory to formulate a solution of the algorithm design problem as a convex semidefinite program. We establish explicit formulas for the optimal convergence rates and extend the proposed synthesis solution to extremum control problems.}, author = {Scherer, Carsten and Ebenbauer, Christian}, doi = {10.1137/21M1398598}, eprint = {https://doi.org/10.1137/21M1398598}, journal = {SIAM Journal on Control and Optimization}, number = 6, pages = {4615-4645}, title = {Convex Synthesis of Accelerated Gradient Algorithms}, url = {https://doi.org/10.1137/21M1398598}, volume = 59, year = 2021 }
  Link
  https://doi.org/10.1137/21M1398598
3. S. Michalowsky, C. Scherer, und C. Ebenbauer, Robust and structure exploiting optimisation algorithms: An integral quadratic constraint approach, International Journal of Control, 2021.
  - BibTeX
  - Link
  BibTeX
  @article{michalowsky2020robust, affiliation = {Michalowsky, S (Reprint Author), Univ Stuttgart, Inst Syst Theory & Automat Control, Stuttgart, Germany. Michalowsky, Simon; Ebenbauer, Christian, Univ Stuttgart, Inst Syst Theory & Automat Control, Stuttgart, Germany. Scherer, Carsten, Univ Stuttgart, Math Syst Theory, Stuttgart, Germany.}, author = {Michalowsky, Simon and Scherer, Carsten and Ebenbauer, Christian}, doi = {10.1080/00207179.2020.1745286}, journal = {International Journal of Control}, number = 11, pages = {2956-2979}, publisher = {Taylor & Francis}, research-areas = {Automation & Control Systems}, title = {Robust and structure exploiting optimisation algorithms: {A}n integral quadratic constraint approach}, unique-id = {ISI:000523330900001}, url = {https://doi.org/10.1080%2f00207179.2020.1745286}, volume = 94, year = 2021 }
  Link
  https://doi.org/10.1080%2f00207179.2020.1745286
4. T. Holicki und C. W. Scherer, Revisiting and Generalizing the Dual Iteration for Static and Robust Output-Feedback Synthesis, Int. J. Robust Nonlin., 2021.
  Zusammenfassung
  The dual iteration was introduced in a conference paper in 1997 by Iwasaki as an iterative and heuristic procedure for the challenging and non-convex design of static output-feedback controllers. We recall in detail its essential ingredients and go beyond the work of Iwasaki by demonstrating that the framework of linear fractional representations allows for a seamless extension the dual iteration to output-feedback designs of tremendous practical relevance such as the design of robust or robust gain-scheduled controllers. In the paper of Iwasaki the dual iteration is solely based on, and motivated by algebraic manipulations resulting from the elimination lemma. We provide a novel control theoretic interpretation of the individual steps, which paves the way for further generalizations of the powerful scheme to situations where the elimination lemma is not applicable. Exemplary, we extend the dual iteration to the multi-objective design of static output-feedback H∞-controllers, which guarantee that the closed-loop poles are contained in an a priori specified generalized stability region. We demonstrate the approach with numerous numerical examples inspired from the literature.
  BibTeX
  @article{HolSch21a, abstract = {The dual iteration was introduced in a conference paper in 1997 by Iwasaki as an iterative and heuristic procedure for the challenging and non-convex design of static output-feedback controllers. We recall in detail its essential ingredients and go beyond the work of Iwasaki by demonstrating that the framework of linear fractional representations allows for a seamless extension the dual iteration to output-feedback designs of tremendous practical relevance such as the design of robust or robust gain-scheduled controllers. In the paper of Iwasaki the dual iteration is solely based on, and motivated by algebraic manipulations resulting from the elimination lemma. We provide a novel control theoretic interpretation of the individual steps, which paves the way for further generalizations of the powerful scheme to situations where the elimination lemma is not applicable. Exemplary, we extend the dual iteration to the multi-objective design of static output-feedback H∞-controllers, which guarantee that the closed-loop poles are contained in an a priori specified generalized stability region. We demonstrate the approach with numerous numerical examples inspired from the literature.}, author = {Holicki, Tobias and Scherer, Carsten W.}, doi = {10.1002/rnc.5547}, file = {:Scherer/2021/HolSch21a.pdf:PDF}, journal = {Int. J. Robust Nonlin.}, pages = {1-33}, title = {Revisiting and Generalizing the Dual Iteration for Static and Robust Output-Feedback Synthesis}, url = {https://doi.org/10.1002/rnc.5547}, year = 2021 }
  Link
  https://doi.org/10.1002/rnc.5547
5. T. Holicki und C. W. Scherer, Algorithm Design and Extremum Control:Convex Synthesis due to Plant Multiplier Commutation, in 60th IEEE Conf. Decision and Control (to appear), 2021.
  - BibTeX
  BibTeX
  @inproceedings{HolSch21b, author = {Holicki, T. and Scherer, C.W.}, booktitle = {60th IEEE Conf. Decision and Control (to appear)}, title = {Algorithm Design and Extremum Control:Convex Synthesis due to Plant Multiplier Commutation}, year = 2021 }
6. T. Holicki, C. W. Scherer, und S. Trimpe, Controller Design via Experimental Exploration with Robustness Guarantees, IEEE Control Syst. Lett., 2021.
  Zusammenfassung
  For a partially unknown linear systems, we present a systematic control design approach based on generated data from measurements of closed-loop experiments with suitable test controllers. These experiments are used to improve the achieved performance and to reduce the uncertainty about the unknown parts of the system. This is achieved through a parametrization of auspicious controllers with convex relaxation techniques from robust control, which guarantees that their implementation on the unknown plant is safe. This approach permits to systematically incorporate available prior knowledge about the system by employing the framework of linear fractional representations.
  BibTeX
  @article{holicki2020controller, abstract = {For a partially unknown linear systems, we present a systematic control design approach based on generated data from measurements of closed-loop experiments with suitable test controllers. These experiments are used to improve the achieved performance and to reduce the uncertainty about the unknown parts of the system. This is achieved through a parametrization of auspicious controllers with convex relaxation techniques from robust control, which guarantees that their implementation on the unknown plant is safe. This approach permits to systematically incorporate available prior knowledge about the system by employing the framework of linear fractional representations.}, author = {Holicki, T. and Scherer, C. W. and Trimpe, S.}, doi = {10.1109/LCSYS.2020.3004506}, journal = {IEEE Control Syst. Lett.}, number = 2, pages = {641 - 646}, title = {Controller Design via Experimental Exploration with Robustness Guarantees}, url = {https://doi.org/10.1109/LCSYS.2020.3004506}, volume = 5, year = 2021 }
  Link
  https://doi.org/10.1109/LCSYS.2020.3004506
7. T. Holicki und C. W. Scherer, Optimization-based design of data-integrated controllers, Poster at the SimTech Statusseminar. 2021.
  - Zusammenfassung
  - BibTeX
  Zusammenfassung
  This project focuses on the development of computational methods to design controllers for data-integrated models with emphasis on guarantees for robustness. We target the extension of the scheduling approach to the design of controllers capable of adapting to newly incoming online data with mathematical certificates for the closed-loop system.
  BibTeX
  @misc{holicki2021optimizationbased, abstract = {This project focuses on the development of computational methods to design controllers for data-integrated models with emphasis on guarantees for robustness. We target the extension of the scheduling approach to the design of controllers capable of adapting to newly incoming online data with mathematical certificates for the closed-loop system.}, author = {Holicki, T. and Scherer, C. W.}, howpublished = {Poster at the SimTech Statusseminar}, journal = {Poster at the SimTech Statusseminar}, title = {Optimization-based design of data-integrated controllers}, year = 2021 }
8. T. Holicki und C. W. Scherer, Robust Gain-Scheduled Estimation with Dynamic D-Scalings, IEEE Trans. Autom. Control, 2021.
  - Zusammenfassung
  - BibTeX
  Zusammenfassung
  We provide a convex solution to the robust gain-scheduled estimation problem based on integral quadratic constraints with dynamic D-scalings for both the uncertain and the scheduled component. This closes an important gap since so far merely static scalings or multipliers could be used for the scheduled component in estimation problems. To this end, we provide novel synthesis criteria in terms of linear matrix inequalities for the design of nominal gain-scheduled estimators which allow for a direct combination with available results on robust estimation. We illustrate the benefit of our design approach by means of a numerical example.
  BibTeX
  @article{holicki2021robust, abstract = {We provide a convex solution to the robust gain-scheduled estimation problem based on integral quadratic constraints with dynamic D-scalings for both the uncertain and the scheduled component. This closes an important gap since so far merely static scalings or multipliers could be used for the scheduled component in estimation problems. To this end, we provide novel synthesis criteria in terms of linear matrix inequalities for the design of nominal gain-scheduled estimators which allow for a direct combination with available results on robust estimation. We illustrate the benefit of our design approach by means of a numerical example.}, author = {Holicki, T. and Scherer, C. W.}, doi = {10.1109/TAC.2021.3052751}, journal = {IEEE Trans. Autom. Control}, title = {Robust Gain-Scheduled Estimation with Dynamic D-Scalings}, year = 2021 }
9. C. Fiedler, C. W. Scherer, und S. Trimpe, Learning-enhanced robust controller synthesis with rigorous statistical and control-theoretic guarantees, in 60th IEEE Conf. Decision and Control (to appear), 2021.
  Zusammenfassung
  The combination of machine learning with control offers many opportunities, in particular for robust control. However, due to strong safety and reliability requirements in many real-world applications, providing rigorous statistical and control-theoretic guarantees is of utmost importance, yet difficult to achieve for learning-based control schemes. We present a general framework for learning-enhanced robust control that allows for systematic integration of prior engineering knowledge, is fully compatible with modern robust control and still comes with rigorous and practically meaningful guarantees. Building on the established Linear Fractional Representation and Integral Quadratic Constraints framework, we integrate Gaussian Process Regression as a learning component and state-of-the-art robust controller synthesis. In a concrete robust control example, our approach is demonstrated to yield improved performance with more data, while guarantees are maintained throughout.
  BibTeX
  @inproceedings{FieSch21, abstract = {The combination of machine learning with control offers many opportunities, in particular for robust control. However, due to strong safety and reliability requirements in many real-world applications, providing rigorous statistical and control-theoretic guarantees is of utmost importance, yet difficult to achieve for learning-based control schemes. We present a general framework for learning-enhanced robust control that allows for systematic integration of prior engineering knowledge, is fully compatible with modern robust control and still comes with rigorous and practically meaningful guarantees. Building on the established Linear Fractional Representation and Integral Quadratic Constraints framework, we integrate Gaussian Process Regression as a learning component and state-of-the-art robust controller synthesis. In a concrete robust control example, our approach is demonstrated to yield improved performance with more data, while guarantees are maintained throughout.}, author = {Fiedler, Christian and Scherer, Carsten W. and Trimpe, Sebastian}, booktitle = {60th IEEE Conf. Decision and Control (to appear)}, eprint = {2105.03397}, eprintclass = {eess.SY}, eprinttype = {arXiv}, file = {:FieSch21 - Learning Enhanced Robust Controller Synthesis with Rigorous Statistical and Control Theoretic Guarantees.pdf:PDF}, title = {Learning-enhanced robust controller synthesis with rigorous statistical and control-theoretic guarantees}, url = {https://arxiv.org/abs/2105.03397}, year = 2021 }
  Link
  https://arxiv.org/abs/2105.03397
10. C. Fiedler, C. W. Scherer, und S. Trimpe, Practical and Rigorous Uncertainty Bounds for Gaussian Process Regression, in Proceedings of the AAAI Conference on Artificial Intelligence, 2021.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{fiedler2021practical, author = {Fiedler, C. and Scherer, C. W. and Trimpe, S.}, booktitle = {Proceedings of the AAAI Conference on Artificial Intelligence}, number = 8, pages = {7439-7447}, title = {Practical and Rigorous Uncertainty Bounds for Gaussian Process Regression}, url = {https://ojs.aaai.org/index.php/AAAI/article/view/16912}, volume = 35, year = 2021 }
  Link
  https://ojs.aaai.org/index.php/AAAI/article/view/16912
2020
1. C. A. Rösinger und C. W. Scherer, A Flexible Synthesis Framework of Structured Controllers for Networked Systems, IEEE Transactions on Control of Network Systems, 2020.
  - BibTeX
  - Link
  BibTeX
  @article{rosinger2020flexible, author = {R\"{o}singer, Christian A. and Scherer, Carsten W.}, doi = {10.1109/TCNS.2019.2914411}, journal = {IEEE Transactions on Control of Network Systems}, number = 1, pages = {6-18}, title = {A Flexible Synthesis Framework of Structured Controllers for Networked Systems}, url = {https://doi.org/10.1109/TCNS.2019.2914411}, volume = 7, year = 2020 }
  Link
  https://doi.org/10.1109/TCNS.2019.2914411
2. C. A. Rösinger und C. W. Scherer, Lifting to Passivity for $H_2$-Gain-Scheduling Synthesis with Full Block Scalings, IFAC-PapersOnLine, 2020.
  - BibTeX
  - Link
  BibTeX
  @article{rosinger2020lifting, author = {R\"{o}singer, Christian A. and Scherer, Carsten W.}, doi = {10.1016/j.ifacol.2020.12.570}, journal = {IFAC-PapersOnLine}, number = 2, pages = {7292-7298}, title = {Lifting to Passivity for $H_2$-Gain-Scheduling Synthesis with Full Block Scalings}, url = {https://doi.org/10.1016/j.ifacol.2020.12.570}, volume = 53, year = 2020 }
  Link
  https://doi.org/10.1016/j.ifacol.2020.12.570
3. S. Michalowsky, C. Scherer, und C. Ebenbauer, Robust and structure exploiting optimisation algorithms: An integral quadratic constraint approach, International Journal of Control, 2020.
  - BibTeX
  - Link
  BibTeX
  @article{michalowsky2020robust, affiliation = {Michalowsky, S (Reprint Author), Univ Stuttgart, Inst Syst Theory & Automat Control, Stuttgart, Germany. Michalowsky, Simon; Ebenbauer, Christian, Univ Stuttgart, Inst Syst Theory & Automat Control, Stuttgart, Germany. Scherer, Carsten, Univ Stuttgart, Math Syst Theory, Stuttgart, Germany.}, author = {Michalowsky, Simon and Scherer, Carsten and Ebenbauer, Christian}, doi = {10.1080/00207179.2020.1745286}, journal = {International Journal of Control}, pages = {1-24}, publisher = {Taylor & Francis}, research-areas = {Automation & Control Systems}, title = {Robust and structure exploiting optimisation algorithms: {A}n integral quadratic constraint approach}, unique-id = {ISI:000523330900001}, url = {https://doi.org/10.1080%2f00207179.2020.1745286}, volume = 2020, year = 2020 }
  Link
  https://doi.org/10.1080%2f00207179.2020.1745286
4. T. Holicki und C. W. Scherer, Output-Feedback Synthesis for a Class of Aperiodic Impulsive Systems, in IFAC-PapersOnline, 2020.
  Zusammenfassung
  We derive novel criteria for designing stabilizing dynamic output-feedback controllers for a class of aperiodic impulsive systems subject to a range dwell-time condition. Our synthesis conditions are formulated as clock-dependent linear matrix inequalities (LMIs) which can be solved numerically, e.g., by using matrix sum-of-squares relaxation methods. We show that our results allow us to design dynamic output-feedback controllers for aperiodic sample-data systems and illustrate the proposed approach by means of a numerical example.
  BibTeX
  @inproceedings{holicki2019outputfeedback, abstract = {We derive novel criteria for designing stabilizing dynamic output-feedback controllers for a class of aperiodic impulsive systems subject to a range dwell-time condition. Our synthesis conditions are formulated as clock-dependent linear matrix inequalities (LMIs) which can be solved numerically, e.g., by using matrix sum-of-squares relaxation methods. We show that our results allow us to design dynamic output-feedback controllers for aperiodic sample-data systems and illustrate the proposed approach by means of a numerical example.}, author = {Holicki, Tobias and Scherer, Carsten W.}, doi = {10.1016/j.ifacol.2020.12.981}, journal = {{IFAC}-{P}apers{O}nline}, number = 2, pages = {7299-7304}, title = {Output-Feedback Synthesis for a Class of Aperiodic Impulsive Systems}, url = {https://doi.org/10.1016/j.ifacol.2020.12.981}, volume = 53, year = 2020 }
  Link
  https://doi.org/10.1016/j.ifacol.2020.12.981
5. J. Berberich, C. W. Scherer, und F. Allgöwer, Combining Prior Knowledge and Data for Robust Controller Design, 2020.
  Zusammenfassung
  We present a framework for systematically combining data of an unknown linear time-invariant system with prior knowledge on the system matrices or on the uncertainty for robust controller design. Our approach leads to linear matrix inequality (LMI) based feasibility criteria which guarantee stability and performance robustly for all closed-loop systems consistent with the prior knowledge and the available data. The design procedures rely on a combination of multipliers inferred via prior knowledge and learnt from measured data, where for the latter a novel and unifying disturbance description is employed. While large parts of the paper focus on linear systems and input-state measurements, we also provide extensions to robust output-feedback design based on noisy input-output data and against nonlinear uncertainties. We illustrate through numerical examples that our approach provides a flexible framework for simultaneously leveraging prior knowledge and data, thereby reducing conservatism and improving performance significantly if compared to black-box approaches to data-driven control.
  BibTeX
  @article{BerSch20, abstract = {We present a framework for systematically combining data of an unknown linear time-invariant system with prior knowledge on the system matrices or on the uncertainty for robust controller design. Our approach leads to linear matrix inequality (LMI) based feasibility criteria which guarantee stability and performance robustly for all closed-loop systems consistent with the prior knowledge and the available data. The design procedures rely on a combination of multipliers inferred via prior knowledge and learnt from measured data, where for the latter a novel and unifying disturbance description is employed. While large parts of the paper focus on linear systems and input-state measurements, we also provide extensions to robust output-feedback design based on noisy input-output data and against nonlinear uncertainties. We illustrate through numerical examples that our approach provides a flexible framework for simultaneously leveraging prior knowledge and data, thereby reducing conservatism and improving performance significantly if compared to black-box approaches to data-driven control.}, author = {Berberich, Julian and Scherer, Carsten W. and Allgöwer, Frank}, eprint = {2009.05253}, eprintclass = {eess.SY}, eprinttype = {arXiv}, file = {:BerSch20 - Combining Prior Knowledge and Data for Robust Controller Design.pdf:PDF}, title = {Combining Prior Knowledge and Data for Robust Controller Design}, url = {https://arxiv.org/abs/2009.05253}, year = 2020 }
  Link
  https://arxiv.org/abs/2009.05253
6. J. Berberich, A. Koch, C. W. Scherer, und F. Allgöwer, Robust data-driven state-feedback design, in 2020 American Control Conference (ACC), 2020.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{BerKoc20, author = {Berberich, Julian and Koch, Anne and Scherer, Carsten W. and Allg{\"o}wer, Frank}, booktitle = {2020 American Control Conference ({ACC})}, doi = {10.23919/acc45564.2020.9147320}, pages = {1532-1538}, title = {Robust data-driven state-feedback design}, url = {/brokenurl#10.23919/ACC45564.2020.9147320}, year = 2020 }
  Link
  /brokenurl#10.23919/ACC45564.2020.9147320
7. M. Barreau, C. W. Scherer, F. Gouaisbaut, und A. Seuret, Integral Quadratic Constraints on Linear Infinite-dimensional Systems for Robust Stability Analysis, in IFAC-PapersOnline, 2020.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{barreau2020integral, author = {Barreau, M. and Scherer, C. W. and Gouaisbaut, F. and Seuret, A.}, booktitle = {{IFAC}-{P}apers{O}nline}, number = 2, pages = {7752-7757}, title = {Integral Quadratic Constraints on Linear Infinite-dimensional Systems for Robust Stability Analysis}, url = {https://www.sciencedirect.com/science/article/pii/S2405896320321297}, volume = 53, year = 2020 }
  Link
  https://www.sciencedirect.com/science/article/pii/S2405896320321297
2019
1. C. A. Rösinger und C. W. Scherer, A Scalings Approach to $H_2$-Gain-Scheduling Synthesis without Elimination, IFAC-PapersOnLine, 2019.
  - BibTeX
  - Link
  BibTeX
  @article{rosinger2019scalings, author = {R\"{o}singer, Christian A. and Scherer, Carsten W.}, doi = {10.1016/j.ifacol.2019.12.347}, journal = {IFAC-PapersOnLine}, number = 28, pages = {50-57}, title = {A Scalings Approach to {$H_2$}-Gain-Scheduling Synthesis without Elimination}, url = {https://doi.org/10.1016/j.ifacol.2019.12.347}, volume = 52, year = 2019 }
  Link
  https://doi.org/10.1016/j.ifacol.2019.12.347
2. T. Holicki und C. W. Scherer, A Homotopy Approach for Robust Output-Feedback Synthesis, in Proc. 27th. Med. Conf. Control Autom., 2019.
  Zusammenfassung
  We propose a novel approach for output-feedback controller design for linear systems affected by arbitrary fast time-varying uncertainties. Our approach is based on consecutively solving two related robust synthesis problems which by themselves admit convex solutions. The first one is robust full information controller design, while the subsequent one is similar to the robust estimator design problem. The latter includes a homotopy parameter that serves to construct a solution of the output-feedback synthesis problem from a given solution of the full information problem. In contrast to alternative approaches, ours requires to solve just two linear matrix inequalities and generates guaranteed bounds for the achieved performance. We illustrate our results with several numerical examples taken from the literature.
  BibTeX
  @inproceedings{HolSch19, abstract = {We propose a novel approach for output-feedback controller design for linear systems affected by arbitrary fast time-varying uncertainties. Our approach is based on consecutively solving two related robust synthesis problems which by themselves admit convex solutions. The first one is robust full information controller design, while the subsequent one is similar to the robust estimator design problem. The latter includes a homotopy parameter that serves to construct a solution of the output-feedback synthesis problem from a given solution of the full information problem. In contrast to alternative approaches, ours requires to solve just two linear matrix inequalities and generates guaranteed bounds for the achieved performance. We illustrate our results with several numerical examples taken from the literature.}, author = {Holicki, Tobias and Scherer, Carsten W.}, booktitle = {Proc. 27th. Med. Conf. Control Autom.}, doi = {10.1109/MED.2019.8798536}, pages = {87-93}, title = {A Homotopy Approach for Robust Output-Feedback Synthesis}, url = {https://doi.org/10.1109/MED.2019.8798536}, year = 2019 }
  Link
  https://doi.org/10.1109/MED.2019.8798536
3. T. Holicki und C. W. Scherer, Stability analysis and output-feedback synthesis of hybrid systems affected by piecewise constant parameters via dynamic resetting scalings, Nonlinear Analysis: Hybrid Systems, 2019.
  - BibTeX
  - Link
  BibTeX
  @article{Holicki_2019, author = {Holicki, Tobias and Scherer, Carsten W.}, doi = {10.1016/j.nahs.2019.06.003}, journal = {Nonlinear Analysis: Hybrid Systems}, pages = {179--208}, publisher = {Elsevier {BV}}, title = {Stability analysis and output-feedback synthesis of hybrid systems affected by piecewise constant parameters via dynamic resetting scalings}, url = {https://doi.org/10.1016/j.nahs.2019.06.003}, volume = 34, year = 2019 }
  Link
  https://doi.org/10.1016/j.nahs.2019.06.003
4. T. Holicki und C. W. Scherer, Distributed Control of Networked Systems by Convex Optimization, Poster at the SimTech Statusseminar. 2019.
  - Zusammenfassung
  - BibTeX
  Zusammenfassung
  This project deals with the systematic and scalable design of distributed controllers for networked systems with an undirected switching topology by means of semidefinite programming. The employed approach relies on separation techniques from robust control and is especially tailored to deal with the switching behavior of the underlying networks.
  BibTeX
  @misc{holicki2019distributed, abstract = {This project deals with the systematic and scalable design of distributed controllers for networked systems with an undirected switching topology by means of semidefinite programming. The employed approach relies on separation techniques from robust control and is especially tailored to deal with the switching behavior of the underlying networks.}, author = {Holicki, T. and Scherer, C. W.}, booktitle = {Poster at the SimTech Statusseminar}, howpublished = {Poster at the SimTech Statusseminar}, title = {Distributed Control of Networked Systems by Convex Optimization}, year = 2019 }
5. G. Baggio, S. Zampieri, und C. W. Scherer, Gramian Optimization with Input-Power Constraints, in 58th IEEE Conf. Decision and Control, 2019.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{BagZam19, author = {Baggio, G. and Zampieri, S. and Scherer, C. W.}, booktitle = {58th IEEE Conf. Decision and Control}, doi = {10.1109/CDC40024.2019.9029169}, pages = {5686-5691}, title = {Gramian Optimization with Input-Power Constraints}, url = {https://doi.org/10.1109/CDC40024.2019.9029169}, year = 2019 }
  Link
  https://doi.org/10.1109/CDC40024.2019.9029169
2018
1. C. W. Scherer und T. Holicki, An IQC theorem for relations: Towards stability analysis of data-integrated systems, in IFAC-PapersOnLine, 2018.
  Zusammenfassung
  We consider feedback interconnections composed of a linear system whose input-output behavior is constrained by a relation. It is shown how to analyze stability of such interconnections by suitably refining the general framework of integral quadratic constraints. For the special case of static multivalued monotone nonlinearities, we reveal that one can employ Zames-Falb multipliers in order to substantially reduce conservatism if compared with passivity-based approaches and as illustrated with a numerical example. Our results are expected to open up an avenue towards a systematic stability analysis of data-integrated systems.
  BibTeX
  @inproceedings{SchHol18, abstract = {We consider feedback interconnections composed of a linear system whose input-output behavior is constrained by a relation. It is shown how to analyze stability of such interconnections by suitably refining the general framework of integral quadratic constraints. For the special case of static multivalued monotone nonlinearities, we reveal that one can employ Zames-Falb multipliers in order to substantially reduce conservatism if compared with passivity-based approaches and as illustrated with a numerical example. Our results are expected to open up an avenue towards a systematic stability analysis of data-integrated systems.}, author = {Scherer, Carsten W. and Holicki, Tobias}, doi = {10.1016/j.ifacol.2018.11.138}, journal = {IFAC-PapersOnLine}, number = 25, pages = {390-395}, title = {An IQC theorem for relations: Towards stability analysis of data-integrated systems}, url = {https://doi.org/10.1016/j.ifacol.2018.11.138}, volume = 51, year = 2018 }
  Link
  https://doi.org/10.1016/j.ifacol.2018.11.138
2. C. W. Scherer und J. Veenman, Stability analysis by dynamic dissipation inequalities: On merging frequency-domain techniques with time-domain conditions, Syst. Control Lett., 2018.
  - BibTeX
  - Link
  BibTeX
  @article{SchVee18, author = {Scherer, C. W. and Veenman, J.}, doi = {10.1016/j.sysconle.2018.08.005}, journal = {Syst. Control Lett.}, pages = {7-15}, pdf-file = {http://www.mathematik.uni-stuttgart.de/fak8/imng peerReviewed /lehrstuhl/lehrstuhl_fuer_mathematische_systemtheorie/publikationen/papers/SchVee18.pdf}, title = {{S}tability analysis by dynamic dissipation inequalities: {O}n merging frequency-domain techniques with time-domain conditions}, url = {https://doi.org/10.1016/j.sysconle.2018.08.005}, volume = 121, year = 2018 }
  Link
  https://doi.org/10.1016/j.sysconle.2018.08.005
3. T. Holicki und C. W. Scherer, Output-Feedback Gain-Scheduling Synthesis for a Class of Switched Systems via Dynamic Resetting $D$-Scalings, in 57th IEEE Conf. Decision and Control, 2018.
  Zusammenfassung
  We derive novel criteria for robust stability and output-feedback gain-scheduling controller synthesis for a class of switched systems that are affected by piecewise constant parameters with dwell-time constraints. Our findings are based on clock-dependent Lyapunov arguments and rely, in contrast to other approaches, on separation techniques from robust control involving dynamic multipliers. The obtained conditions are expressed as infinite-dimensional linear matrix inequalities which can be solved by, e.g., using sum-of-squares relaxation methods. We illustrate our results with a numerical example.
  BibTeX
  @inproceedings{HolSch18b, abstract = {We derive novel criteria for robust stability and output-feedback gain-scheduling controller synthesis for a class of switched systems that are affected by piecewise constant parameters with dwell-time constraints. Our findings are based on clock-dependent Lyapunov arguments and rely, in contrast to other approaches, on separation techniques from robust control involving dynamic multipliers. The obtained conditions are expressed as infinite-dimensional linear matrix inequalities which can be solved by, e.g., using sum-of-squares relaxation methods. We illustrate our results with a numerical example.}, author = {Holicki, Tobias and Scherer, Carsten W.}, booktitle = {57th IEEE Conf. Decision and Control}, datadoi = {10.24433/CO.6595809.v1}, doi = {10.1109/CDC.2018.8619128}, pages = {6440-6445}, title = {Output-Feedback Gain-Scheduling Synthesis for a Class of Switched Systems via Dynamic Resetting ${D}$-Scalings}, url = {https://doi.org/10.1109/CDC.2018.8619128}, year = 2018 }
  Link
  https://doi.org/10.1109/CDC.2018.8619128
4. T. Holicki und C. W. Scherer, A Swapping Lemma for Switched Systems, in IFAC-PapersOnLine, 2018.
  Zusammenfassung
  Robust stability of a class of linear time-invariant systems affected by piecewise constant parameters with dwell-time constraints is considered. In contrast to other approaches the proposed result relies on separation techniques within the framework of integral quadratic constraints and is based on a novel version of the swapping lemma. In particular, our result allows to take additional knowledge on the variation of the parameter into account. The obtained conditions are expressed as infinite-dimensional linear matrix inequalities which can be solved, e.g., by using sum-of-squares relaxation methods. We illustrate the proposed approach with a numerical example.
  BibTeX
  @inproceedings{HolSch18, abstract = {Robust stability of a class of linear time-invariant systems affected by piecewise constant parameters with dwell-time constraints is considered. In contrast to other approaches the proposed result relies on separation techniques within the framework of integral quadratic constraints and is based on a novel version of the swapping lemma. In particular, our result allows to take additional knowledge on the variation of the parameter into account. The obtained conditions are expressed as infinite-dimensional linear matrix inequalities which can be solved, e.g., by using sum-of-squares relaxation methods. We illustrate the proposed approach with a numerical example.}, author = {Holicki, Tobias and Scherer, Carsten W.}, doi = {10.1016/j.ifacol.2018.11.131}, journal = {IFAC-PapersOnLine}, number = 25, pages = {346-352}, title = {A Swapping Lemma for Switched Systems}, url = {https://doi.org/10.1016/j.ifacol.2018.11.131}, volume = 51, year = 2018 }
  Link
  https://doi.org/10.1016/j.ifacol.2018.11.131
5. S. Haesaert, S. Weiland, und C. W. Scherer, A separation theorem for guaranteed $H_2$ performance through matrix inequalities, Automatica, 2018.
  - BibTeX
  - Link
  BibTeX
  @article{HaeWei18, author = {Haesaert, S. and Weiland, S. and Scherer, C. W.}, doi = {10.1016/j.automatica.2018.07.002}, journal = {Automatica}, pages = {306-313}, pdf-file = {http://www.mathematik.uni-stuttgart.de/fak8/imng peerReviewed /lehrstuhl/lehrstuhl_fuer_mathematische_systemtheorie/publikationen/papers/HaeWei18.pdf}, title = {{A} separation theorem for guaranteed ${H}_2$ performance through matrix inequalities}, url = {https://doi.org/10.1016/j.automatica.2018.07.002}, volume = 96, year = 2018 }
  Link
  https://doi.org/10.1016/j.automatica.2018.07.002
6. Y. Guo und C. W. Scherer, Robust Gain-Scheduled Controller Design with a Hierarchical Structure, in IFAC-PapersOnline, 2018.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{GuoSch18, author = {Guo, Y. and Scherer, C. W.}, booktitle = {{IFAC}-{P}apers{O}nline}, doi = {10.1016/j.ifacol.2018.11.110}, number = 25, pages = {228-233}, pdf-file = {http://www.mathematik.uni-stuttgart.de/fak8/imng peerReviewed /lehrstuhl/lehrstuhl_fuer_mathematische_systemtheorie/publikationen/papers/GuoSch18.pdf}, title = {{R}obust {G}ain-{S}cheduled {C}ontroller {D}esign with a {H}ierarchical {S}tructure}, url = {https://doi.org/10.1016/j.ifacol.2018.11.110}, volume = 51, year = 2018 }
  Link
  https://doi.org/10.1016/j.ifacol.2018.11.110
2017
1. C. A. Rösinger und C. W. Scherer, Structured Controller Design With Applications to Networked Systems, in Proc. 56th IEEE Conf. Decision and Control, 2017.
  Zusammenfassung
  We introduce a framework to synthesize block-diagonal H∞-controllers with a parametric and a block-triangular dynamic component by convex optimization. This is motivated by a recent H∞-design approach for systems with delayed interconnections that are structured according to a strongly-connected communication graph. Our framework allows the extension to synthesis for interconnections described by multiple strongly-connected graphs that are themselves coupled through a nested delay structure.
  BibTeX
  @inproceedings{RoeSch17, abstract = {We introduce a framework to synthesize block-diagonal H∞-controllers with a parametric and a block-triangular dynamic component by convex optimization. This is motivated by a recent H∞-design approach for systems with delayed interconnections that are structured according to a strongly-connected communication graph. Our framework allows the extension to synthesis for interconnections described by multiple strongly-connected graphs that are themselves coupled through a nested delay structure.}, author = {R\"{o}singer, C. A. and Scherer, C. W.}, booktitle = {Proc. 56th IEEE Conf. Decision and Control}, doi = {10.1109/CDC.2017.8264365}, pages = {4771-4776}, title = {{S}tructured {C}ontroller {D}esign {W}ith {A}pplications to {N}etworked {S}ystems}, url = {https://ieeexplore.ieee.org/document/8264365/?duplicates=no}, year = 2017 }
  Link
  https://ieeexplore.ieee.org/document/8264365/?duplicates=no
2. M. Fetzer, From classical absolute stability tests towards a comprehensive robustness analysis, Dissertation, University of Stuttgart, Stuttgart, 2017.
  - BibTeX
  - Link
  BibTeX
  @phdthesis{fetzer2017classical, author = {Fetzer, Matthias}, doi = {10.18419/opus-9726}, eventdate = {2017-11-23}, location = {Stuttgart}, pagetotal = {xii, 273}, school = {University of Stuttgart}, supervisor = {Scherer, Carsten W.}, supervisorgnd = {1071341561}, title = {From classical absolute stability tests towards a comprehensive robustness analysis}, type = {Dissertation}, url = {http://dx.doi.org/10.18419/opus-9726}, year = 2017 }
  Link
  http://dx.doi.org/10.18419/opus-9726
3. M. Fetzer, C. W. Scherer, und J. Veenman, Invariance with dynamic multipliers, IEEE Trans. Autom. Control, 2017.
  - BibTeX
  - Link
  BibTeX
  @article{FetSchVee17, author = {Fetzer, M. and Scherer, C. W. and Veenman, J.}, doi = {10.1109/TAC.2017.2762764}, eprint = {http://dx.doi.org/10.1137/140985482}, journal = {IEEE Trans. Autom. Control}, number = 7, owner = {mst}, pages = {1929 - 1942}, title = {{I}nvariance with dynamic multipliers}, url = {https://doi.org/10.1109/TAC.2017.2762764}, volume = 63, year = 2017 }
  Link
  https://doi.org/10.1109/TAC.2017.2762764
4. M. Fetzer und C. W. Scherer, Full-block multipliers for repeated, slope restricted scalar nonlinearities, Int. J. Robust Nonlin., 2017.
  - BibTeX
  - Link
  BibTeX
  @article{FetSch16, author = {Fetzer, M. and Scherer, C. W.}, doi = {10.1002/rnc.3751}, journal = {Int. J. Robust Nonlin.}, owner = {Matthias}, title = {Full-block multipliers for repeated, slope restricted scalar nonlinearities}, url = {http://onlinelibrary.wiley.com/doi/10.1002/rnc.3751/abstract}, year = 2017 }
  Link
  http://onlinelibrary.wiley.com/doi/10.1002/rnc.3751/abstract
5. M. Fetzer und C. W. Scherer, Absolute stability analysis of discrete time feedback interconnections, in IFAC-PapersOnline, 2017.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{FetSch17, author = {Fetzer, M. and Scherer, C. W.}, booktitle = {{IFAC}-{P}apers{O}nline}, doi = {10.1016/j.ifacol.2017.08.757}, number = 1, owner = {mst}, pages = {8447-8453}, title = {{A}bsolute stability analysis of discrete time feedback interconnections}, url = {https://doi.org/10.1016/j.ifacol.2017.08.757}, volume = 50, year = 2017 }
  Link
  https://doi.org/10.1016/j.ifacol.2017.08.757
6. M. Fetzer und C. W. Scherer, Zames-Falb Multipliers for Invariance, IEEE Control Syst. Lett., 2017.
  - BibTeX
  - Link
  BibTeX
  @article{FetSch17a, author = {Fetzer, M. and Scherer, C. W.}, doi = {10.1109/LCSYS.2017.2718556}, journal = {IEEE Control Syst. Lett.}, number = 2, owner = {mst}, pages = {412-417}, title = {{Z}ames-{F}alb {M}ultipliers for {I}nvariance}, url = {http://doi.org/10.1109/LCSYS.2017.2718556}, volume = 1, year = 2017 }
  Link
  http://doi.org/10.1109/LCSYS.2017.2718556
2016
1. J. Veenman, C. W. Scherer, und H. Köroglu, Robust stability and performance analysis with integral quadratic constraints, Eur. J. Control, 2016.
  - BibTeX
  - Link
  BibTeX
  @article{VeSch2015, author = {Veenman, Joost and Scherer, Carsten W. and K\"{o}ro\u{g}lu, H.}, doi = {10.1016/j.ejcon.2016.04.004}, journal = {Eur. J. Control}, owner = {mst04}, pages = {1-32}, title = {{R}obust stability and performance analysis with integral quadratic constraints}, url = {https://doi.org/10.1016/j.ejcon.2016.04.004}, volume = 31, year = 2016 }
  Link
  https://doi.org/10.1016/j.ejcon.2016.04.004
2. J. Veenman, M. Lahr, und C. W. Scherer, Robust controller synthesis with unstable weights, in 55th IEEE Conf. Decision and Control, 2016.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{VeLaSch16, author = {Veenman, Joost and Lahr, Martin and Scherer, Carsten W.}, booktitle = {55th IEEE Conf. Decision and Control}, doi = {10.1109/CDC.2016.7798620}, owner = {mst04}, pages = {2390-2395}, title = {{R}obust controller synthesis with unstable weights}, url = {https://doi.org/10.1109/CDC.2016.7798620}, year = 2016 }
  Link
  https://doi.org/10.1109/CDC.2016.7798620
3. E. J. Trottemant, C. W. Scherer, und M. Mazo, Optimality of robust disturbance-feedback strategies, Int. J. Robust Nonlin., 2016.
  - BibTeX
  - Link
  BibTeX
  @article{TrschMa15, author = {Trottemant, E. J. and Scherer, Carsten W. and Mazo, M.}, doi = {10.1002/rnc.3360}, groups = {distributed}, journal = {Int. J. Robust Nonlin.}, number = 7, owner = {mst04}, pages = {1475-1488}, title = {{O}ptimality of robust disturbance-feedback strategies}, url = {https://doi.org/10.1002/rnc.3360}, volume = 26, year = 2016 }
  Link
  https://doi.org/10.1002/rnc.3360
4. E. J. Trottemant, M. Mazo, und C. W. Scherer, Synthesis of Robust Piecewise Affine Output-Feedback Strategies, J. Guid. Control Dynam., 2016.
  - BibTeX
  - Link
  BibTeX
  @article{TroMaSch2016, author = {Trottemant, E. J. and Mazo, M. and Scherer, Carsten W.}, doi = {10.2514/1.G001343}, journal = {J. Guid. Control Dynam.}, number = 7, owner = {mst04}, pages = {1461-1469}, title = {{S}ynthesis of {R}obust {P}iecewise {A}ffine {O}utput-{F}eedback {S}trategies}, url = {https://doi.org/10.2514/1.G001343}, volume = 39, year = 2016 }
  Link
  https://doi.org/10.2514/1.G001343
5. C. W. Scherer, Lossless $H_ınfty$-synthesis for 2D systems (special issue JCW), Syst. Control Lett., 2016.
  - BibTeX
  - Link
  BibTeX
  @article{Sch2016, author = {Scherer, C. W.}, doi = {10.1016/j.sysconle.2016.02.011}, journal = {Syst. Control Lett.}, owner = {mst04}, pages = {25-35}, title = {{L}ossless ${H}_\infty$-synthesis for 2{D} systems (special issue {JCW})}, url = {https://doi.org/10.1016/j.sysconle.2016.02.011}, volume = 95, year = 2016 }
  Link
  https://doi.org/10.1016/j.sysconle.2016.02.011
6. H. Nguyen Tien, C. W. Scherer, J. M. A. Scherpen, und V. Müller, Linear Parameter Varying Control of Doubly Fed Induction Machines, IEEE Trans. Ind. Electron., 2016.
  - BibTeX
  - Link
  BibTeX
  @article{NguSch16, author = {Nguyen Tien, H. and Scherer, C. W. and Scherpen, J. M. A. and M\"uller, V.}, doi = {10.1109/TIE.2015.2465895}, journal = {IEEE Trans. Ind. Electron.}, number = 1, owner = {mst04}, pages = {216-224}, title = {{L}inear {P}arameter {V}arying {C}ontrol of {D}oubly {F}ed {I}nduction {M}achines}, url = {https://doi.org/10.1109/TIE.2015.2465895}, volume = 63, year = 2016 }
  Link
  https://doi.org/10.1109/TIE.2015.2465895
7. T. Holicki und C. W. Scherer, Controller Synthesis for Distributed Systems over Undirected Graphs, in 55th IEEE Conf. Decision and Control, 2016.
  Zusammenfassung
  We consider systems that consist of infinitely many identical subsystems over an infinite undirected graph. Stability analysis for such systems is performed and embedded into multiplier theory from robust control. This allows to apply recently developed gain-scheduling methods for dynamic multipliers in order to design stabilizing controllers and yields LMI conditions for their existence that are less conservative than existing ones.
  BibTeX
  @inproceedings{HolSch16, abstract = {We consider systems that consist of infinitely many identical subsystems over an infinite undirected graph. Stability analysis for such systems is performed and embedded into multiplier theory from robust control. This allows to apply recently developed gain-scheduling methods for dynamic multipliers in order to design stabilizing controllers and yields LMI conditions for their existence that are less conservative than existing ones.}, author = {Holicki, Tobias and Scherer, Carsten W.}, booktitle = {55th IEEE Conf. Decision and Control}, doi = {10.1109/CDC.2016.7799071}, pages = {5238-5244}, title = {Controller Synthesis for Distributed Systems over Undirected Graphs}, url = {https://doi.org/10.1109/CDC.2016.7799071}, year = 2016 }
  Link
  https://doi.org/10.1109/CDC.2016.7799071
8. M. Fetzer und C. W. Scherer, Stability and Performance Analysis on Sobolev Spaces, in 55th IEEE Conf. Decision and Control, 2016.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{FetSch16a, author = {Fetzer, M. and Scherer, C. W.}, booktitle = {55th IEEE Conf. Decision and Control}, doi = {10.1109/CDC.2016.7799390}, owner = {mst}, pages = {7264-7269}, title = {{S}tability and {P}erformance {A}nalysis on {S}obolev {S}paces}, url = {https://doi.org/10.1109/CDC.2016.7799390}, year = 2016 }
  Link
  https://doi.org/10.1109/CDC.2016.7799390
9. M. Fetzer und C. W. Scherer, A General Integral Quadratic Constraints Theorem with Applications to a Class of Sampled-Data Systems., SIAM J. Contr. Optim., 2016.
  - BibTeX
  BibTeX
  @article{FetSch16b, author = {Fetzer, M. and Scherer, C. W.}, doi = {10.1137/140985482}, eprint = {http://dx.doi.org/10.1137/140985482}, journal = {SIAM J. Contr. Optim.}, number = 3, owner = {mst}, pages = {1105-1125}, title = {A General Integral Quadratic Constraints Theorem with Applications to a Class of Sampled-Data Systems.}, volume = 54, year = 2016 }
10. L. Allerhand, E. Gershon., und U. Shaked, Robust state-feedback control of stochastic state-multiplicative discrete-time linear switched systems with dwell time, Int. J. Robust Nonlin., 2016.
  - BibTeX
  - Link
  BibTeX
  @article{AllGer15, author = {Allerhand, L. and Gershon., E. and Shaked, U.}, doi = {10.1002/rnc.3301}, groups = {distributed}, journal = {Int. J. Robust Nonlin.}, number = 2, owner = {mst04}, pages = {187-200}, title = {{R}obust state-feedback control of stochastic state-multiplicative discrete-time linear switched systems with dwell time}, url = {https://doi.org/10.1002/rnc.3301}, volume = 26, year = 2016 }
  Link
  https://doi.org/10.1002/rnc.3301
2015
1. J. Veenman, A general framework for robust analysis and control: an integral quadratic constraint based approach, Dissertation, Logos Verlag, Berlin, 2015.
  - BibTeX
  - Link
  BibTeX
  @phdthesis{Ve2015, author = {Veenman, J.}, groups = {distributed}, owner = {mst04}, publisher = {Logos Verlag, Berlin}, school = {University of Stuttgart}, title = {{A} general framework for robust analysis and control: an integral quadratic constraint based approach}, type = {Dissertation}, url = {http://www.logos-verlag.de/cgi-bin/engbuchmid?isbn=3963&lng=eng&id=}, year = 2015 }
  Link
  http://www.logos-verlag.de/cgi-bin/engbuchmid?isbn=3963&lng=eng&id=
2. C. W. Scherer, Gain-scheduling control with dynamic multipliers by convex optimization, SIAM J. Contr. Optim., 2015.
  - BibTeX
  - Link
  BibTeX
  @article{Sch2014a, author = {Scherer, Carsten W.}, doi = {10.1137/140985871}, file = {:C\:\\Users\\mst\\Publikationen Scherer\\Submitted.pdf:PDF}, journal = {SIAM J. Contr. Optim.}, number = 3, owner = {mst04}, pages = {1224-1249}, pdf-file = {http://www.mathematik.uni-stuttgart.de/fak8/imng peerReviewed /lehrstuhl/lehrstuhl_fuer_mathematische_systemtheorie/publikationen/papers/98587.pdf}, title = {Gain-scheduling control with dynamic multipliers by convex optimization}, url = {http://doi.org/10.1137/140985871}, volume = 53, year = 2015 }
  Link
  http://doi.org/10.1137/140985871
3. J. Missler, D. Schwarzmann, und L. I. Allerhand, On the Influence of Filter Choice in Output-Feedback MRAC during Adaptation Transients, in IFAC-PapersOnline, 2015.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{MiSchAl2015, author = {Missler, J. and Schwarzmann, D. and Allerhand, L. I.}, booktitle = {{IFAC}-{P}apers{O}nline}, doi = {10.1016/j.ifacol.2015.09.236}, number = 11, owner = {mst04}, pages = {505-510}, title = {{O}n the {I}nfluence of {F}ilter {C}hoice in {O}utput-{F}eedback {MRAC} during {A}daptation {T}ransients}, url = {https://doi.org/10.1016/j.ifacol.2015.09.236}, volume = 48, year = 2015 }
  Link
  https://doi.org/10.1016/j.ifacol.2015.09.236
4. H. Köroglu, C. W. Scherer, und P. Falcone, Robust Static Output Feedback Synthesis under an Integral Quadratic Constraint on the States, in Eur. Control Conf., 2015.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{KoScheFa2015, author = {K\"{o}ro\u{g}lu, H. and Scherer, Carsten W. and Falcone, Paolo}, booktitle = {Eur. Control Conf.}, doi = {10.1109/ECC.2015.7331027}, groups = {distributed}, owner = {mst04}, pages = {3203-3208}, title = {{R}obust {S}tatic {O}utput {F}eedback {S}ynthesis under an {I}ntegral {Q}uadratic {C}onstraint on the {S}tates}, url = {https://doi.org/10.1109/ECC.2015.7331027}, year = 2015 }
  Link
  https://doi.org/10.1109/ECC.2015.7331027
5. E. Gershon, U. Shaked, und L. I. Allerhand, Stochastic Linear Systems: Robust $H_ınfty$ Control via Vertex-dependent Approach, in 23rd Med. Conf. Control and Automation, 2015.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{GeShaAl2015, author = {Gershon, E. and Shaked, U. and Allerhand, L. I.}, booktitle = {23rd Med. Conf. Control and Automation}, doi = {10.1109/MED.2015.7158818}, owner = {mst04}, pages = {638-643}, title = {{S}tochastic {L}inear {S}ystems: {R}obust ${H}_\infty$ {C}ontrol via {V}ertex-dependent {A}pproach}, url = {https://doi.org/10.1109/MED.2015.7158818}, year = 2015 }
  Link
  https://doi.org/10.1109/MED.2015.7158818
6. L. I. Allerhand und U. Shaked, Soft Controller Switching with Guaranteed $H_ınfty$ Performance, in IFAC-PapersOnline, 2015.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{AlSha2015, author = {Allerhand, L. I. and Shaked, U.}, booktitle = {{IFAC}-{P}apers{O}nline}, doi = {10.1016/j.ifacol.2015.09.296}, file = {:C\:\\Users\\schaettg\\Documents\\mst\\micnon15_7r2.pdf:PDF}, number = 11, owner = {mst04}, pages = {848-853}, title = {{S}oft {C}ontroller {S}witching with {G}uaranteed ${H}_\infty$ {P}erformance}, url = {https://doi.org/10.1016/j.ifacol.2015.09.296}, volume = 48, year = 2015 }
  Link
  https://doi.org/10.1016/j.ifacol.2015.09.296
7. L. I. Allerhand, E. Gershon, und U. Shaked, State-feedback Control of Stochastic Discrete-time Linear Switched Systems with Dwell Time, in Eur. Control Conf., 2015.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{AlGeSha2015, author = {Allerhand, L. I. and Gershon, E. and Shaked, U.}, booktitle = {Eur. Control Conf.}, doi = {10.1109/ECC.2015.7330585}, owner = {mst04}, pages = {452-457}, title = {{S}tate-feedback {C}ontrol of {S}tochastic {D}iscrete-time {L}inear {S}witched {S}ystems with {D}well {T}ime}, url = {https://doi.org/10.1109/ECC.2015.7330585}, year = 2015 }
  Link
  https://doi.org/10.1109/ECC.2015.7330585
8. L. I. Allerhand, Stability of adaptive control in the presence of input disturbances and $H_ınfty$ performance, in IFAC-PapersOnline, 2015.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Al2015a, author = {Allerhand, L. I.}, booktitle = {{IFAC}-{P}apers{O}nline}, doi = {10.1016/j.ifacol.2015.09.437}, number = 14, owner = {mst04}, pages = {76-81}, title = {{S}tability of adaptive control in the presence of input disturbances and ${H}_\infty$ performance}, url = {https://doi.org/10.1016/j.ifacol.2015.09.437}, volume = 48, year = 2015 }
  Link
  https://doi.org/10.1016/j.ifacol.2015.09.437
2014
1. J. Veenman und C. W. Scherer, A synthesis framework for robust gain-scheduling controllers, Automatica, 2014.
  - BibTeX
  - Link
  BibTeX
  @article{VeeSch13b, author = {Veenman, Joost and Scherer, Carsten W.}, doi = {10.1016/j.automatica.2014.10.002}, file = {:C\:\\Users\\mst\\Publikationen Scherer\\AUTM13.pdf:PDF}, journal = {Automatica}, number = 11, owner = {mst04}, pages = {2799-2812}, title = {{A} synthesis framework for robust gain-scheduling controllers}, url = {https://doi.org/10.1016/j.automatica.2014.10.002}, volume = 50, year = 2014 }
  Link
  https://doi.org/10.1016/j.automatica.2014.10.002
2. J. Veenman und C. W. Scherer, IQC-synthesis with general dynamic multipliers, Int. J. Robust Nonlin., 2014.
  - BibTeX
  - Link
  BibTeX
  @article{VeeSch13, author = {Veenman, Joost and Scherer, Carsten W.}, doi = {10.1002/rnc.3042}, file = {VeeSch13.pdf:Scherer\\VeeSch13.pdf:PDF}, journal = {Int. J. Robust Nonlin.}, number = 17, owner = {carsten}, pages = {3027-3056}, title = {{IQC}-synthesis with general dynamic multipliers}, url = {https://doi.org/10.1002/rnc.3042}, volume = 24, year = 2014 }
  Link
  https://doi.org/10.1002/rnc.3042
3. C. W. Scherer, $H_ınfty$- and $H_2$-synthesis for nested interconnections: A direct state-space approach by linear matrix inequalities, in 21st Int. Symp. Math. Theory Netw. and Systems, 2014.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Sch2014, author = {Scherer, Carsten W.}, booktitle = {21st Int. Symp. Math. Theory Netw. and Systems}, file = {:C\:\\Users\\mst\\Publikationen Scherer\\Scherer_2014.pdf:PDF}, owner = {mst04}, pdf-file = {http://fwn06.housing.rug.nl/mtns2014-papers/fullPapers/0141.pdf}, title = {${H}_\infty$- and ${H}_2$-synthesis for nested interconnections: {A} direct state-space approach by linear matrix inequalities}, url = {http://fwn06.housing.rug.nl/mtns2014-papers/fullPapers/0141.pdf}, year = 2014 }
  Link
  http://fwn06.housing.rug.nl/mtns2014-papers/fullPapers/0141.pdf
2013
1. J. Veenman und C. W. Scherer, Stability analysis with integral Quadratic constraints: A dissipativity based proof, in 52nd IEEE Conf. Decision and Control, 2013.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{VeeSch13a, author = {Veenman, Jost and Scherer, Carsten W.}, booktitle = {52nd IEEE Conf. Decision and Control}, doi = {10.1109/CDC.2013.6760464}, owner = {mst04}, pages = {3770-3775}, title = {{S}tability analysis with integral {Q}uadratic constraints: {A} dissipativity based proof}, url = {https://doi.org/10.1109/CDC.2013.6760464}, year = 2013 }
  Link
  https://doi.org/10.1109/CDC.2013.6760464
2. C. W. Scherer, Gain-scheduled synthesis with dynamic stable strictly positive real multipliers: A complete solution, in Eur. Control Conf., 2013.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Sch13, author = {Scherer, Carsten W.}, booktitle = {Eur. Control Conf.}, doi = {10.23919/ECC.2013.6669184}, file = {Sch13.pdf:Scherer\\Sch13.pdf:PDF}, owner = {carsten}, pages = {3901-3906}, title = {{G}ain-scheduled synthesis with dynamic stable strictly positive real multipliers: {A} complete solution}, url = {https://doi.org/10.23919/ECC.2013.6669184}, year = 2013 }
  Link
  https://doi.org/10.23919/ECC.2013.6669184
3. C. W. Scherer und I. E. Köse, From transfer matrices to realizations: Convergence properties and parametrization of robustness analysis conditions, Syst. Control Lett., 2013.
  - BibTeX
  - Link
  BibTeX
  @article{SchKos13, author = {Scherer, C. W. and K\"{o}se, I. Emre}, doi = {10.1016/j.sysconle.2013.04.001}, endnotereftype = {Conference Proceedings}, file = {SchKos13.pdf:Scherer\\SchKos13.pdf:PDF;SchKos11.pdf:Scherer\\SchKos11.pdf:PDF}, groups = {distributed}, journal = {Syst. Control Lett.}, number = 8, pages = {632-642}, shorttitle = {On Convergence of Transfer Matrices and their Realizations}, title = {{F}rom transfer matrices to realizations: {C}onvergence properties and parametrization of robustness analysis conditions}, url = {https://doi.org/10.1016/j.sysconle.2013.04.001}, volume = 62, year = 2013 }
  Link
  https://doi.org/10.1016/j.sysconle.2013.04.001
4. C. W. Scherer, Gain-scheduled synthesis with dynamic generalized strictly positive real multipliers: A complete solution, in 52nd IEEE Conf. Decision and Control, 2013.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Sch13b, author = {Scherer, C. W.}, booktitle = {52nd IEEE Conf. Decision and Control}, doi = {10.1109/CDC.2013.6760520}, owner = {mst04}, pages = {4116-4121}, title = {{G}ain-scheduled synthesis with dynamic generalized strictly positive real multipliers: {A} complete solution}, url = {https://doi.org/10.1109/CDC.2013.6760520}, year = 2013 }
  Link
  https://doi.org/10.1109/CDC.2013.6760520
5. C. W. Scherer, Structured $H_ınfty$-Optimal Control for Nested Interconnections: A State-Space Solution, Syst. Control Lett., 2013.
  - BibTeX
  - Link
  BibTeX
  @article{Sch13a, author = {Scherer, C. W.}, doi = {10.1016/j.sysconle.2013.09.001}, file = {Sch13a.pdf:Sch13a.pdf:PDF}, journal = {Syst. Control Lett.}, number = 12, owner = {carsten}, pages = {1105-1113}, title = {{S}tructured ${H}_\infty$-{O}ptimal {C}ontrol for {N}ested {I}nterconnections: {A} {S}tate-{S}pace {S}olution}, url = {https://doi.org/10.1016/j.sysconle.2013.09.001}, volume = 62, year = 2013 }
  Link
  https://doi.org/10.1016/j.sysconle.2013.09.001
6. J. Chaudenson u. a., Stability analysis of pulse-modulated systems with an application to space launchers, IFAC Proc. Vol., 2013.
  - BibTeX
  - Link
  BibTeX
  @article{ChaFet13, author = {Chaudenson, J. and Fetzer, M. and Scherer, Carsten W. and Beauvois, D. and Sandou, G. and Bennani, S. and Ganet-Shoeller, M.}, doi = {10.3182/20130902-5-DE-2040.00082}, journal = {IFAC Proc. Vol.}, number = 19, owner = {mst04}, pages = {494-499}, title = {{S}tability analysis of pulse-modulated systems with an application to space launchers}, url = {https://doi.org/10.3182/20130902-5-DE-2040.00082}, volume = 46, year = 2013 }
  Link
  https://doi.org/10.3182/20130902-5-DE-2040.00082
2012
1. J. Veenman, C. W. Scherer, und I. Köse, Robust Estimation with Partial Gain-Scheduling Through Convex Optimization, in Control of Linear Parameter Varying Systems with Applications, J. Mohammadpour und C. W. Scherer, Hrsg. Springer, 2012.
  - BibTeX
  - Link
  BibTeX
  @incollection{VeeSchKoe12, author = {Veenman, J. and Scherer, Carsten W. and K\"ose, I.}, booktitle = {Control of Linear Parameter Varying Systems with Applications}, editor = {Mohammadpour, J. and Scherer, Carsten W.}, owner = {mst04}, pages = {253-278}, publisher = {Springer}, title = {{R}obust {E}stimation with {P}artial {G}ain-{S}cheduling {T}hrough {C}onvex {O}ptimization}, url = {https://doi.org/10.1007/978-1-4614-1833-7_10}, year = 2012 }
  Link
  https://doi.org/10.1007/978-1-4614-1833-7_10
2. J. Veenman und C. W. Scherer, Robust Gain-scheduled Controller Synthesis is Convex for Systems without Control Channel Uncertainties, in 51st IEEE Conf. Decision and Control, Hawaii, USA, 2012.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{VeeSch12, address = {Hawaii, USA}, author = {Veenman, J. and Scherer, C. W.}, booktitle = {51st IEEE Conf. Decision and Control}, endnotereftype = {Conference Proceedings}, pages = {1524-1529}, shorttitle = {Robust gain-scheduled controller synthesis is convex for systems without control channel uncertainties}, title = {{R}obust {G}ain-scheduled {C}ontroller {S}ynthesis is {C}onvex for {S}ystems without {C}ontrol {C}hannel {U}ncertainties}, url = {https://doi.org/10.1109/CDC.2012.6426978}, year = 2012 }
  Link
  https://doi.org/10.1109/CDC.2012.6426978
3. C. W. Scherer und J. Veenman, Robust Controller Synthesis is Convex for Systems without Control Channel Uncertainties, in 7th IFAC Symposium on Robust Control Design, Aalborg, DK, 2012.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{SchVee12, address = {Aalborg, DK}, author = {Scherer, C. W. and Veenman, J.}, booktitle = {7th IFAC Symposium on Robust Control Design}, number = 13, owner = {mst04}, pages = 2012, publisher = {IFAC Proceedings Volumes}, title = {{R}obust {C}ontroller {S}ynthesis is {C}onvex for {S}ystems without {C}ontrol {C}hannel {U}ncertainties}, url = {https://doi.org/10.3182/20120620-3-DK-2025.00110}, volume = 45, year = 2012 }
  Link
  https://doi.org/10.3182/20120620-3-DK-2025.00110
4. C. W. Scherer und I. E. Köse, Gain-scheduled control synthesis using dynamic $D$-scales, IEEE T. Automat. Contr., 2012.
  - BibTeX
  - Link
  BibTeX
  @article{SchKos12, author = {Scherer, C. W. and K\"ose, I. E}, endnotereftype = {Journal Article}, file = {SchKos12.pdf:Scherer\\SchKos12.pdf:PDF;SchKos12.pdf:Scherer\\SchKos12.pdf:PDF}, groups = {distributed}, journal = {IEEE T. Automat. Contr.}, month = {09}, number = 9, pages = {2219 - 2234}, shorttitle = {Gain-Scheduled Control Synthesis using Dynamic ${D}$-Scales}, title = {{G}ain-scheduled control synthesis using dynamic ${D}$-scales}, url = {https://doi.org/10.1109/TAC.2012.2184609}, volume = 57, year = 2012 }
  Link
  https://doi.org/10.1109/TAC.2012.2184609
5. C. W. Scherer, Gain-scheduled synthesis with dynamic positive real multipliers, in 51st IEEE Conf. Decision and Control, Hawaii, USA, 2012.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Sch12, address = {Hawaii, USA}, author = {Scherer, C. W.}, booktitle = {51st IEEE Conf. Decision and Control}, endnotereftype = {Conference Proceedings}, file = {Sch12Allerton.pdf:Scherer/Sch12Allerton.pdf:PDF}, pages = {6641-6646}, shorttitle = {Gain-scheduled synthesis with dynamic positive real multipliers}, title = {{G}ain-scheduled synthesis with dynamic positive real multipliers}, url = {https://doi.org/10.1109/CDC.2012.6426796}, year = 2012 }
  Link
  https://doi.org/10.1109/CDC.2012.6426796
6. C. W. Scherer, Distributed control with dynamic dissipation constraints, in 50th Annual Allertin Conference on Communication, Control, and Computing, Monticello, Illinois, 2012.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Sch12a, address = {Monticello, Illinois}, author = {Scherer, C. W.}, booktitle = {50th Annual Allertin Conference on Communication, Control, and Computing}, comment = {2012}, endnotereftype = {Conference Proceedings}, groups = {distributed}, pages = {55-62}, privnote = 2012, shorttitle = {Distributed control with dynamic dissipation constraints}, title = {{D}istributed control with dynamic dissipation constraints}, url = {https://doi.org/10.1109/Allerton.2012.6483199}, year = 2012 }
  Link
  https://doi.org/10.1109/Allerton.2012.6483199
7. I. Polat und C. W. Scherer, Stability Analysis for Bilateral Teleoperation: An IQC Formulation, IEEE T. Robot., 2012.
  - BibTeX
  - Link
  BibTeX
  @article{PolSch12, author = {Polat, I. and Scherer, Carsten W.}, journal = {IEEE T. Robot.}, month = {12}, number = 6, owner = {mst04}, pages = {1294-1308}, title = {{S}tability {A}nalysis for {B}ilateral {T}eleoperation: {A}n {IQC} {F}ormulation}, url = {https://doi.org/10.1109/TRO.2012.2209230}, volume = 28, year = 2012 }
  Link
  https://doi.org/10.1109/TRO.2012.2209230
8. J. Mohammadpour und C. W. Scherer, Control of Linear Parameter Varying Systems with Applications. Springer-Verlag, 2012.
  - BibTeX
  - Link
  BibTeX
  @book{MS2012, author = {Mohammadpour, J. and Scherer, Carsten W.}, owner = {mst04}, publisher = {Springer-Verlag}, title = {{C}ontrol of {L}inear {P}arameter {V}arying {S}ystems with {A}pplications}, url = {http://www.springer.com/us/book/9781461418320}, year = 2012 }
  Link
  http://www.springer.com/us/book/9781461418320
9. J. Chaudenson u. a., PMW Modeling for Attitude Control of a Launcher During Ballistic Phase and Comparative Stability Analysis, in 7th IFAC Symposium on Robust Control Design, Aalborg, Denmark, 2012.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{ChaBea12, address = {Aalborg, Denmark}, author = {Chaudenson, J. and Beauvois, D. and Bennani, S. and Ganet-Shoeller, M. and Sandou, G. and Scherer, C. W. and Frechin, C.}, booktitle = {7th IFAC Symposium on Robust Control Design}, number = 13, owner = {mst04}, pages = {248-253}, publisher = {IFAC Proceedings Volumes}, title = {{PMW} {M}odeling for {A}ttitude {C}ontrol of a {L}auncher {D}uring {B}allistic {P}hase and {C}omparative {S}tability {A}nalysis}, url = {https://doi.org/10.3182/20120620-3-DK-2025.00109}, volume = 45, year = 2012 }
  Link
  https://doi.org/10.3182/20120620-3-DK-2025.00109
10. H. M. N. K. Balini, C. W. Scherer, und J. Witte, Synthesis and implementation of gain-scheduling and LPV controllers for an AMB system, Automatica, 2012.
  - BibTeX
  - Link
  BibTeX
  @article{BalSch12, author = {Balini, H. M. N. K. and Scherer, Carsten W. and Witte, J.}, journal = {Automatica}, owner = {mst04}, pages = {521-527}, title = {{S}ynthesis and implementation of gain-scheduling and {LPV} controllers for an {AMB} system}, url = {https://doi.org/10.1016/j.automatica.2011.08.061}, volume = 48, year = 2012 }
  Link
  https://doi.org/10.1016/j.automatica.2011.08.061
2011
1. J. Veenman und C. W. Scherer, IQC-Synthesis with General Dynamic Multipliers, in 18th IFAC World Congress, Milano, Italy, 2011.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{VeeSch11, address = {Milano, Italy}, author = {Veenman, J. and Scherer, C. W.}, booktitle = {18th IFAC World Congress}, owner = {mst04}, pages = {4600-4605}, title = {{IQC}-{S}ynthesis with {G}eneral {D}ynamic {M}ultipliers}, url = {https://doi.org/10.3182/20110828-6-IT-1002.00776}, volume = 18, year = 2011 }
  Link
  https://doi.org/10.3182/20110828-6-IT-1002.00776
2. J. Veenman und C. W. Scherer, Robust Gain-Scheduled Estimation: A Convex Solution, in 50th IEEE Conf. Decision and Control, Orlando, FL, USA, 2011.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{VeeScha, address = {Orlando, FL, USA}, author = {Veenman, J. and Scherer, C. W.}, booktitle = {50th IEEE Conf. Decision and Control}, owner = {mst04}, pages = {1347-1352}, title = {{R}obust {G}ain-{S}cheduled {E}stimation: {A} {C}onvex {S}olution}, url = {https://doi.org/10.1109/CDC.2011.6160420}, year = 2011 }
  Link
  https://doi.org/10.1109/CDC.2011.6160420
3. C. W. Scherer und I. E. Köse, On Convergence of Transfer Matrices and their Realizations, in 18th IFAC World Congress, Milano, Italy, 2011.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{SchKos11, address = {Milano, Italy}, author = {Scherer, C. W. and K\"{o}se, I. Emre}, booktitle = {18th IFAC World Congress}, endnotereftype = {Conference Proceedings}, file = {SchKos11.pdf:Scherer\\SchKos11.pdf:PDF;SchKos11.pdf:Scherer\\SchKos11.pdf:PDF}, groups = {distributed}, owner = {carsten}, pages = {3348-3353}, shorttitle = {On Convergence of Transfer Matrices and their Realizations}, title = {{O}n {C}onvergence of {T}ransfer {M}atrices and their {R}ealizations}, url = {https://doi.org/10.3182/20110828-6-IT-1002.03449}, year = 2011 }
  Link
  https://doi.org/10.3182/20110828-6-IT-1002.03449
4. H. Köroglu und C. W. Scherer, Scheduled control for robust attenuation of non-stationary sinusodial disturbances with measurable frequencies, Automatica, 2011.
  - BibTeX
  - Link
  BibTeX
  @article{KorSch11, author = {K\"{o}ro\u{g}lu, H. and Scherer, C. W.}, journal = {Automatica}, owner = {mst04}, pages = {504-514}, title = {{S}cheduled control for robust attenuation of non-stationary sinusodial disturbances with measurable frequencies}, url = {https://doi.org/10.1016/j.automatica.2011.01.017}, volume = 47, year = 2011 }
  Link
  https://doi.org/10.1016/j.automatica.2011.01.017
5. C. W. J. Hol u. a., Optimal Feedforward Filter Design for Flying Gauge Changes of a Continuous Cold Mill, in 18th IFAC World Congress, Milano, Italy, 2011.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{HolSuj11, address = {Milano, Italy}, author = {Hol, C. W. J. and Sujoto, S. and de Boer, M. and Beentjes, V. and Prince, M. and Scherer, C. W. and van der Weiden, A.J.}, booktitle = {18th IFAC World Congress}, owner = {mst04}, pages = {8545 - 8551}, title = {{O}ptimal {F}eedforward {F}ilter {D}esign for {F}lying {G}auge {C}hanges of a {C}ontinuous {C}old {M}ill}, url = {https://doi.org/10.3182/20110828-6-IT-1002.00393}, year = 2011 }
  Link
  https://doi.org/10.3182/20110828-6-IT-1002.00393
6. H. M. N. K. Balini, C. W. Scherer, und J. Witte, Performance Enhancement for AMB Systems Using Unstable $H_ınfty$ Controllers, IEEE T. Contr. Syst. T., 2011.
  - BibTeX
  - Link
  BibTeX
  @article{BalSch11, author = {Balini, H. M. N. K. and Scherer, C. W. and Witte, J.}, journal = {IEEE T. Contr. Syst. T.}, owner = {mst04}, pages = {1479-1492}, title = {{P}erformance {E}nhancement for {AMB} {S}ystems {U}sing {U}nstable ${H}_\infty$ {C}ontrollers}, url = {https://doi.org/10.1109/TCST.2010.2097264}, volume = 19, year = 2011 }
  Link
  https://doi.org/10.1109/TCST.2010.2097264
2010
1. J. Witte, H. M. N. K. Balini, und C. W. Scherer, Experimental results with stable and unstable LPV controllers for an Active Magnetic Bearing System, in IEEE Multi-Conference on Control, Japan, 2010.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{WitBal10a, address = {Japan}, author = {Witte, J. and Balini, H. M. N. K. and Scherer, C. W.}, booktitle = {IEEE Multi-Conference on Control}, owner = {mst04}, pages = {950-955}, title = {{E}xperimental results with stable and unstable {LPV} controllers for an {A}ctive {M}agnetic {B}earing {S}ystem}, url = {https://doi.org/10.1109/CCA.2010.5611087}, year = 2010 }
  Link
  https://doi.org/10.1109/CCA.2010.5611087
2. J. Witte, H. M. N. K. Balini, und C. W. Scherer, Robust and LPV control of an AMB system, in Proc. American Control Conf., Baltimore, MD, USA, 2010.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{WitBal10, address = {Baltimore, MD, USA}, author = {Witte, J. and Balini, H. M. N. K. and Scherer, C. W.}, booktitle = {Proc. American Control Conf.}, owner = {mst04}, pages = {2194-2199}, title = {{R}obust and {LPV} control of an {AMB} system}, url = {https://doi.org/10.1109/ACC.2010.5531273}, year = 2010 }
  Link
  https://doi.org/10.1109/ACC.2010.5531273
3. J. Veenman und C. W. Scherer, On Robust LPV Controller Synthesis: A Dynamic Integral Quadratic Constraint based Approach, in 49th IEEE Conf. Decision and Control, Atlanta, USA, 2010.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{VeeSch10, address = {Atlanta, USA}, author = {Veenman, J. and Scherer, C. W.}, booktitle = {49th IEEE Conf. Decision and Control}, owner = {mst04}, pages = {591 - 596}, title = {{O}n {R}obust {LPV} {C}ontroller {S}ynthesis: {A} {D}ynamic {I}ntegral {Q}uadratic {C}onstraint based {A}pproach}, url = {https://doi.org/10.1109/CDC.2010.5717992}, year = 2010 }
  Link
  https://doi.org/10.1109/CDC.2010.5717992
4. E. J. Trottemant, C. W. Scherer, M. Weiss, und A. Vermeulen, Robust Missile Feedback Control Strategies, J. Guid. Control Dynam., 2010.
  Zusammenfassung
  The nature of the missile interception problem with two noncooperative players leads to the field of differential games Introducing nonlinear uncertain models can potentially lead to nonexistence of game theoretic equilibrium strategies, computationally intractable problems, and/or highly reduced performance of the strategies The objective is therefore to obtain robust strategies that provide an upper bound on the performance of the nonlinear system against all allowable disturbances and model uncertainties Robust programming and more specific robust linear matrix inequality techniques have proved to be an extremely effective tool to design such robust control strategies This paper extends the existing robust disturbance feedback framework such that it can effectively deal with a large class of model mismatches and uncertainties such as target maneuvers and nonlinearities The implementation of these strategies in a receding horizon fashion on missile intercept problems leads to very satisfactory results when compared to traditional guidance laws
  BibTeX
  @article{TroSch10, abstract = {The nature of the missile interception problem with two noncooperative players leads to the field of differential games Introducing nonlinear uncertain models can potentially lead to nonexistence of game theoretic equilibrium strategies, computationally intractable problems, and/or highly reduced performance of the strategies The objective is therefore to obtain robust strategies that provide an upper bound on the performance of the nonlinear system against all allowable disturbances and model uncertainties Robust programming and more specific robust linear matrix inequality techniques have proved to be an extremely effective tool to design such robust control strategies This paper extends the existing robust disturbance feedback framework such that it can effectively deal with a large class of model mismatches and uncertainties such as target maneuvers and nonlinearities The implementation of these strategies in a receding horizon fashion on missile intercept problems leads to very satisfactory results when compared to traditional guidance laws}, author = {Trottemant, E. J. and Scherer, C. W. and Weiss, M. and Vermeulen, A.}, endnotereftype = {Journal Article}, file = {<Go to ISI>://000284563600014}, issn = {0731-5090}, journal = {J. Guid. Control Dynam.}, month = {11}, number = 6, pages = {1837-1846}, shorttitle = {Robust Missile Feedback Control Strategies}, title = {{R}obust {M}issile {F}eedback {C}ontrol {S}trategies}, url = {https://doi.org/10.2514/1.48844}, volume = 33, year = 2010 }
  Link
  https://doi.org/10.2514/1.48844
5. C. W. Scherer und S. Weiland, Linear Matrix Inequalities in Control, in The Control Systems Handbook, Second Edition, W. S. Levine, Hrsg. CRC Press, 2010.
  - BibTeX
  - Link
  BibTeX
  @incollection{SchWei10, author = {Scherer, C. W. and Weiland, S.}, booktitle = {The Control Systems Handbook, Second Edition}, chapter = {Chapter 24}, editor = {Levine, W. S.}, owner = {mst04}, pages = {1-30}, publisher = {CRC Press}, title = {{L}inear {M}atrix {I}nequalities in {C}ontrol}, url = {https://www.taylorfrancis.com/books/e/9781420073652/chapters/10.1201%2Fb10384-61}, year = 2010 }
  Link
  https://www.taylorfrancis.com/books/e/9781420073652/chapters/10.1201%2Fb10384-61
6. C. W. Scherer und I. E. Köse, Gain-Scheduled Control Synthesis using Dynamic $D$-Scales, in 49th IEEE Conf. Decision and Control, Altanta, GA, 2010.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{SchKos10, address = {Altanta, GA}, author = {Scherer, C. W. and K\"ose, I. E}, booktitle = {49th IEEE Conf. Decision and Control}, endnotereftype = {Conference Proceedings}, file = {SchKos10.pdf:Scherer\\SchKos10.pdf:PDF;SchKos10.pdf:Scherer\\SchKos10.pdf:PDF}, pages = {6845-6850}, shorttitle = {Gain-Scheduled Control Synthesis using Dynamic ${D}$-Scales}, title = {{G}ain-{S}cheduled {C}ontrol {S}ynthesis using {D}ynamic ${D}$-{S}cales}, url = {https://doi.org/10.1109/CDC.2010.5717880}, year = 2010 }
  Link
  https://doi.org/10.1109/CDC.2010.5717880
7. A. Marcos u. a., Application of LPV Modeling, Design and Analysis Methods to Re-entry Vehicle, in Proc. AIAA Guidance, Navigation and Control Conf., Toronto, Canada, 2010.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{MarVee10, address = {Toronto, Canada}, author = {Marcos, A. and Veenman, J. and Scherer, C. W. and Zaiacomo, G. De and Mostaza, D. and Kerr, M. and K\"{o}ro/u{g}lu, H. and Bennani, S.}, booktitle = {Proc. AIAA Guidance, Navigation and Control Conf.}, month = {08}, owner = {mst04}, title = {{A}pplication of {LPV} {M}odeling, {D}esign and {A}nalysis {M}ethods to {R}e-entry {V}ehicle}, url = {https://doi.org/10.2514/6.2010-8192}, year = 2010 }
  Link
  https://doi.org/10.2514/6.2010-8192
8. H. Köroglu und C. W. Scherer, Robust generalized asymptotic regulation against non-stationary sinusodial disturbances with uncertain frequencies, Int. J. Robust Nonlin., 2010.
  - BibTeX
  - Link
  BibTeX
  @article{KorSch10, author = {K\"{o}ro\u{g}lu, H. and Scherer, C. W.}, journal = {Int. J. Robust Nonlin.}, owner = {mst04}, pages = {883 - 903}, title = {{R}obust generalized asymptotic regulation against non-stationary sinusodial disturbances with uncertain frequencies}, url = {https://doi.org/10.1002/rnc.1634}, volume = 21, year = 2010 }
  Link
  https://doi.org/10.1002/rnc.1634
9. P. Estevez u. a., A Haptic Tele-operated System for Microassembly, in in: Ratchev S. (eds) Precision Assembly Technologies and Systems. IPAS 2010. IFIP Advances in Information and Communication Technology, vol. 315 Springer, 2010.
  Zusammenfassung
  A tele-haptic system for microassembly applications is currently being developed at the Delft University of Technology, with the goal of achieving superior performance by providing enhanced feedback to the human operator. Assembly of a micro-harmonic drive is used as a benchmark to fully evaluate the proposed tele-haptic system by investigating the control strategies and the individual subsystems: master device, microgrippers and slave system. The master device will be comprised of a parallel robot with a built-in gripper. The slave system and end effector are focused on providing efficient and effective force feedback of the interactions on the microenvironment to the human operator, in addition to detecting position and orientation of the object being grasped. Novel control strategies are also investigated to allow the transmission of high frequency transients to the operator, carrying information from hard contact interactions between the microgripper and the part to be assembled.
  BibTeX
  @inproceedings{Est2010, abstract = {A tele-haptic system for microassembly applications is currently being developed at the Delft University of Technology, with the goal of achieving superior performance by providing enhanced feedback to the human operator. Assembly of a micro-harmonic drive is used as a benchmark to fully evaluate the proposed tele-haptic system by investigating the control strategies and the individual subsystems: master device, microgrippers and slave system. The master device will be comprised of a parallel robot with a built-in gripper. The slave system and end effector are focused on providing efficient and effective force feedback of the interactions on the microenvironment to the human operator, in addition to detecting position and orientation of the object being grasped. Novel control strategies are also investigated to allow the transmission of high frequency transients to the operator, carrying information from hard contact interactions between the microgripper and the part to be assembled.}, author = {Estevez, P. and Khan, S. and Lambert, P. and PortaI, M. and Polat, I. and Scherer, C. and Ticheman, M. and Staufer, U. and Langen, H. H. and Schmidt, R. Munnig}, booktitle = {in: Ratchev S. (eds) Precision Assembly Technologies and Systems. IPAS 2010. IFIP Advances in Information and Communication Technology, vol. 315 Springer}, owner = {mst04}, pages = {13-20}, title = {{A} {H}aptic {T}ele-operated {S}ystem for {M}icroassembly}, url = {https://link.springer.com/chapter/10.1007/978-3-642-11598-1_2}, volume = 315, year = 2010 }
  Link
  https://link.springer.com/chapter/10.1007/978-3-642-11598-1_2
10. S. G. Dietz und C. W. Scherer, Robust output feedback control against disturbance filter uncertainty described by dynamic integral quadratic constraints, Int. J. Robust Nonlin., 2010.
  Zusammenfassung
  Motivated by a robust disturbance rejection problem, in which disturbances are described by an uncertain filter at the plant input, a convex solution is presented for the robust output feedback controller synthesis problem for a particularly structured plant. The uncertainties are characterized by an integral quadratic constraint (IQC) with general frequency-dependent multipliers. By exploiting the structure of the generalized plant, linear matrix inequality (LMI)-synthesis conditions are derived in order to guarantee a specified L(2)-gain or H(2)-norm performance level, provided that the IQC multipliers are described by LMI constraints. Moreover, it is shown that part of the controller variables can be eliminated. Finally, the rejection of non-stationary sinusoidal disturbance signals is considered. In a numerical example, it is shown that specifying a bound on the rate-of-variation of the time-varying frequency can improve the performance if compared with the static IQC multipliers. Copyright (C) 2009 John Wiley & Sons, Ltd.
  BibTeX
  @article{DieSch10, abstract = {Motivated by a robust disturbance rejection problem, in which disturbances are described by an uncertain filter at the plant input, a convex solution is presented for the robust output feedback controller synthesis problem for a particularly structured plant. The uncertainties are characterized by an integral quadratic constraint (IQC) with general frequency-dependent multipliers. By exploiting the structure of the generalized plant, linear matrix inequality (LMI)-synthesis conditions are derived in order to guarantee a specified L(2)-gain or H(2)-norm performance level, provided that the IQC multipliers are described by LMI constraints. Moreover, it is shown that part of the controller variables can be eliminated. Finally, the rejection of non-stationary sinusoidal disturbance signals is considered. In a numerical example, it is shown that specifying a bound on the rate-of-variation of the time-varying frequency can improve the performance if compared with the static IQC multipliers. Copyright (C) 2009 John Wiley & Sons, Ltd.}, author = {Dietz, S. G. and Scherer, C. W.}, endnotereftype = {Journal Article}, file = {<Go to ISI>://000284215900001:Djvu}, issn = {1049-8923}, journal = {Int. J. Robust Nonlin.}, month = {11}, number = 17, pages = {1903-1919}, shorttitle = {Robust output feedback control against disturbance filter uncertainty described by dynamic integral quadratic constraints}, title = {{R}obust output feedback control against disturbance filter uncertainty described by dynamic integral quadratic constraints}, url = {https://doi.org/10.1002/rnc.1554}, volume = 20, year = 2010 }
  Link
  https://doi.org/10.1002/rnc.1554
11. H. M. N. K. Balini, J. Witte, C. W. Scherer, und S. G. Dietz, Active magnetic bearings: Robust performance against uncertainty in rotational speed, in 5th IFAC Symposium on Mechatrinic Systems, Cambridge, USA, 2010.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{BalWit10a, address = {Cambridge, USA}, author = {Balini, H. M. N. K. and Witte, J. and Scherer, C. W. and Dietz, S. G.}, booktitle = {5th IFAC Symposium on Mechatrinic Systems}, owner = {mst04}, pages = {355-360}, title = {{A}ctive magnetic bearings: {R}obust performance against uncertainty in rotational speed}, url = {https://doi.org/10.3182/20100913-3-US-2015.00059}, year = 2010 }
  Link
  https://doi.org/10.3182/20100913-3-US-2015.00059
12. H. M. N. K. Balini, J. Witte, und C. W. Scherer, Advanced Control for Active Magnetic Bearing Systems, in 10th Int. Conf. of the Eur. Society for Precision Engineering and Nanotechnology, Delft, 2010.
  - BibTeX
  BibTeX
  @inproceedings{BalWit10, address = {Delft}, author = {Balini, H. M. N. K. and Witte, J. and Scherer, C. W.}, booktitle = {10th Int. Conf. of the Eur. Society for Precision Engineering and Nanotechnology}, owner = {mst04}, pages = {344-347}, title = {{A}dvanced {C}ontrol for {A}ctive {M}agnetic {B}earing {S}ystems}, year = 2010 }
13. H. M. N. K. Balini, I. Houtzager, J. Witte, und C. W. Scherer, Subspace identification and robust control of an AMB system, in Proc. American Control Conf., Baltimore, MD, USA, 2010.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{BalHou10, address = {Baltimore, MD, USA}, author = {Balini, H. M. N. K. and Houtzager, I. and Witte, J. and Scherer, C. W.}, booktitle = {Proc. American Control Conf.}, owner = {mst04}, pages = {2200 - 2205}, title = {{S}ubspace identification and robust control of an {AMB} system}, url = {https://doi.org/10.1109/ACC.2010.5531268}, year = 2010 }
  Link
  https://doi.org/10.1109/ACC.2010.5531268
2009
1. P. Viccione, C. W. Scherer, und M. Innocenti, LPV Synthesis with Integral Quadratic Constraints for Distributed Control of Interconnected Systems, in 6th IFAC Symposium on Robust Control Design, Haifa, 2009.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{VicSch09, address = {Haifa}, author = {Viccione, P. and Scherer, C. W. and Innocenti, M.}, booktitle = {6th IFAC Symposium on Robust Control Design}, endnotereftype = {Conference Proceedings}, shorttitle = {{LPV} Synthesis with Integral Quadratic Constraints for Distributed Control of Interconnected Systems}, title = {{LPV} {S}ynthesis with {I}ntegral {Q}uadratic {C}onstraints for {D}istributed {C}ontrol of {I}nterconnected {S}ystems}, url = {https://doi.org/10.3182/20090616-3-IL-2002.00003}, year = 2009 }
  Link
  https://doi.org/10.3182/20090616-3-IL-2002.00003
2. J. Veenman, H. Köroglu, und C. W. Scherer, Analysis of the controlled NASA HL20 atmospheric re-entry vehicle based on Dynamic IQCs, in Proc. AIAA Guidance, Navigation and Control Conf., 2009.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{VeeKor09a, author = {Veenman, J. and K\"{o}ro\u{g}lu, H. and Scherer, C. W.}, booktitle = {Proc. AIAA Guidance, Navigation and Control Conf.}, owner = {mst04}, title = {{A}nalysis of the controlled {NASA} {HL}20 atmospheric re-entry vehicle based on {D}ynamic {IQC}s}, url = {https://doi.org/10.2514/6.2009-5637}, year = 2009 }
  Link
  https://doi.org/10.2514/6.2009-5637
3. J. Veenman, H. Köroglu, und C. W. Scherer, IQC-Based LPV Controller Synthesis for the NASA HL20 Atmospheric Re-entry Vehicle, in Proc. AIAA Guidance, Navigation and Control Conf., 2009.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{VeeKor09, author = {Veenman, J. and K\"{o}ro\u{g}lu, H. and Scherer, C. W.}, booktitle = {Proc. AIAA Guidance, Navigation and Control Conf.}, owner = {mst04}, title = {{IQC}-{B}ased {LPV} {C}ontroller {S}ynthesis for the {NASA} {HL}20 {A}tmospheric {R}e-entry {V}ehicle}, url = {https://doi.org/10.2514/6.2009-5636}, year = 2009 }
  Link
  https://doi.org/10.2514/6.2009-5636
4. C. Scherer, Robust Controller Synthesis is Convex for Systems without Control Channel Uncertainties, in Model-Based Control: Bridging Rigorous Theory and Advanced Technology, P. M. J. V. den Hof, C. W. Scherer, und P. S. C. Heunberger, Hrsg. Springer US, 2009.
  - BibTeX
  - Link
  BibTeX
  @incollection{Sch2009, author = {Scherer, C.}, booktitle = {Model-Based Control: Bridging Rigorous Theory and Advanced Technology}, editor = {den Hof, P. M. J. Van and Scherer, Carsten W. and Heunberger, P. S. C.}, owner = {mst04}, pages = {13-30}, publisher = {Springer US}, title = {{R}obust {C}ontroller {S}ynthesis is {C}onvex for {S}ystems without {C}ontrol {C}hannel {U}ncertainties}, url = {https://doi.org/10.1007/978-1-4419-0895-7}, year = 2009 }
  Link
  https://doi.org/10.1007/978-1-4419-0895-7
5. I. Masubuchi und C. W. Scherer, A recursive algorithm of exactness verification of relaxations for robust SDPs, Syst. Control Lett., 2009.
  - BibTeX
  - Link
  BibTeX
  @article{MasSch09, author = {Masubuchi, I. and Scherer, C. W.}, journal = {Syst. Control Lett.}, owner = {mst04}, pages = {592 - 601}, title = {{A} recursive algorithm of exactness verification of relaxations for robust {SDP}s}, url = {https://doi.org/10.1016/j.sysconle.2009.04.002}, volume = 58, year = 2009 }
  Link
  https://doi.org/10.1016/j.sysconle.2009.04.002
6. H. Köroglu und C. W. Scherer, Generalized asymptotic regulation with guaranteed $H_2$ performance: An LMI solution, Automatica, 2009.
  - BibTeX
  - Link
  BibTeX
  @article{KorSch09, author = {K\"{o}ro\u{g}lu, H. and Scherer, C. W.}, journal = {Automatica}, owner = {mst04}, pages = {823 - 829}, title = {{G}eneralized asymptotic regulation with guaranteed ${H}_2$ performance: {A}n {LMI} solution}, url = {https://doi.org/10.1016/j.automatica.2008.10.026}, volume = 45, year = 2009 }
  Link
  https://doi.org/10.1016/j.automatica.2008.10.026
7. I. E. Kose und C. W. Scherer, Robust $L_2$-gain feedforward control of uncertain systems using dynamic IQCs, Int. J. Robust Nonlin., 2009.
  Zusammenfassung
  We consider the problem of robust L(2)-gain disturbance feedforward control for uncertain systems described in the standard LFT form. We use integral quadratic constraints (IQCs) for describing the uncertainty blocks in the system. For technical reasons related to the feedforward problem, throughout the paper, we work with the duals of the constraints involved in robustness analysis using IQCs. We obtain a convex solution to the problem using a state-space characterization of nominal stability that we have developed recently. Specifically, our solution consists of LMI conditions for the existence of a feedforward controller that guarantees a given L(2)-gain for the closed-loop system. We demonstrate the effectiveness of using dynamic IQCs in robust feedforward design through a numerical example. Copyright (C) 2008 John Wiley & Sons, Ltd.
  BibTeX
  @article{KosSch09a, abstract = {We consider the problem of robust L(2)-gain disturbance feedforward control for uncertain systems described in the standard LFT form. We use integral quadratic constraints (IQCs) for describing the uncertainty blocks in the system. For technical reasons related to the feedforward problem, throughout the paper, we work with the duals of the constraints involved in robustness analysis using IQCs. We obtain a convex solution to the problem using a state-space characterization of nominal stability that we have developed recently. Specifically, our solution consists of LMI conditions for the existence of a feedforward controller that guarantees a given L(2)-gain for the closed-loop system. We demonstrate the effectiveness of using dynamic IQCs in robust feedforward design through a numerical example. Copyright (C) 2008 John Wiley & Sons, Ltd.}, author = {Kose, I. E. and Scherer, C. W.}, endnotereftype = {Journal Article}, file = {<Go to ISI>://000267636600002}, issn = {1049-8923}, journal = {Int. J. Robust Nonlin.}, month = {07}, number = 11, pages = {1224-1247}, shorttitle = {Robust L(2)-gain feedforward control of uncertain systems using dynamic IQCs}, title = {{R}obust ${L}_2$-gain feedforward control of uncertain systems using dynamic {IQC}s}, url = {https://doi.org/10.1002/rnc.1374}, volume = 19, year = 2009 }
  Link
  https://doi.org/10.1002/rnc.1374
8. P. M. J. V. den Hof, C. W. Scherer, und P. S. C. Heunberger, Model-Based Control: Bridging Rigorous Theory and Advanced Technology. Springer-Verlag, 2009.
  - BibTeX
  - Link
  BibTeX
  @book{Hof2009, author = {den Hof, P. M. J. Van and Scherer, Carsten W. and Heunberger, P. S. C.}, owner = {mst04}, publisher = {Springer-Verlag}, title = {{M}odel-{B}ased {C}ontrol: {B}ridging {R}igorous {T}heory and {A}dvanced {T}echnology}, url = {https://link.springer.com/book/10.1007%2F978-1-4419-0895-7}, year = 2009 }
  Link
  https://link.springer.com/book/10.1007%2F978-1-4419-0895-7
2008
1. J. Veenman, H. Köro/uglu, und C. W. Scherer, An IQC Approach to Robust Estimation against Perturbations of Smoothly Time-Varying Parameters, in 47th IEEE Conf. Decision and Control, Cancun, Mexico, 2008.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{VenKor08, address = {Cancun, Mexico}, author = {Veenman, J. and K\"{o}ro/u{g}lu, H. and Scherer, C. W.}, booktitle = {47th IEEE Conf. Decision and Control}, endnotereftype = {Conference Proceedings}, file = {VenKor08.pdf:VenKor08.pdf:PDF}, pages = {2533-2538}, shorttitle = {An {IQC} Approach to Robust Estimation against Perturbations of Smoothly Time-Varying Parameters}, title = {{A}n {IQC} {A}pproach to {R}obust {E}stimation against {P}erturbations of {S}moothly {T}ime-{V}arying {P}arameters}, url = {https://doi.org/10.1109/CDC.2008.4739030}, year = 2008 }
  Link
  https://doi.org/10.1109/CDC.2008.4739030
2. E. J. Trottermant, C. W. Scherer, M. Weiss, und A. F. Vermeulen, Robust Minimax Strategies for Missile Guidance Design, in Proc. AIAA Guidance, Navigation and Control Conf., 2008.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{TroSch08, author = {Trottermant, E. J. and Scherer, C. W. and Weiss, M. and Vermeulen, A. F.}, booktitle = {Proc. AIAA Guidance, Navigation and Control Conf.}, owner = {mst04}, title = {{R}obust {M}inimax {S}trategies for {M}issile {G}uidance {D}esign}, url = {https://doi.org/10.2514/6.2008-6493}, year = 2008 }
  Link
  https://doi.org/10.2514/6.2008-6493
3. C. W. Scherer und I. E. Köse, Robustness with dynamic IQCs: An exact state-space characterization of nominal stability with applications to robust estimation, Automatica, 2008.
  - BibTeX
  - Link
  BibTeX
  @article{SchKos08, author = {Scherer, Carsten W. and K\"ose, I. Emre}, endnotereftype = {Journal Article}, file = {http://www.sciencedirect.com/science/article/B6V21-4S09538-4/2/b53c713307192202777fe3a8466fff76:Djvu;SchKos08.pdf:Scherer/SchKos08.pdf:PDF}, issn = {0005-1098}, journal = {Automatica}, number = 7, pages = {1666-1675}, shorttitle = {Robustness with dynamic {IQC}s: An exact state-space characterization of nominal stability with applications to robust estimation}, title = {{R}obustness with dynamic {IQC}s: {A}n exact state-space characterization of nominal stability with applications to robust estimation}, url = {https://doi.org/10.1016/j.automatica.2007.10.023}, volume = 44, year = 2008 }
  Link
  https://doi.org/10.1016/j.automatica.2007.10.023
4. J. M. Rieber, C. W. Scherer, und F. Allgower, Robust $l_1$ performance analysis for linear systems with parametric uncertainties, Int. J. Control, 2008.
  Zusammenfassung
  In this contribution, a computational approach for analysing the robust e.-gain (or the robust l(1) performance) of uncertain linear systems is developed. In particular, the system's state-space matrices may have a rational dependence on structured parametric time-invariant or time-varying uncertainties. The computation is based on robust semi-definite programming and provides a trade-off between accuracy and computational effort. A novel matrix inequality condition to determine the star-norm of discrete-time systems is derived as an auxiliary result.
  BibTeX
  @article{RieSch08a, abstract = {In this contribution, a computational approach for analysing the robust e.-gain (or the robust l(1) performance) of uncertain linear systems is developed. In particular, the system's state-space matrices may have a rational dependence on structured parametric time-invariant or time-varying uncertainties. The computation is based on robust semi-definite programming and provides a trade-off between accuracy and computational effort. A novel matrix inequality condition to determine the star-norm of discrete-time systems is derived as an auxiliary result.}, author = {Rieber, J. M. and Scherer, C. W. and Allgower, F.}, endnotereftype = {Journal Article}, file = {<Go to ISI>://000255553000012}, journal = {Int. J. Control}, number = 5, pages = {851-864}, shorttitle = {Robust l(1) performance analysis for linear systems with parametric uncertainties}, title = {{R}obust $l_1$ performance analysis for linear systems with parametric uncertainties}, url = {https://doi.org/10.1080/00207170701730451}, volume = 81, year = 2008 }
  Link
  https://doi.org/10.1080/00207170701730451
5. H. Nguyen Tien, C. W. Scherer, und J. M. A. Scherpen, IQC-based robust stability analysis for LPV control of doubly-fed induction generators, in 10th int. Conf. Control, Automation, Robotics and Vision, Hanoi, Vietnam, 2008.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{NguSchSch08, address = {Hanoi, Vietnam}, author = {Nguyen Tien, H. and Scherer, Carsten W. and Scherpen, J. M. A.}, booktitle = {10th int. Conf. Control, Automation, Robotics and Vision}, owner = {mst04}, title = {{IQC}-based robust stability analysis for {LPV} control of doubly-fed induction generators}, url = {https://doi.org/10.1109/ICARCV.2008.4795804}, year = 2008 }
  Link
  https://doi.org/10.1109/ICARCV.2008.4795804
6. I. E. Köse und C. W. Scherer, Reduced complexity existence conditions for robust $L_2$-gain feedforward controllers for uncertain systems using dynamic IQCs, in 17th IFAC World Congress, Seoul, South Korea, 2008.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{KosSch08a, address = {Seoul, South Korea}, author = {K\"ose, I. E. and Scherer, C. W.}, booktitle = {17th IFAC World Congress}, owner = {mst04}, title = {{R}educed complexity existence conditions for robust ${L}_2$-gain feedforward controllers for uncertain systems using dynamic {IQC}s}, url = {https://doi.org/10.3182/20080706-5-KR-1001.00674}, year = 2008 }
  Link
  https://doi.org/10.3182/20080706-5-KR-1001.00674
7. H. Köroglu und C. W. Scherer, An LMI approach to $H_ınfty$ synthesis subject to almost asymptotic regulation constraints, Syst. Control Lett., 2008.
  - BibTeX
  - Link
  BibTeX
  @article{KSch08, author = {K\"{o}ro\u{g}lu, H. and Scherer, C. W.}, endnotereftype = {Journal Article}, file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-38949099316&partnerID=40:Djvu;KorSch08.pdf:KorSch08.pdf:PDF}, journal = {Syst. Control Lett.}, number = 4, pages = {300-308}, shorttitle = {An LMI approach to ${H}_2$ synthesis subject to almost asymptotic regulation constraints}, title = {{A}n {LMI} approach to ${H}_\infty$ synthesis subject to almost asymptotic regulation constraints}, url = {https://doi.org/10.1016/j.sysconle.2007.09.011}, volume = 57, year = 2008 }
  Link
  https://doi.org/10.1016/j.sysconle.2007.09.011
8. H. Köroglu und C. W. Scherer, Robust attenuation of non-stationary sinusoidal disturbances with uncertain frequencies, in 17th IFAC World Congress, Seoul, South Korea, 2008.
  - BibTeX
  BibTeX
  @inproceedings{KorSch08, address = {Seoul, South Korea}, author = {K\"{o}ro\u{g}lu, H. and Scherer, C. W.}, booktitle = {17th IFAC World Congress}, owner = {mst04}, title = {{R}obust attenuation of non-stationary sinusoidal disturbances with uncertain frequencies}, year = 2008 }
9. H. Köroglu und C. W. Scherer, LPV control for robust attenuation of non-stationary sinusodial disturbances with measurable frequencies, in 17th IFAC World Congress, Seoul, South Korea, 2008.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{KorSch08c, address = {Seoul, South Korea}, author = {K\"{o}ro\u{g}lu, H. and Scherer, C. W.}, booktitle = {17th IFAC World Congress}, owner = {mst04}, title = {{LPV} control for robust attenuation of non-stationary sinusodial disturbances with measurable frequencies}, url = {https://doi.org/10.3182/20080706-5-KR-1001.00828}, year = 2008 }
  Link
  https://doi.org/10.3182/20080706-5-KR-1001.00828
10. H. Köroglu und C. W. Scherer, Robust Generalized Asymptotic Regulation against Non-Stationary Sinusoidal Disturbances, in 47th IEEE Conf. Decision and Control, 2008.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{H.Korouglu2008, author = {K\"{o}ro\u{g}lu, H. and Scherer, C. W.}, booktitle = {47th IEEE Conf. Decision and Control}, owner = {mst04}, title = {{R}obust {G}eneralized {A}symptotic {R}egulation against {N}on-{S}tationary {S}inusoidal {D}isturbances}, url = {https://doi.org/10.1109/CDC.2008.4739273}, year = 2008 }
  Link
  https://doi.org/10.1109/CDC.2008.4739273
11. S. G. Dietz und C. W. Scherer, Verifying exactness of relaxations for robust semi-definite programs by solving polynomial systems, Linear Algebra Appl., 2008.
  Zusammenfassung
  In this paper, robust semi-definite programs are considered with the goal of verifying whether a particular LMI relaxation is exact. A procedure is presented showing that verifying exactness amounts to solving a polynomial system. The main contribution of the paper is a new algorithm to compute all isolated solutions of a system of polynomials. Standard techniques in computational algebra, often referred to as Stetter's method H.J. Stetter, Numerical Polynomial Algebra, SIAM, 2004, involve the computation of a Grobner basis of the ideal generated by the polynomials and further require joint eigenvector computations in order to arrive at the zeros of the polynomial system. Our algorithm does neither require structural knowledge on the polynomial system, nor does it rely on the computation of joint eigenvectors. (c) 2008 Elsevier Inc. All rights reserved.
  BibTeX
  @article{DieSch08, abstract = {In this paper, robust semi-definite programs are considered with the goal of verifying whether a particular LMI relaxation is exact. A procedure is presented showing that verifying exactness amounts to solving a polynomial system. The main contribution of the paper is a new algorithm to compute all isolated solutions of a system of polynomials. Standard techniques in computational algebra, often referred to as Stetter's method [H.J. Stetter, Numerical Polynomial Algebra, SIAM, 2004], involve the computation of a Grobner basis of the ideal generated by the polynomials and further require joint eigenvector computations in order to arrive at the zeros of the polynomial system. Our algorithm does neither require structural knowledge on the polynomial system, nor does it rely on the computation of joint eigenvectors. (c) 2008 Elsevier Inc. All rights reserved.}, author = {Dietz, S. G. and Scherer, C. W.}, endnotereftype = {Journal Article}, file = {<Go to ISI>://000259435200031:Djvu;DieSch08.pdf:DieSch08.pdf:PDF}, journal = {Linear Algebra Appl.}, number = 7, pages = {1758-1778}, shorttitle = {Verifying exactness of relaxations for robust semi-definite programs by solving polynomial systems}, title = {{V}erifying exactness of relaxations for robust semi-definite programs by solving polynomial systems}, url = {https://doi.org/10.1016/j.laa.2008.05.009}, volume = 429, year = 2008 }
  Link
  https://doi.org/10.1016/j.laa.2008.05.009
12. S. G. Dietz, H. Köroglu, und C. W. Scherer, Robust controller synthesis for disturbance filter uncertainty described by dynamic integral quadratic constraints, in 17th IFAC World Congress, Seoul, South Korea, 2008.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{DieKor08, address = {Seoul, South Korea}, author = {Dietz, S. G. and K\"{o}ro\u{g}lu, H. and Scherer, C. W.}, booktitle = {17th IFAC World Congress}, owner = {mst04}, pages = {1325 - 1330}, title = {{R}obust controller synthesis for disturbance filter uncertainty described by dynamic integral quadratic constraints}, url = {https://doi.org/10.3182/20080706-5-KR-1001.00227}, year = 2008 }
  Link
  https://doi.org/10.3182/20080706-5-KR-1001.00227
13. S. G. Dietz, H. M. N. K. Balini, und C. W. Scherer, Robust control against disturbance model uncertainty in active magnetic bearings, in Proc. 11th International Symposium on Magnetic Bearings, 2008.
  - BibTeX
  BibTeX
  @inproceedings{DieBal08, author = {Dietz, S. G. and Balini, H. M. N. K. and Scherer, C. W.}, booktitle = {Proc. 11th International Symposium on Magnetic Bearings}, owner = {mst04}, title = {{R}obust control against disturbance model uncertainty in active magnetic bearings}, year = 2008 }
14. H. M. N. K. Balini, H. Köroglu, und C. W. Scherer, LPV Control for synchronous disturbance attenuation in active magnetic bearings, in Proc. Dynamic Systems and Control Conf., Ann Arbor, Michigan, 2008.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{BalKor08, address = {Ann Arbor, Michigan}, author = {Balini, H. M. N. K. and K\"{o}ro\u{g}lu, H. and Scherer, C. W.}, booktitle = {Proc. Dynamic Systems and Control Conf.}, owner = {mst04}, title = {{LPV} {C}ontrol for synchronous disturbance attenuation in active magnetic bearings}, url = {https://doi.org/10.1115/DSCC2008-2250}, year = 2008 }
  Link
  https://doi.org/10.1115/DSCC2008-2250
2007
1. M. Weiss, M. Rol, W. Falkena, und C. W. Scherer, Guidance performance analysis in the presence of model uncertainties, in Proc. AIAA Guidance, Navigation and Control Conf., 2007.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{WeiRol07, author = {Weiss, M. and Rol, M. and Falkena, W. and Scherer, C. W.}, booktitle = {Proc. AIAA Guidance, Navigation and Control Conf.}, endnotereftype = {Conference Proceedings}, file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-37249047386&partnerID=40}, pages = {4422-4433}, shorttitle = {Guidance performance analysis in the presence of model uncertainties}, title = {{G}uidance performance analysis in the presence of model uncertainties}, url = {https://doi.org/10.2514/6.2007-6786}, volume = 5, year = 2007 }
  Link
  https://doi.org/10.2514/6.2007-6786
2. C. W. Scherer und I. E. Köse, Gain-scheduling synthesis with dynamic $D$-scalings, in 46th IEEE Conf. Decision and Control, 2007.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{cdc07b, author = {Scherer, C. W. and K\"ose, I. E.}, booktitle = {46th IEEE Conf. Decision and Control}, endnotereftype = {Conference Proceedings}, shorttitle = {Gain-scheduling synthesis with dynamic ${D}$-scalings}, title = {{G}ain-scheduling synthesis with dynamic ${D}$-scalings}, url = {https://doi.org/10.1109/CDC.2007.4434648}, year = 2007 }
  Link
  https://doi.org/10.1109/CDC.2007.4434648
3. C. W. Scherer und I. E. Köse, On robust controller synthesis with dynamic $D$-scalings, in 46th IEEE Conf. Decision and Control, 2007.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{cdc07a, author = {Scherer, C. W. and K\"ose, I. E.}, booktitle = {46th IEEE Conf. Decision and Control}, endnotereftype = {Conference Proceedings}, shorttitle = {On robust controller synthesis with dynamic ${D}$-scalings}, title = {{O}n robust controller synthesis with dynamic ${D}$-scalings}, url = {https://doi.org/10.1109/CDC.2007.4434634}, year = 2007 }
  Link
  https://doi.org/10.1109/CDC.2007.4434634
4. H. Nguyen Tien, C. W. Scherer, und J. M. A. Scherpen, Self-scheduled LPV controller synthesis for doubly-fed induction generators, in Proc. Windpower, Los Angeles, 2007.
  - BibTeX
  BibTeX
  @inproceedings{NguyenTien2007, address = {Los Angeles}, author = {Nguyen Tien, H. and Scherer, Carsten W. and Scherpen, J. M. A.}, booktitle = {Proc. Windpower}, owner = {mst04}, title = {{S}elf-scheduled {LPV} controller synthesis for doubly-fed induction generators}, year = 2007 }
5. H. Nguyen Tien, C. W. Scherer, und J. M. A. Scherpen, Robust performance of self-scheduled LPV control of doubly-fed induction generator in wind energy conversion systems, in Eur. Conf. on Power Electronics and Applications, 2007.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{NguSch07, author = {Nguyen Tien, H. and Scherer, C. W. and Scherpen, J. M. A.}, booktitle = {Eur. Conf. on Power Electronics and Applications}, endnotereftype = {Conference Proceedings}, file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-51049122107&partnerID=40}, shorttitle = {Robust performance of self-scheduled LPV control of doubly-fed induction generator in wind energy conversion systems}, title = {{R}obust performance of self-scheduled {LPV} control of doubly-fed induction generator in wind energy conversion systems}, url = {https://doi.org/10.1109/EPE.2007.4417460}, year = 2007 }
  Link
  https://doi.org/10.1109/EPE.2007.4417460
6. I. E. Köse und C. W. Scherer, Robust feedforward control of uncertain systems using dynamic IQCs, in 46th IEEE Conf. Decision and Control, 2007.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{KosSch07, author = {K\"ose, I. E and Scherer, C. W.}, booktitle = {46th IEEE Conf. Decision and Control}, endnotereftype = {Conference Proceedings}, file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-39549119799&partnerID=40}, pages = {2181-2186}, shorttitle = {Robust feedforward control of uncertain systems using dynamic IQCs}, title = {{R}obust feedforward control of uncertain systems using dynamic {IQC}s}, url = {https://doi.org/10.1109/CDC.2007.4434631}, year = 2007 }
  Link
  https://doi.org/10.1109/CDC.2007.4434631
7. H. Köroglu und C. W. Scherer, An LPV control approach to asymptotic rejection of non-stationary disturbances with guaranteed worst-case performance, in Proc. American Control Conf., 2007.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{KSch07, author = {K\"{o}ro\u{g}lu, H. and Scherer, C. W.}, booktitle = {Proc. American Control Conf.}, endnotereftype = {Conference Proceedings}, file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-46449094638&partnerID=40}, pages = {6085-6090}, shorttitle = {An LPV control approach to asymptotic rejection of non-stationary disturbances with guaranteed worst-case performance}, title = {{A}n {LPV} control approach to asymptotic rejection of non-stationary disturbances with guaranteed worst-case performance}, url = {https://doi.org/10.1109/ACC.2007.4282141}, year = 2007 }
  Link
  https://doi.org/10.1109/ACC.2007.4282141
8. H. Köroglu und C. W. Scherer, Robust Performance Analysis for Structured Linear Time-Varying Perturbations with Bounded Rates-of-Variation, IEEE T. Automat. Contr., 2007.
  - BibTeX
  - Link
  BibTeX
  @article{KorSch07, author = {K\"{o}ro\u{g}lu, H. and Scherer, C. W.}, endnotereftype = {Journal Article}, file = {KorSch07.pdf:KorSch07.pdf:PDF}, journal = {IEEE T. Automat. Contr.}, number = 2, pages = {197-211}, shorttitle = {Robust Performance Analysis for Structured Linear Time-Varying Perturbations with Bounded Rates-of-Variation}, title = {{R}obust {P}erformance {A}nalysis for {S}tructured {L}inear {T}ime-{V}arying {P}erturbations with {B}ounded {R}ates-of-{V}ariation}, url = {https://doi.org/10.1109/TAC.2006.890482}, volume = 52, year = 2007 }
  Link
  https://doi.org/10.1109/TAC.2006.890482
9. H. Köroglu und C. W. Scherer, Asymptotic Rejection of Non-Stationary Sinusodial Disturbances with Guaranteed Worst-Case Performance, in Philips Conf. Appl. of Cont. Tech., 2007.
  - BibTeX
  BibTeX
  @inproceedings{Korouglu2007, author = {K\"{o}ro\u{g}lu, H. and Scherer, C. W.}, booktitle = {Philips Conf. Appl. of Cont. Tech.}, owner = {mst04}, pages = {126- 130}, title = {{A}symptotic {R}ejection of {N}on-{S}tationary {S}inusodial {D}isturbances with {G}uaranteed {W}orst-{C}ase {P}erformance}, year = 2007 }
10. S. Dietz, C. W. Scherer, und H. Köroglu, Robust control adainst disturbance model uncertainty: a convex solution, in 46th IEEE Conf. Decision and Control, New Orleans, LA, 2007.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Dietz2007, address = {New Orleans, LA}, author = {Dietz, S. and Scherer, Carsten W. and K\"{o}ro\u{g}lu, H.}, booktitle = {46th IEEE Conf. Decision and Control}, owner = {mst04}, title = {{R}obust control adainst disturbance model uncertainty: a convex solution}, url = {https://doi.org/10.1109/CDC.2007.4434642}, year = 2007 }
  Link
  https://doi.org/10.1109/CDC.2007.4434642
2006
1. C. W. Scherer und I. Köse, Robust $H_2$ estimation with dynamic IQCs: A convex solution, in 45th IEEE Conf. Decision and Control, San Diego, 2006.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Scherer2006, address = {San Diego}, author = {Scherer, Carsten W. and K\"ose, I.}, booktitle = {45th IEEE Conf. Decision and Control}, owner = {mst04}, pages = {4746 - 4751}, title = {{R}obust ${H}_2$ estimation with dynamic {IQC}s: {A} convex solution}, url = {https://doi.org/10.1109/CDC.2006.377792}, year = 2006 }
  Link
  https://doi.org/10.1109/CDC.2006.377792
2. C. W. Scherer und I. E. Köse, Robust estimation with dynamic integral quadratic constraints, in 17th International Symposium on Mathematical Theory of Networks and Systems, Kyoto, Japan, 2006.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{SchKos06, address = {Kyoto, Japan}, author = {Scherer, C. W. and K\"ose, I. E.}, booktitle = {17th International Symposium on Mathematical Theory of Networks and Systems}, editor = {Yamamoto, Yutaka}, endnotereftype = {Conference Proceedings}, file = {SchKos06.pdf::Djvu;SchKos06.pdf:Scherer\\SchKos06.pdf:PDF}, shorttitle = {Robust estimation with dynamic integral quadratic constraints}, title = {{R}obust estimation with dynamic integral quadratic constraints}, url = {http://www.researchgate.net/publication/228734563_Robust_estimation_with_dynamic_integral_quadratic_constraints}, year = 2006 }
  Link
  http://www.researchgate.net/publication/228734563_Robust_estimation_with_dynamic_integral_quadratic_constraints
3. C. W. Scherer und C. W. J. Hol, Matrix sum-of-squares relaxations for robust semi-definite programs, Math. Program., 2006.
  - BibTeX
  - Link
  BibTeX
  @article{SchHol06, author = {Scherer, C. W. and Hol, C. W. J.}, endnotereftype = {Journal Article}, file = {scherer/SchHol06.pdf::Djvu;SchHol06.pdf:Scherer/SchHol06.pdf:PDF}, journal = {Math. Program.}, pages = {189-211}, shorttitle = {Matrix sum-of-squares relaxations for robust semi-definite programs}, title = {{M}atrix sum-of-squares relaxations for robust semi-definite programs}, url = {https://doi.org/10.1007/s10107-005-0684-2}, volume = 107, year = 2006 }
  Link
  https://doi.org/10.1007/s10107-005-0684-2
4. C. W. Scherer, LMI Relaxations in Robust Control, Eur. J. Control, 2006.
  - BibTeX
  - Link
  BibTeX
  @article{Sch05c, author = {Scherer, C. W.}, endnotereftype = {Journal Article}, journal = {Eur. J. Control}, pages = {3-29}, shorttitle = {{LMI} Relaxations in Robust Control}, title = {{LMI} {R}elaxations in {R}obust {C}ontrol}, url = {https://doi.org/10.3166/ejc.12.3-29}, volume = 12, year = 2006 }
  Link
  https://doi.org/10.3166/ejc.12.3-29
5. J. M. Rieber, C. W. Scherer, und F. Allgöwer, On complexity issues in multiobjective controller design using convex optimization, in 5th IFAC Symposium on Robust Control Design, Toulouse, France, 2006.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Rieber2006, address = {Toulouse, France}, author = {Rieber, J. M. and Scherer, C. W. and Allg\"ower, F.}, booktitle = {5th IFAC Symposium on Robust Control Design}, owner = {mst04}, title = {{O}n complexity issues in multiobjective controller design using convex optimization}, url = {https://doi.org/10.3182/20060705-3-FR-2907.00003}, year = 2006 }
  Link
  https://doi.org/10.3182/20060705-3-FR-2907.00003
6. J. M. Rieber, C. W. Scherer, und F. Allgoöwer, Robust $l_1$ performance analysis in face of parametric uncertainties, in 45th IEEE Conf. Decision and Control, 2006.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Rieber2006a, author = {Rieber, J. M. and Scherer, C. W. and Allgo\"ower, F.}, booktitle = {45th IEEE Conf. Decision and Control}, endnotereftype = {Conference Proceedings}, file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-39649119373&partnerID=40}, pages = {5826-5831}, shorttitle = {Robust $l_1$ performance analysis in face of parametric uncertainties}, title = {{R}obust $l_1$ performance analysis in face of parametric uncertainties}, url = {https://doi.org/10.1109/CDC.2006.377748}, year = 2006 }
  Link
  https://doi.org/10.1109/CDC.2006.377748
7. I. E. Köse und C. W. Scherer, Gain-Scheduled Control using Dynamic Integral Quadratic Constraints, in 5th IFAC Symposium on Robust Control Design, Toulouse, France, 2006.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{KosSch06, address = {Toulouse, France}, author = {K\"ose, I. E. and Scherer, C. W.}, booktitle = {5th IFAC Symposium on Robust Control Design}, endnotereftype = {Conference Proceedings}, shorttitle = {Gain-Scheduled Control using Dynamic Integral Quadratic Constraints}, title = {{G}ain-{S}cheduled {C}ontrol using {D}ynamic {I}ntegral {Q}uadratic {C}onstraints}, url = {https://doi.org/10.3182/20060705-3-FR-2907.00039}, year = 2006 }
  Link
  https://doi.org/10.3182/20060705-3-FR-2907.00039
8. H. Köroglu und C. W. Scherer, Robust stability analysis tests for linear time-varying pertubations with bounded rates-of-variation, in 5th IFAC Symposium on Robust Control Design, 2006.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{KorSch06, author = {K\"{o}ro\u{g}lu, H. and Scherer, C. W.}, booktitle = {5th IFAC Symposium on Robust Control Design}, owner = {mst04}, title = {{R}obust stability analysis tests for linear time-varying pertubations with bounded rates-of-variation}, url = {https://doi.org/10.3182/20060705-3-FR-2907.00074}, year = 2006 }
  Link
  https://doi.org/10.3182/20060705-3-FR-2907.00074
9. H. Köroglu und C. W. Scherer, Robust stability analysis against perturbations of smoothly time-varying parameters, in 45th IEEE Conf. Decision and Control, 2006.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{KSch06, author = {K\"{o}ro\u{g}lu, H. and Scherer, C. W.}, booktitle = {45th IEEE Conf. Decision and Control}, endnotereftype = {Conference Proceedings}, file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-39649115594&partnerID=40}, pages = {2895-2900}, shorttitle = {Robust stability analysis against perturbations of smoothly time-varying parameters}, title = {{R}obust stability analysis against perturbations of smoothly time-varying parameters}, url = {https://doi.org/10.1109/CDC.2006.376805}, year = 2006 }
  Link
  https://doi.org/10.1109/CDC.2006.376805
10. S. G. Dietz und C. W. Scherer, Relaxations of robust linear programs and verification of exactness, in 5th IFAC Symposium on Robust Control Design, Toulouse, France, 2006.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{DieSch06b, address = {Toulouse, France}, author = {Dietz, S. G. and Scherer, C. W.}, booktitle = {5th IFAC Symposium on Robust Control Design}, owner = {mst04}, pages = {345 - 350}, title = {{R}elaxations of robust linear programs and verification of exactness}, url = {https://doi.org/10.3182/20060705-3-FR-2907.00060}, year = 2006 }
  Link
  https://doi.org/10.3182/20060705-3-FR-2907.00060
11. S. G. Dietz und C. W. Scherer, Linear parameter-Varying controller synthesis using matrix sum-of Squares, in Proc. XVI Brazilian Automation Conf. and Latin-American Cong. on Autom. Control, 2006.
  - BibTeX
  BibTeX
  @inproceedings{DieSch06, author = {Dietz, S. G. and Scherer, C. W.}, booktitle = {Proc. XVI Brazilian Automation Conf. and Latin-American Cong. on Autom. Control}, owner = {mst04}, title = {{L}inear parameter-{V}arying controller synthesis using matrix sum-of {S}quares}, year = 2006 }
12. H. Chen und C. W. Scherer, Moving horizon $H_ınfty$ control with performance adaptation for constrained linear systems, Automatica, 2006.
  - BibTeX
  - Link
  BibTeX
  @article{CheSch06, author = {Chen, H. and Scherer, C. W.}, endnotereftype = {Journal Article}, file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-33646126057&partnerID=40:}, journal = {Automatica}, number = 6, pages = {1033-1040}, shorttitle = {Moving horizon ${H}_\infty$ control with performance adaptation for constrained linear systems}, title = {{M}oving horizon ${H}_\infty$ control with performance adaptation for constrained linear systems}, url = {https://doi.org/10.1016/j.automatica.2006.03.001}, volume = 42, year = 2006 }
  Link
  https://doi.org/10.1016/j.automatica.2006.03.001
13. R. Bars u. a., Theory, algorithms and technology in the design of control systems, Annu. Rev. Control, 2006.
  Zusammenfassung
  Control theory deals with disciplines and methods leading to an automatic decision process in order to improve the performance of a control system. The evolution of control engineering is closely related to the evolution of the technology of sensors and actuators, and to the theoretical controller design methods and numerical techniques to be applied in real-time computing. New control disciplines, new development in the technologies will fertilize quite new control application fields. The status report gives an overview of the current key problems in control theory and design, evaluates the recent major accomplishments and forecasts some new areas. Challenges for future theoretical work are modelling, analysis and design of systems in quite new applications fields. New effective real-time optimal algorithms are needed for 2D and 3D pattern recognition. Design of very large distributed systems has presented a new challenge to control theory including robust control. Control over the networks becomes an important application area. Virtual reality is developing in impressive rate arising new theoretical problems. Distributed hybrid control systems involving extremely large number of interacting control loops, coordinating large number of autonomous agents, handling very large model uncertainties will be in the center of future research. New achievements in bioinformatics will result in new applications. All these challenges need development of new theories, analysis and design methods. (C) 2006 Elsevier Ltd. All rights reserved.
  BibTeX
  @article{BarCol06, abstract = {Control theory deals with disciplines and methods leading to an automatic decision process in order to improve the performance of a control system. The evolution of control engineering is closely related to the evolution of the technology of sensors and actuators, and to the theoretical controller design methods and numerical techniques to be applied in real-time computing. New control disciplines, new development in the technologies will fertilize quite new control application fields. The status report gives an overview of the current key problems in control theory and design, evaluates the recent major accomplishments and forecasts some new areas. Challenges for future theoretical work are modelling, analysis and design of systems in quite new applications fields. New effective real-time optimal algorithms are needed for 2D and 3D pattern recognition. Design of very large distributed systems has presented a new challenge to control theory including robust control. Control over the networks becomes an important application area. Virtual reality is developing in impressive rate arising new theoretical problems. Distributed hybrid control systems involving extremely large number of interacting control loops, coordinating large number of autonomous agents, handling very large model uncertainties will be in the center of future research. New achievements in bioinformatics will result in new applications. All these challenges need development of new theories, analysis and design methods. (C) 2006 Elsevier Ltd. All rights reserved.}, author = {Bars, R. and Colaneri, P. and de Souza, C. E. and Dugard, L. and Allgower, F. and Kleimenov, A. and Scherer, C. W.}, endnotereftype = {Journal Article}, file = {<Go to ISI>://000240706500004}, issn = {1367-5788}, journal = {Annu. Rev. Control}, number = 1, pages = {19-30}, shorttitle = {Theory, algorithms and technology in the design of control systems}, title = {{T}heory, algorithms and technology in the design of control systems}, url = {https://doi.org/10.1016/j.arcontrol.2006.01.006}, volume = 30, year = 2006 }
  Link
  https://doi.org/10.1016/j.arcontrol.2006.01.006
2005
1. C. W. Scherer, How to construct asymptotically exact relaxations in robust control?, Journal of SICE, 2005.
  - BibTeX
  - Link
  BibTeX
  @article{Sch05b, author = {Scherer, Carsten W.}, journal = {Journal of SICE}, owner = {mst04}, pages = {519-533}, title = {{H}ow to construct asymptotically exact relaxations in robust control?}, url = {https://doi.org/10.11499/sicejl1962.44.519}, volume = 44, year = 2005 }
  Link
  https://doi.org/10.11499/sicejl1962.44.519
2. C. W. Scherer, On Numerical Verifiable Exactness of Multiplier Relaxations, in 16th IFAC World Congress, Prague, 2005.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Sch05a, address = {Prague}, author = {Scherer, C. W.}, booktitle = {16th IFAC World Congress}, owner = {mst04}, title = {{O}n {N}umerical {V}erifiable {E}xactness of {M}ultiplier {R}elaxations}, url = {https://doi.org/10.3182/20050703-6-CZ-1902.00998}, year = 2005 }
  Link
  https://doi.org/10.3182/20050703-6-CZ-1902.00998
3. C. W. Scherer, Relaxations for robust linear matrix inequality problems with verifications for exactness, SIAM J. Matrix Anal. A., 2005.
  - BibTeX
  - Link
  BibTeX
  @article{Sch05, author = {Scherer, C. W.}, endnotereftype = {Journal Article}, file = {scherer/sch05.pdf::Djvu;HolSch05.pdf:Scherer\\HolSch05.pdf:PDF}, journal = {SIAM J. Matrix Anal. A.}, number = 2, pages = {365-395}, shorttitle = {Relaxations for robust linear matrix inequality problems with verifications for exactness}, title = {{R}elaxations for robust linear matrix inequality problems with verifications for exactness}, url = {https://doi.org/10.1137/S0895479803430953}, volume = 27, year = 2005 }
  Link
  https://doi.org/10.1137/S0895479803430953
4. H. Köroglu und C. W. Scherer, Robust stability analysis for structured uncertainties with bounded variation rates, in 16th IFAC World Congress, Prague, 2005.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{KorSch05b, address = {Prague}, author = {K\"{o}ro\u{g}lu, H. and Scherer, C. W.}, booktitle = {16th IFAC World Congress}, owner = {mst04}, title = {{R}obust stability analysis for structured uncertainties with bounded variation rates}, url = {https://doi.org/10.3182/20050703-6-CZ-1902.00974}, year = 2005 }
  Link
  https://doi.org/10.3182/20050703-6-CZ-1902.00974
5. H. Köroglu und C. W. Scherer, Robust performance analysis for linear slowly time-varying perturbations, in 44th IEEE Conf. Decision and Control, Sevilla, Spain, 2005.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{KorSch05, address = {Sevilla, Spain}, author = {K\"{o}ro\u{g}lu, H. and Scherer, C. W.}, booktitle = {44th IEEE Conf. Decision and Control}, endnotereftype = {Conference Proceedings}, shorttitle = {Robust performance analysis for linear slowly time-varying perturbations}, title = {{R}obust performance analysis for linear slowly time-varying perturbations}, url = {https://doi.org/10.1109/CDC.2005.1583080}, year = 2005 }
  Link
  https://doi.org/10.1109/CDC.2005.1583080
6. C. W. J. Hol und C. W. Scherer, Sum of squares relaxations for robust polynomial semi-definite programs, in 16th IFAC World Congress, Prague, 2005.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{HolSch05, address = {Prague}, author = {Hol, C. W. J. and Scherer, C. W.}, booktitle = {16th IFAC World Congress}, owner = {mst04}, title = {{S}um of squares relaxations for robust polynomial semi-definite programs}, url = {https://doi.org/10.3182/20050703-6-CZ-1902.01020}, year = 2005 }
  Link
  https://doi.org/10.3182/20050703-6-CZ-1902.01020
7. C. Hol und C. W. Scherer, A sum-of-squares approach to fixed-order $H_ınfty$-synthesis, in Lecture Notes in Control and Information Sciences, D. Henrion und A. Garulli, Hrsg. Springer-Verlag, 2005.
  - BibTeX
  BibTeX
  @incollection{HolSch2005, author = {Hol, C. and Scherer, Carsten W.}, booktitle = {Lecture Notes in Control and Information Sciences}, editor = {Henrion, D. and Garulli, A.}, owner = {mst04}, pages = {45 - 71}, publisher = {Springer-Verlag}, title = {{A} sum-of-squares approach to fixed-order ${H}_\infty$-synthesis}, year = 2005 }
8. M. Groot Wassink, M. van de Wal, C. W. Scherer, und O. Bosgra, LPV control for a wafer stage: beyond the theoretical solution, Control Eng. Pract., 2005.
  - BibTeX
  - Link
  BibTeX
  @article{GroWal, author = {Groot Wassink, M. and van de Wal, M. and Scherer, C. W. and Bosgra, O.}, endnotereftype = {Journal Article}, file = {http://www.sciencedirect.com/science/article/B6V2H-4C6KNNJ-4/2/8d917e34d9bb218fa4f70862d530182d}, journal = {Control Eng. Pract.}, pages = {231-245}, shorttitle = {LPV control for a wafer stage: beyond the theoretical solution}, title = {{LPV} control for a wafer stage: beyond the theoretical solution}, url = {https://doi.org/10.1016/j.conengprac.2004.03.008}, volume = 13, year = 2005 }
  Link
  https://doi.org/10.1016/j.conengprac.2004.03.008
9. E. de Gelder, M. van de Wal, C. W. Scherer, C. W. J. Hol, und O. H. Bosgra, Nominal and robust feedforward design with time domain constraints applied to a wafer stage, J. Dyn. Sys., Meas., Control, 2005.
  - BibTeX
  - Link
  BibTeX
  @article{GelWal05, author = {de Gelder, E. and van de Wal, M. and Scherer, C. W. and Hol, C. W. J. and Bosgra, O. H.}, endnotereftype = {Journal Article}, journal = {J. Dyn. Sys., Meas., Control}, pages = {204 - 215}, shorttitle = {Nominal and robust feedforward design with time domain constraints applied to a wafer stage}, title = {{N}ominal and robust feedforward design with time domain constraints applied to a wafer stage}, url = {https://doi.org/10.1115/1.2192821}, volume = {128(2)}, year = 2005 }
  Link
  https://doi.org/10.1115/1.2192821
2004
1. M. Zandvliet, C. W. Scherer, C. W. J. Hol, und M. van de Wal, Multi-objective $H_ınfty$ Control Applied to a Wafer Stage Model, in 43rd IEEE Conf. Decision and Control, Atlantis, Paradise Island, Bahamas, 2004.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{ZanSch04, address = {Atlantis, Paradise Island, Bahamas}, author = {Zandvliet, M. and Scherer, C. W. and Hol, C. W. J. and van de Wal, M.}, booktitle = {43rd IEEE Conf. Decision and Control}, endnotereftype = {Conference Proceedings}, pages = {796-802}, shorttitle = {Multi-objective ${H}_\infty$ Control Applied to a Wafer Stage Model}, title = {{M}ulti-objective ${H}_\infty$ {C}ontrol {A}pplied to a {W}afer {S}tage {M}odel}, url = {https://doi.org/10.1109/CDC.2004.1428763}, year = 2004 }
  Link
  https://doi.org/10.1109/CDC.2004.1428763
2. G. M. Voorsluijs, S. Bennani, und C. W. Scherer, Linear and Parameter-Dependent Robust Control Techniques applied to a Helicopter UAV, in Proc. AIAA Guidance, Navigation and Control Conf., Providence, Rhode Island, 2004.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{VooBen04.pdf, address = {Providence, Rhode Island}, author = {Voorsluijs, G. M. and Bennani, S. and Scherer, C. W.}, booktitle = {Proc. AIAA Guidance, Navigation and Control Conf.}, endnotereftype = {Conference Proceedings}, file = {VooBen04.pdf}, pages = 12, shorttitle = {Linear and Parameter-Dependent Robust Control Techniques applied to a Helicopter {UAV}}, title = {{L}inear and {P}arameter-{D}ependent {R}obust {C}ontrol {T}echniques applied to a {H}elicopter {UAV}}, url = {https://doi.org/10.2514/6.2004-4909}, year = 2004 }
  Link
  https://doi.org/10.2514/6.2004-4909
3. C. W. Scherer und C. W. J. Hol, Asymptotically Exact Relaxations for Robust LMI Problems based on Matrix-Valued Sum-of-Squares, in MTNS, Leuven, Belgium, 2004.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{SchHol04MTNS, address = {Leuven, Belgium}, author = {Scherer, C. W. and Hol, C. W. J.}, booktitle = {MTNS}, editor = {B. De Moor, B. Motmans}, endnotereftype = {Conference Proceedings}, file = {SchHol04MTNS.pdf::Djvu;SchHol04MTNS.pdf:Scherer\\SchHol04MTNS.pdf:PDF}, isbn = {90-5682-517-8}, shorttitle = {Asymptotically Exact Relaxations for Robust {LMI} Problems based on Matrix-Valued Sum-of-Squares}, title = {{A}symptotically {E}xact {R}elaxations for {R}obust {LMI} {P}roblems based on {M}atrix-{V}alued {S}um-of-{S}quares}, url = {http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.541.4097&rep=rep1&type=pdf}, year = 2004 }
  Link
  http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.541.4097&rep=rep1&type=pdf
4. C. W. Scherer, Review of book Matrix Riccati Equations in Control and Systems Theory, IEEE T. Automat. Contr., 2004.
  - BibTeX
  BibTeX
  @article{Sch04tac, author = {Scherer, C. W.}, endnotereftype = {Journal Article}, file = {Sch04tac.pdf}, journal = {IEEE T. Automat. Contr.}, number = 11, pages = {2094- 2095}, shorttitle = {Review of book "Matrix Riccati Equations in Control and Systems Theory"}, title = {{R}eview of book {M}atrix {R}iccati {E}quations in {C}ontrol and {S}ystems {T}heory}, volume = 49, year = 2004 }
5. C. W. Scherer, LMI relaxations in robust control (tutorial), in MTNS, Leuven, Belgium, 2004.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Sch04MTNS, address = {Leuven, Belgium}, author = {Scherer, C. W.}, booktitle = {MTNS}, editor = {B. De Moor, B. Motmans}, endnotereftype = {Conference Proceedings}, file = {Sch04MTNS.pdf::Djvu;HolSch04MTNS.pdf:HolSch04MTNS.pdf:PDF}, shorttitle = {{LMI} relaxations in robust control (tutorial)}, title = {{LMI} relaxations in robust control (tutorial)}, url = {http://www.math.ucsd.edu/~helton/MTNSHISTORY/CONTENTS/2004LEUVEN/CDROM/papers/363.pdf}, year = 2004 }
  Link
  http://www.math.ucsd.edu/~helton/MTNSHISTORY/CONTENTS/2004LEUVEN/CDROM/papers/363.pdf
6. S. Kanev, C. W. Scherer, M. Verhaegen, und B. De Schutter, Robust output-feedback controller design via local BMI optimization, Automatica, 2004.
  Zusammenfassung
  The problem of designing a globally optimal full-order output-feedback controller for polytopic uncertain systems is known to be a non-convex NP-hard optimization problem, that can be represented as a bilinear matrix inequality optimization problem for most design objectives. In this paper a new approach is proposed to the design of locally optimal controllers. It is iterative by nature, and starting from any initial feasible controller it performs local optimization over a suitably defined non-convex function at each iteration. The approach features the properties of computational efficiency, guaranteed convergence to a local optimum, and applicability to a very wide range of problems. Furthermore, a fast (but conservative) LMI-based procedure for computing an initially feasible controller is also presented. The complete approach is demonstrated on a model of one joint of a real-life space robotic manipulator. (C) 2004 Elsevier Ltd. All rights reserved.
  BibTeX
  @article{KanSch04a, abstract = {The problem of designing a globally optimal full-order output-feedback controller for polytopic uncertain systems is known to be a non-convex NP-hard optimization problem, that can be represented as a bilinear matrix inequality optimization problem for most design objectives. In this paper a new approach is proposed to the design of locally optimal controllers. It is iterative by nature, and starting from any initial feasible controller it performs local optimization over a suitably defined non-convex function at each iteration. The approach features the properties of computational efficiency, guaranteed convergence to a local optimum, and applicability to a very wide range of problems. Furthermore, a fast (but conservative) LMI-based procedure for computing an initially feasible controller is also presented. The complete approach is demonstrated on a model of one joint of a real-life space robotic manipulator. (C) 2004 Elsevier Ltd. All rights reserved.}, author = {Kanev, S. and Scherer, C. W. and Verhaegen, M. and De Schutter, B.}, endnotereftype = {Journal Article}, file = {<Go to ISI>://000221904200002}, issn = {0005-1098}, journal = {Automatica}, month = {07}, number = 7, pages = {1115-1127}, shorttitle = {Robust output-feedback controller design via local BMI optimization}, title = {{R}obust output-feedback controller design via local {BMI} optimization}, url = {https://doi.org/10.1016/j.automatica.2004.01.028}, volume = 40, year = 2004 }
  Link
  https://doi.org/10.1016/j.automatica.2004.01.028
7. C. W. J. Hol und C. W. Scherer, Fixed Order $H_ınfty$-synthesis: Computing Optimal Values by Robust Performance Analysis, in Proc. American Control Conf., Boston, Mass, 2004.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{HolSch04, address = {Boston, Mass}, author = {Hol, C. W. J. and Scherer, C. W.}, booktitle = {Proc. American Control Conf.}, editor = {Phillips, S.M.}, endnotereftype = {Conference Proceedings}, file = {HolSch04MTNS.pdf:HolSch04MTNS.pdf:PDF}, pages = {3285-3290}, shorttitle = {Fixed Order {$H_\infty$}-synthesis: Computing Optimal Values by Robust Performance Analysis}, title = {{F}ixed {O}rder {$H_\infty$}-synthesis: {C}omputing {O}ptimal {V}alues by {R}obust {P}erformance {A}nalysis}, url = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1384415}, year = 2004 }
  Link
  http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1384415
8. C. W. J. Hol und C. W. Scherer, Computing Optimal Fixed Order $H_ınfty$-synthesis Values by Matrix Sum of Squares Relaxations, in 43rd IEEE Conf. Decision and Control, Atlantis, Paradise Island, Bahamas, 2004.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Hol2004, address = {Atlantis, Paradise Island, Bahamas}, author = {Hol, C. W. J. and Scherer, C. W.}, booktitle = {43rd IEEE Conf. Decision and Control}, endnotereftype = {Conference Proceedings}, pages = {3147-3153}, shorttitle = {Computing Optimal Fixed Order ${H}_\infty$-synthesis Values by Matrix Sum of Squares Relaxations}, title = {{C}omputing {O}ptimal {F}ixed {O}rder ${H}_\infty$-synthesis {V}alues by {M}atrix {S}um of {S}quares {R}elaxations}, url = {https://doi.org/10.1109/CDC.2004.1428956}, year = 2004 }
  Link
  https://doi.org/10.1109/CDC.2004.1428956
9. C. W. J. Hol und C. W. Scherer, Sum of Squares Relaxations for Polynomial Semi-definite Programming, in MTNS, Leuven, Belgium, 2004.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{HolSch04MTNS, address = {Leuven, Belgium}, author = {Hol, C. W. J. and Scherer, C. W.}, booktitle = {MTNS}, editor = {B. De Moor, B. Motmans}, endnotereftype = {Conference Proceedings}, file = {HolSch04MTNS.pdf::Djvu;HolSch04MTNS.pdf:HolSch04MTNS.pdf:PDF}, isbn = {90-5682-517-8}, shorttitle = {Sum of Squares Relaxations for Polynomial Semi-definite Programming}, title = {{S}um of {S}quares {R}elaxations for {P}olynomial {S}emi-definite {P}rogramming}, url = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.497.1947}, year = 2004 }
  Link
  http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.497.1947
10. H. Chen und C. W. Scherer, An LMI based model predictive control scheme with guaranteed $H_ınfty$ performance and its application to active suspension, in Proc. American Control Conf., Boston, 2004.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{CheSch04, address = {Boston}, author = {Chen, H. and Scherer, C. W.}, booktitle = {Proc. American Control Conf.}, editor = {Phillips, S.M.}, endnotereftype = {Conference Proceedings}, file = {CheSch04.pdf::Djvu;CheSch04.pdf:CheSch04.pdf:PDF}, month = {08}, pages = {1487-1492}, shorttitle = {An LMI based model predictive control scheme with guaranteed {$H_\infty$} performance and its application to active suspension}, title = {{A}n {LMI} based model predictive control scheme with guaranteed {$H_\infty$} performance and its application to active suspension}, url = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1386786}, year = 2004 }
  Link
  http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1386786
2003
1. C. W. Scherer, Testing the Exactness of Convex Relaxations for Robust LMI Problems, in Proc. Appl. Math. Mech., 2003.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Sch03, author = {Scherer, C. W.}, booktitle = {Proc. Appl. Math. Mech.}, endnotereftype = {Conference Proceedings}, file = {Sch03.pdf:Sch03.pdf:PDF}, pages = {52-55}, publisher = {Wiley}, shorttitle = {Testing the Exactness of Convex Relaxations for Robust {LMI} Problems}, title = {{T}esting the {E}xactness of {C}onvex {R}elaxations for {R}obust {LMI} {P}roblems}, url = {https://doi.org/10.1002/pamm.200310314}, volume = 3, year = 2003 }
  Link
  https://doi.org/10.1002/pamm.200310314
2. C. W. Scherer, When are multiplier relaxations exact?, in 4th IFAC Symposium on Robust Control Design, Milano, Italy, 2003.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Sch03rocond, address = {Milano, Italy}, author = {Scherer, C. W.}, booktitle = {4th IFAC Symposium on Robust Control Design}, endnotereftype = {Conference Proceedings}, file = {scherer/sch03rocond.pdf}, shorttitle = {When are multiplier relaxations exact?}, title = {{W}hen are multiplier relaxations exact?}, url = {https://doi.org/10.1016/S1474-6670(17)35661-6}, year = 2003 }
  Link
  https://doi.org/10.1016/S1474-6670(17)35661-6
3. C. W. Scherer, Higher-Order Relaxations for Robust LMI Problems with Verifications for Exactness, in 42nd IEEE Conf. Decision and Control, Maui, Hawaii, 2003.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Sch03b, address = {Maui, Hawaii}, author = {Scherer, C. W.}, booktitle = {42nd IEEE Conf. Decision and Control}, endnotereftype = {Conference Proceedings}, pages = {4652-4657}, shorttitle = {Higher-Order Relaxations for Robust {LMI} Problems with Verifications for Exactness}, title = {{H}igher-{O}rder {R}elaxations for {R}obust {LMI} {P}roblems with {V}erifications for {E}xactness}, url = {https://doi.org/10.1109/CDC.2003.1272301}, year = 2003 }
  Link
  https://doi.org/10.1109/CDC.2003.1272301
4. G. P. Kiesmüller und C. W. Scherer, Computational issues in a stochastic finite horizon one product recovery inventory model, Eur. J. Oper. Res., 2003.
  - BibTeX
  - Link
  BibTeX
  @article{KieSch03, author = {Kiesm\"uller, G. P. and Scherer, C. W.}, endnotereftype = {Journal Article}, file = {KieSch03.pdf::Djvu;KieSch03.pdf:KieSch03.pdf:PDF}, journal = {Eur. J. Oper. Res.}, number = 3, pages = {553-579}, shorttitle = {Computational issues in a stochastic finite horizon one product recovery inventory model}, title = {{C}omputational issues in a stochastic finite horizon one product recovery inventory model}, url = {https://doi.org/10.1016/S0377-2217(02)00249-7}, volume = 146, year = 2003 }
  Link
  https://doi.org/10.1016/S0377-2217(02)00249-7
5. S. Kanev, C. W. Scherer, M. Verhaegen, und B. de Schutter, A BMI Optimization Approach to Robust Output-Feedback Control, in 42nd IEEE Conf. Decision and Control, Maui, Hawaii, 2003.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{KanSch03, address = {Maui, Hawaii}, author = {Kanev, S. and Scherer, C. W. and Verhaegen, M. and de Schutter, B.}, booktitle = {42nd IEEE Conf. Decision and Control}, endnotereftype = {Conference Proceedings}, file = {x:/Bibfiles/KanSch02.pdf}, pages = {851-856}, shorttitle = {A BMI Optimization Approach to Robust Output-Feedback Control}, title = {{A} {BMI} {O}ptimization {A}pproach to {R}obust {O}utput-{F}eedback {C}ontrol}, url = {https://doi.org/10.1109/CDC.2003.1272672}, year = 2003 }
  Link
  https://doi.org/10.1109/CDC.2003.1272672
6. C. W. J. Hol, C. W. Scherer, E. G. van der Mech/’e, und O. H. Bosgra, A Trust-Region Interior Point Approach to Fixed-Order Control applied to the Benchmark System, in Proceedings of International Workshop: Design and Optimisation of Restricted Complexity Controllers, Grenoble, France, 2003.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{HolSch03, address = {Grenoble, France}, author = {Hol, C. W. J. and Scherer, C. W. and Mech/'{e}, E.G. van der and Bosgra, O. H.}, booktitle = {Proceedings of International Workshop: Design and Optimisation of Restricted Complexity Controllers}, endnotereftype = {Conference Proceedings}, shorttitle = {A Trust-Region Interior Point Approach to Fixed-Order Control applied to the Benchmark System}, title = {{A} {T}rust-{R}egion {I}nterior {P}oint {A}pproach to {F}ixed-{O}rder {C}ontrol applied to the {B}enchmark {S}ystem}, url = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.569.3140}, year = 2003 }
  Link
  http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.569.3140
7. C. Hol, C. W. Scherer, E. van der Mech/’e, und O. H. Bosgra, A nonlinear SDP approach to fixed-order controller synthesis and comparison with two other methods applied to an active suspension system, Eur. J. Control, 2003.
  - BibTeX
  - Link
  BibTeX
  @article{Hol2003, author = {Hol, C. and Scherer, C. W. and Mech/'{e}, E. van der and Bosgra, O. H.}, endnotereftype = {Journal Article}, file = {HolSch03.pdf}, journal = {Eur. J. Control}, number = 1, pages = {13-28}, shorttitle = {A nonlinear SDP approach to fixed-order controller synthesis and comparison with two other methods applied to an active suspension system}, title = {{A} nonlinear {SDP} approach to fixed-order controller synthesis and comparison with two other methods applied to an active suspension system}, url = {https://doi.org/10.3166/ejc.9.13-28}, volume = 9, year = 2003 }
  Link
  https://doi.org/10.3166/ejc.9.13-28
8. S. Dietz, C. W. Scherer, G. Looye, und S. Bennani, Comparison of Different LMI Synthesis Techniques to Design a Flexible Aircraft Gust Response Control Law, in Proc. AIAA Guidance, Navigation and Control Conf., Austin, Texas, 2003.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{DieSchLoo03, address = {Austin, Texas}, author = {Dietz, S. and Scherer, Carsten W. and Looye, G. and Bennani, S.}, booktitle = {Proc. AIAA Guidance, Navigation and Control Conf.}, owner = {mst04}, title = {{C}omparison of {D}ifferent {LMI} {S}ynthesis {T}echniques to {D}esign a {F}lexible {A}ircraft {G}ust {R}esponse {C}ontrol {L}aw}, url = {https://doi.org/10.2514/6.2003-5418}, year = 2003 }
  Link
  https://doi.org/10.2514/6.2003-5418
9. T. Basar, P. P. Khargonekar, P. V. Kokotovic, und C. W. Scherer, Panel Discussion Witherto Robust Control, in 4th IFAC Symposium on Robust Control Design, Milano, Italy, 2003.
  - BibTeX
  BibTeX
  @inproceedings{panel03rocond, address = {Milano, Italy}, author = {Basar, T. and Khargonekar, P. P. and Kokotovic, P. V. and Scherer, C. W.}, booktitle = {4th IFAC Symposium on Robust Control Design}, endnotereftype = {Conference Proceedings}, file = {panel03rocond.PDF:Scherer/panel03rocond.PDF:PDF}, shorttitle = {Panel Discussion "Witherto Robust Control"}, title = {{P}anel {D}iscussion {W}itherto {R}obust {C}ontrol}, year = 2003 }
2002
1. C. W. Scherer, H. Chen, und F. Allgöwer, Disturbance attenuation with actuator constraints by hybrid state-feedback control, in 41st IEEE Conf. Decision and Control, Las Vegas, Nevada, USA, 2002.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{SchChe02, address = {Las Vegas, Nevada, USA}, author = {Scherer, C. W. and Chen, H. and Allg\"ower, F.}, booktitle = {41st IEEE Conf. Decision and Control}, endnotereftype = {Conference Proceedings}, file = {x:/Bibfiles/scherer/SchChe02.pdf:Djvu;SchChe02.pdf:Scherer/SchChe02.pdf:PDF}, pages = {4134-4139}, shorttitle = {Disturbance attenuation with actuator constraints by hybrid state-feedback control}, title = {{D}isturbance attenuation with actuator constraints by hybrid state-feedback control}, url = {https://doi.org/10.1109/CDC.2002.1185016}, year = 2002 }
  Link
  https://doi.org/10.1109/CDC.2002.1185016
2. C. W. Scherer, Robust $H_2$-controller design under structured noise uncertainty, in 15th IFAC World Congress, Barcelona, 2002.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Sch02ifac, address = {Barcelona}, author = {Scherer, C. W.}, booktitle = {15th IFAC World Congress}, endnotereftype = {Conference Proceedings}, file = {x:/Bibfiles/scherer/Sch02ifac.pdf}, pages = {6 pages}, shorttitle = {Robust H2-controller design under structured noise uncertainty}, title = {{R}obust ${H}_2$-controller design under structured noise uncertainty}, url = {https://doi.org/10.3182/20020721-6-ES-1901.00352}, year = 2002 }
  Link
  https://doi.org/10.3182/20020721-6-ES-1901.00352
3. C. W. Scherer, Structured finite-dimensional controller design by convex optimization, Linear Algebra Appl., 2002.
  - BibTeX
  - Link
  BibTeX
  @article{Sch02laa, author = {Scherer, C. W.}, endnotereftype = {Journal Article}, file = {Sch02laa.pdf:Scherer\\Sch02laa.pdf:PDF}, groups = {distributed}, journal = {Linear Algebra Appl.}, month = {08}, pages = {639-669}, shorttitle = {Structured finite-dimensional controller design by convex optimization}, title = {{S}tructured finite-dimensional controller design by convex optimization}, url = {https://doi.org/10.1016/S0024-3795(01)00512-2}, volume = {351-352}, year = 2002 }
  Link
  https://doi.org/10.1016/S0024-3795(01)00512-2
4. M. Dettori und C. W. Scherer, MIMO control design for a compact disk player with multiple norm specifications, IEEE T. Contr. Syst. T., 2002.
  - BibTeX
  - Link
  BibTeX
  @article{DetSch02, author = {Dettori, M. and Scherer, C. W.}, endnotereftype = {Journal Article}, file = {x:/Bibfiles/scherer/DetSch02.pdf:Djvu;DetSch02.pdf:Scherer\\DetSch02.pdf:PDF}, journal = {IEEE T. Contr. Syst. T.}, number = 5, pages = {635-645}, shorttitle = {MIMO control design for a compact disk player with multiple norm specifications}, title = {{MIMO} control design for a compact disk player with multiple norm specifications}, url = {https://doi.org/10.1109/TCST.2002.801806}, volume = 10, year = 2002 }
  Link
  https://doi.org/10.1109/TCST.2002.801806
2001
1. D. Van Hessem, C. W. Scherer, und O. H. Bosgra, LMI-based closed-loop economic optimization of stochastic process operation under state and input constraints, in 40th IEEE Conf. Decision and Control, Orlando, FL, 2001.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{HesSch01, address = {Orlando, FL}, author = {Van Hessem, D. and Scherer, C. W. and Bosgra, O. H.}, booktitle = {40th IEEE Conf. Decision and Control}, endnotereftype = {Conference Proceedings}, pages = {6 pages}, shorttitle = {{LMI}-based closed-loop economic optimization of stochastic process operation under state and input constraints}, title = {{LMI}-based closed-loop economic optimization of stochastic process operation under state and input constraints}, url = {https://doi.org/10.1109/.2001.980852}, year = 2001 }
  Link
  https://doi.org/10.1109/.2001.980852
2. C. W. Scherer, Multi-objective control without Youla parameterization, in Perspectives in Robust Control, S. O. R. Moheimani, Hrsg. London: Springer-Verlag, 2001.
  - BibTeX
  - Link
  BibTeX
  @incollection{Sch01c, address = {London}, author = {Scherer, Carsten W.}, booktitle = {Perspectives in Robust Control}, editor = {Moheimani, S. O. R.}, owner = {mst04}, pages = {311 - 325}, publisher = {Springer-Verlag}, title = {{M}ulti-objective control without {Y}oula parameterization}, url = {https://doi.org/10.1007/BFb0110628}, year = 2001 }
  Link
  https://doi.org/10.1007/BFb0110628
3. C. W. Scherer, On the design of structured controllers, in European Control Conf., Porto, Portugal, 2001.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Sch01a, address = {Porto, Portugal}, author = {Scherer, C. W.}, booktitle = {European Control Conf.}, endnotereftype = {Conference Proceedings}, pages = {6 pages}, shorttitle = {On the design of structured controllers}, title = {{O}n the design of structured controllers}, url = {http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=7076219}, year = 2001 }
  Link
  http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=7076219
4. C. W. Scherer, LPV Control and full block multipliers, Automatica, 2001.
  - BibTeX
  - Link
  BibTeX
  @article{Sch01, author = {Scherer, C. W.}, endnotereftype = {Journal Article}, file = {x:/Bibfiles/scherer/Sch01.pdf:Djvu;Sch01.pdf:People/Sch01.pdf:PDF}, journal = {Automatica}, pages = {361-375}, shorttitle = {{LPV} Control and Full Block Multipliers}, title = {{LPV} {C}ontrol and full block multipliers}, url = {https://doi.org/10.1016/S0005-1098(00)00176-X}, volume = 37, year = 2001 }
  Link
  https://doi.org/10.1016/S0005-1098(00)00176-X
5. M. Dettori und C. W. Scherer, LPV design for a CD player: an experimental evaluation of performance, in 40th IEEE Conf. Decision and Control, 2001.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{DetSch01, author = {Dettori, M and Scherer, C. W.}, booktitle = {40th IEEE Conf. Decision and Control}, endnotereftype = {Conference Proceedings}, pages = {6 pages}, shorttitle = {{LPV} design for a {CD} player: an experimental evaluation of performance}, title = {{LPV} design for a {CD} player: an experimental evaluation of performance}, url = {https://doi.org/10.1109/.2001.980950}, year = 2001 }
  Link
  https://doi.org/10.1109/.2001.980950
6. F. Allgöwer, S. Engell, F. Piwonka, C. W. Scherer, K. Schlacher, und H. Schuler, Methodische Perspektiven in der Automatisierungstechnik, aT. Autom., 2001.
  - BibTeX
  - Link
  BibTeX
  @article{AllEng01, author = {Allg\"ower, F. and Engell, S. and Piwonka, F. and Scherer, C. W. and Schlacher, K. and Schuler, H.}, endnotereftype = {Journal Article}, journal = {aT. Autom.}, pages = {7-9}, shorttitle = {Methodische Perspektiven in der Automatisierungstechnik}, title = {{M}ethodische {P}erspektiven in der {A}utomatisierungstechnik}, url = {https://doi.org/10.1524/auto.2001.49.1.007}, volume = 49, year = 2001 }
  Link
  https://doi.org/10.1524/auto.2001.49.1.007
2000
1. C. W. Scherer, Robust controller design by output feedback against uncertain stochastic disturbances, in 3rd IFAC Symposium on Robust Control Design, Prague, 2000.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Sch00rocond, address = {Prague}, author = {Scherer, C. W.}, booktitle = {3rd IFAC Symposium on Robust Control Design}, endnotereftype = {Conference Proceedings}, file = {x:/Bibfiles/scherer/sch00rocond.pdf:Djvu;Sch00rocond.pdf:Scherer\\Sch00rocond.pdf:PDF}, pages = {6 pages}, shorttitle = {Robust controller design by output feedback against uncertain stochastic disturbances}, title = {{R}obust controller design by output feedback against uncertain stochastic disturbances}, url = {https://doi.org/10.1016/S1474-6670(17)36270-5}, year = 2000 }
  Link
  https://doi.org/10.1016/S1474-6670(17)36270-5
2. C. W. Scherer, Review of Book $H_ınfty$ Control and Its Applications by Ben M. Chen, Automatica, 2000.
  - BibTeX
  BibTeX
  @article{Sch00, author = {Scherer, C. W.}, endnotereftype = {Journal Article}, file = {DetSch00.pdf:DetSch00.pdf:PDF}, journal = {Automatica}, pages = {1247-1248}, shorttitle = {Review of Book "$H_\infty$ Control and Its Applications" by Ben M. Chen}, title = {{R}eview of {B}ook ${H}_\infty$ {C}ontrol and {I}ts {A}pplications by {B}en {M}. {C}hen}, volume = 36, year = 2000 }
3. C. W. Scherer, An efficient solution to multi-objective control problems with LMI objectives, Syst. Contr. Letters, 2000.
  - BibTeX
  - Link
  BibTeX
  @article{Sch00a, author = {Scherer, C. W.}, endnotereftype = {Journal Article}, file = {Sch00scl.pdf:Scherer\\Sch00scl.pdf:PDF;Sch00scl.pdf:Scherer\\Sch00scl.pdf:PDF}, groups = {distributed}, journal = {Syst. Contr. Letters}, number = 1, pages = {43-57}, shorttitle = {An Efficient Solution to Multi-Objective Control Problems with {LMI} Objectives}, title = {{A}n efficient solution to multi-objective control problems with {LMI} objectives}, url = {https://doi.org/10.1016/S0167-6911(99)00122-X}, volume = 40, year = 2000 }
  Link
  https://doi.org/10.1016/S0167-6911(99)00122-X
4. C. W. Scherer, Robust Mixed Control and LPV Control with Full Block Scalings, in Advances in Linear Matrix Inequality Methods in Control, L. El~Ghaoui und S. I. Niculescu, Hrsg. Philadelphia: SIAM, 2000.
  - BibTeX
  - Link
  BibTeX
  @incollection{Sch00siam, address = {Philadelphia}, author = {Scherer, C. W.}, booktitle = {Advances in Linear Matrix Inequality Methods in Control}, editor = {{El~Ghaoui}, L. and Niculescu, S.I.}, endnotereftype = {Book Section}, file = {x:/Bibfiles/scherer/Sch00siam.ps:Djvu;Sch00siam.pdf:Scherer\\Sch00siam.pdf:PDF}, pages = {187-207}, publisher = {SIAM}, shorttitle = {Robust Mixed Control and {LPV} Control with Full Block Scalings}, title = {{R}obust {M}ixed {C}ontrol and {LPV} {C}ontrol with {F}ull {B}lock {S}calings}, url = {http://www.researchgate.net/publication/2577895_Robust_Mixed_Control_and_LPV_Control_with_Full_Block_Scalings}, year = 2000 }
  Link
  http://www.researchgate.net/publication/2577895_Robust_Mixed_Control_and_LPV_Control_with_Full_Block_Scalings
5. C. W. Scherer, Design of Structured Controllers with Applications, in 39th IEEE Conf. Decision and Control, Sydney, Australia, 2000.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Sch00cdc, address = {Sydney, Australia}, author = {Scherer, C. W.}, booktitle = {39th IEEE Conf. Decision and Control}, endnotereftype = {Conference Proceedings}, file = {scherer/sch00cdc.ps}, shorttitle = {Design of Structured Controllers with Applications}, title = {{D}esign of {S}tructured {C}ontrollers with {A}pplications}, url = {https://doi.org/10.1109/CDC.2001.914783}, year = 2000 }
  Link
  https://doi.org/10.1109/CDC.2001.914783
6. G. P. Kiesmüller und C. W. Scherer, Approximate Optimal Policies for a Stochastic Finite Horizon One Product Recovery Inventory Model, in Operations Research Proceedings 2000, 2000.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{KieSch00, author = {Kiesm\"uller, G. P. and Scherer, C. W.}, booktitle = {Operations Research Proceedings 2000}, editor = {Fleischmann, B. and Lasch, R. and Derigs, U. and Domschke, W. and Rieder, U.}, endnotereftype = {Conference Proceedings}, pages = {310-315}, shorttitle = {Approximate Optimal Policies for a Stochastic Finite Horizon One Product Recovery Inventory Model}, title = {{A}pproximate {O}ptimal {P}olicies for a {S}tochastic {F}inite {H}orizon {O}ne {P}roduct {R}ecovery {I}nventory {M}odel}, url = {https://doi.org/10.1007/978-3-642-56656-1_49}, year = 2000 }
  Link
  https://doi.org/10.1007/978-3-642-56656-1_49
7. B. G. Dijkstra, N. J. Rambaratsingh, O. H. Bosgra, M. Steinbuch, S. Kerssemakers, und C. W. Scherer, Input design for optimal discrete time point-to-point motion of an industrial xy-positioning table, in 39th IEEE Conf. Decision and Control, Sydney, Australia, 2000.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{DijRam00, address = {Sydney, Australia}, author = {Dijkstra, B. G. and Rambaratsingh, N. J. and Bosgra, O. H. and Steinbuch, M. and Kerssemakers, S. and Scherer, C. W.}, booktitle = {39th IEEE Conf. Decision and Control}, endnotereftype = {Conference Proceedings}, pages = {6 pages}, shorttitle = {Input design for optimal discrete time point-to-point motion of an industrial xy-positioning table}, title = {{I}nput design for optimal discrete time point-to-point motion of an industrial xy-positioning table}, url = {https://doi.org/10.1109/CDC.2000.912887}, year = 2000 }
  Link
  https://doi.org/10.1109/CDC.2000.912887
8. M. Dettori und C. W. Scherer, New robust stability and performance conditions based on parameter dependent multipliers, in 39th IEEE Conf. Decision and Control, Sydney, Australia, 2000.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{DetSch00, address = {Sydney, Australia}, author = {Dettori, M. and Scherer, C. W.}, booktitle = {39th IEEE Conf. Decision and Control}, endnotereftype = {Conference Proceedings}, file = {DetSch00.pdf:DetSch00.pdf:PDF}, pages = 6, shorttitle = {New robust stability and performance conditions based on parameter dependent multipliers}, title = {{N}ew robust stability and performance conditions based on parameter dependent multipliers}, url = {https://doi.org/10.1109/CDC.2001.914554}, year = 2000 }
  Link
  https://doi.org/10.1109/CDC.2001.914554
1999
1. C. W. Scherer, Lower Bounds in Multi-Objective $H_2/H_ınfty$ Problems, in 38th IEEE Conf. Decision and Control, Phoenix, Arizona, 1999.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Sch99b, address = {Phoenix, Arizona}, author = {Scherer, C. W.}, booktitle = {38th IEEE Conf. Decision and Control}, endnotereftype = {Conference Proceedings}, file = {x:/Bibfiles/Sch99b.pdf:Djvu;Sch99b.pdf:Scherer\\1990-1999\\Sch99b.pdf:PDF}, pages = {3605-3610}, shorttitle = {Lower Bounds in Multi-Objective {$H_2/H_\infty$} Problems}, title = {{L}ower {B}ounds in {M}ulti-{O}bjective {$H_2/H_\infty$} {P}roblems}, url = {https://doi.org/10.1109/CDC.1999.827912}, year = 1999 }
  Link
  https://doi.org/10.1109/CDC.1999.827912
2. C. W. Scherer, From Mixed to Multi-Objective Control, in 38th IEEE Conf. Decision and Control, Phoenix, Arizona, 1999.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Sch99a, address = {Phoenix, Arizona}, author = {Scherer, C. W.}, booktitle = {38th IEEE Conf. Decision and Control}, endnotereftype = {Conference Proceedings}, pages = {3621-3626}, shorttitle = {From Mixed to Multi-Objective Control}, title = {{F}rom {M}ixed to {M}ulti-{O}bjective {C}ontrol}, url = {https://doi.org/10.1109/CDC.1999.827915}, year = 1999 }
  Link
  https://doi.org/10.1109/CDC.1999.827915
3. M. Dettori und C. W. Scherer, Digital Implementation of a Mixed Objectives MIMO Controller for a Compact Disc Player Using a Multiprocessor System, in Proc. American Control Conf., San Diego, CA, 1999.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{DetSch99a, address = {San Diego, CA}, author = {Dettori, M. and Scherer, C. W.}, booktitle = {Proc. American Control Conf.}, endnotereftype = {Conference Proceedings}, pages = {3630-3634}, shorttitle = {Digital Implementation of a Mixed Objectives {MIMO} Controller for a Compact Disc Player Using a Multiprocessor System}, title = {{D}igital {I}mplementation of a {M}ixed {O}bjectives {MIMO} {C}ontroller for a {C}ompact {D}isc {P}layer {U}sing a {M}ultiprocessor {S}ystem}, url = {https://doi.org/10.1109/ACC.1999.782443}, year = 1999 }
  Link
  https://doi.org/10.1109/ACC.1999.782443
4. M. Dettori und C. W. Scherer, Design and Implementation of a Gain Scheduled Controller for a Compact Disc Player, in European Control Conf., Karlsruhe, Germany, 1999.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{DetSch99b, address = {Karlsruhe, Germany}, author = {Dettori, M. and Scherer, C. W.}, booktitle = {European Control Conf.}, endnotereftype = {Conference Proceedings}, pages = 6, shorttitle = {Design and Implementation of a Gain Scheduled Controller for a Compact Disc Player}, title = {{D}esign and {I}mplementation of a {G}ain {S}cheduled {C}ontroller for a {C}ompact {D}isc {P}layer}, url = {http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=7100045}, year = 1999 }
  Link
  http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=7100045
1998
1. C. W. Scherer, Robust Performance Analysis for Parameter Dependent Systems Using Tensor Product Splines, in 37th IEEE Conf. Decision and Control, Tampa, Fl, 1998.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Sch98cdc, address = {Tampa, Fl}, author = {Scherer, C. W.}, booktitle = {37th IEEE Conf. Decision and Control}, endnotereftype = {Conference Proceedings}, file = {x:/Bibfiles/scherer/Sch98cdc.ps}, pages = {2216-2221}, shorttitle = {Robust Performance Analysis for Parameter Dependent Systems Using Tensor Product Splines}, title = {{R}obust {P}erformance {A}nalysis for {P}arameter {D}ependent {S}ystems {U}sing {T}ensor {P}roduct {S}plines}, url = {https://doi.org/10.1109/CDC.1998.758672}, year = 1998 }
  Link
  https://doi.org/10.1109/CDC.1998.758672
2. M. Dettori und C. W. Scherer, Robust Stability Analysis for Parameter Dependent Systems Using Full Block S-Procedure, in 37th IEEE Conf. Decision and Control, Tampa, FL, 1998.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{DetSch98c, address = {Tampa, FL}, author = {Dettori, M. and Scherer, C. W.}, booktitle = {37th IEEE Conf. Decision and Control}, endnotereftype = {Conference Proceedings}, file = {/bibfiles/detsch98.pdf}, pages = {2798-2799}, shorttitle = {Robust Stability Analysis for Parameter Dependent Systems Using Full Block {S}-Procedure}, title = {{R}obust {S}tability {A}nalysis for {P}arameter {D}ependent {S}ystems {U}sing {F}ull {B}lock {S}-{P}rocedure}, url = {https://doi.org/10.1109/CDC.1998.757879}, year = 1998 }
  Link
  https://doi.org/10.1109/CDC.1998.757879
3. M. Dettori und C. W. Scherer, Gain Scheduling Control for a CD Player Mechanism Using LPV Techniques, in Proc. 6th IEEE Mediterranean Conference on Control and Systems, Alghero, Italy, 1998.
  - BibTeX
  BibTeX
  @inproceedings{DetSch98a, address = {Alghero, Italy}, author = {Dettori, M. and Scherer, C. W.}, booktitle = {Proc. 6th IEEE Mediterranean Conference on Control and Systems}, editor = {Tornambe, A. and Conte, G. and Perdon, A.M.}, endnotereftype = {Conference Proceedings}, pages = {385-390}, publisher = {World Scientific}, shorttitle = {Gain Scheduling Control for a {CD} Player Mechanism Using {LPV} Techniques}, title = {{G}ain {S}cheduling {C}ontrol for a {CD} {P}layer {M}echanism {U}sing {LPV} {T}echniques}, year = 1998 }
4. M. Dettori, C. W. Scherer, und V. Prodanovic, Mixed Objectives MIMO Control Design for a Compact Disc Player, in Proc. American Control Conf., Philadelphia, 1998.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{DetSch98b, address = {Philadelphia}, author = {Dettori, M and Scherer, C. W. and Prodanovic, V.}, booktitle = {Proc. American Control Conf.}, endnotereftype = {Conference Proceedings}, pages = {1284-1288}, shorttitle = {Mixed Objectives {MIMO} Control Design for a Compact Disc Player}, title = {{M}ixed {O}bjectives {MIMO} {C}ontrol {D}esign for a {C}ompact {D}isc {P}layer}, url = {https://doi.org/10.1109/ACC.1998.703621}, year = 1998 }
  Link
  https://doi.org/10.1109/ACC.1998.703621
5. H. Chen, C. W. Scherer, und F. Allgöwer, A Robust Model Predictive Control Scheme for Constrained Linear Systems, in 5th IFAC Symposium on Dynamics and Control of Process Systems, Corfu, Greece, 1998.
  - BibTeX
  BibTeX
  @inproceedings{CheSch98, address = {Corfu, Greece}, author = {Chen, H. and Scherer, C. W. and Allg\"ower, F.}, booktitle = {5th {IFAC} Symposium on Dynamics and Control of Process Systems}, editor = {Georgakis, C.}, endnotereftype = {Conference Proceedings}, pages = {60-65}, shorttitle = {A Robust Model Predictive Control Scheme for Constrained Linear Systems}, title = {{A} {R}obust {M}odel {P}redictive {C}ontrol {S}cheme for {C}onstrained {L}inear {S}ystems}, year = 1998 }
6. S. Bennani, D. M. C. Willemsen, und C. W. Scherer, Robust Control of Linear Parametrically Varying Systems with Bounded Rates, J. Guid. Control Dynam., 1998.
  - BibTeX
  - Link
  BibTeX
  @article{BenWil98, author = {Bennani, S. and Willemsen, D. M. C. and Scherer, C. W.}, endnotereftype = {Journal Article}, journal = {J. Guid. Control Dynam.}, pages = {916-922}, shorttitle = {Robust Control of Linear Parametrically Varying Systems with Bounded Rates}, title = {{R}obust {C}ontrol of {L}inear {P}arametrically {V}arying {S}ystems with {B}ounded {R}ates}, url = {https://doi.org/10.2514/2.4325}, volume = 21, year = 1998 }
  Link
  https://doi.org/10.2514/2.4325
1997
1. C. W. Scherer, P. Gahinet, und M. Chilali, Multi-objective output-feedback control via LMI optimization, IEEE T. Automat. Contr., 1997.
  - BibTeX
  - Link
  BibTeX
  @article{SchGah97, author = {Scherer, C. W. and Gahinet, P. and Chilali, M.}, endnotereftype = {Journal Article}, file = {x:/Bibfiles/scherer/SchGah97.pdf:Djvu;SchGah97.pdf:SchGah97.pdf:PDF}, journal = {IEEE T. Automat. Contr.}, pages = {896-911}, shorttitle = {Multi-objective output-feedback control via {LMI} optimization}, title = {{M}ulti-objective output-feedback control via {LMI} optimization}, url = {https://doi.org/10.1109/9.599969}, volume = 42, year = 1997 }
  Link
  https://doi.org/10.1109/9.599969
2. C. W. Scherer, S. Bennani, und E. Nijo, Parametrically Varying Flight Control System Design with Full Block Scalings, in 36th IEEE Conf. Decision and Control, San Diego, CA, 1997.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{SchBen97, address = {San Diego, CA}, author = {Scherer, C. W. and Bennani, S. and Nijo, E.}, booktitle = {36th IEEE Conf. Decision and Control}, endnotereftype = {Conference Proceedings}, pages = {1510-1515}, shorttitle = {Parametrically Varying Flight Control System Design with Full Block Scalings}, title = {{P}arametrically {V}arying {F}light {C}ontrol {S}ystem {D}esign with {F}ull {B}lock {S}calings}, url = {https://doi.org/10.1109/CDC.1997.657686}, year = 1997 }
  Link
  https://doi.org/10.1109/CDC.1997.657686
3. C. W. Scherer, A Full Block S-Procedure with Applications, in 36th IEEE Conf. Decision and Control, San Diego, CA, 1997.
  - BibTeX
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  BibTeX
  @inproceedings{Sch97cdc, address = {San Diego, CA}, author = {Scherer, C. W.}, booktitle = {36th IEEE Conf. Decision and Control}, endnotereftype = {Conference Proceedings}, file = {Sch97.ps}, pages = {1510-1515}, shorttitle = {A Full Block {S}-Procedure with Applications}, title = {{A} {F}ull {B}lock {S}-{P}rocedure with {A}pplications}, url = {https://doi.org/10.1109/CDC.1997.657769}, year = 1997 }
  Link
  https://doi.org/10.1109/CDC.1997.657769
4. C. W. Scherer, Positive definite solutions of the nonstrict Lyapunov inequality, in European Control Conf., Brussels, Belgium, 1997.
  - BibTeX
  BibTeX
  @inproceedings{Sch97ecc, address = {Brussels, Belgium}, author = {Scherer, C. W.}, booktitle = {European Control Conf.}, endnotereftype = {Conference Proceedings}, pages = 6, shorttitle = {Positive definite solutions of the nonstrict {L}yapunov inequality}, title = {{P}ositive definite solutions of the nonstrict {L}yapunov inequality}, year = 1997 }
5. C. W. Scherer, Lineare Matrixungleichungen in der Theorie der robusten Regelung, Automatisierungstechnik, 1997.
  - BibTeX
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  BibTeX
  @article{Sch97at, author = {Scherer, C. W.}, endnotereftype = {Journal Article}, journal = {Automatisierungstechnik}, pages = {306-318}, shorttitle = {{Lineare Matrixungleichungen in der Theorie der robusten Regelung}}, title = {{Lineare Matrixungleichungen in der Theorie der robusten Regelung}}, url = {https://doi.org/10.1524/auto.1997.45.7.306}, volume = 7, year = 1997 }
  Link
  https://doi.org/10.1524/auto.1997.45.7.306
6. H. Chen, C. W. Scherer, und F. Allgöwer, A game theoretic approach to nonlinear robust receding horizon control of constrained systems, in Proc. American Control Conf., Albuquerque, NM, 1997.
  - BibTeX
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  BibTeX
  @inproceedings{CheSchAll97, address = {Albuquerque, NM}, author = {Chen, H. and Scherer, Carsten W. and Allg\"ower, Frank}, booktitle = {Proc. American Control Conf.}, owner = {mst04}, pages = {3073-3077}, title = {{A} game theoretic approach to nonlinear robust receding horizon control of constrained systems}, url = {https://doi.org/10.1109/ACC.1997.612023}, year = 1997 }
  Link
  https://doi.org/10.1109/ACC.1997.612023
7. S. Bennani, G. Looye, und C. W. Scherer, $\mu$-synthesis, in Robust Flight Control: A Design Challenge, J. F. Magni, S. Bennani, und J. Terlouw, Hrsg. Berlin: Springer-Verlag, 1997.
  - BibTeX
  BibTeX
  @incollection{BenLooSch97, address = {Berlin}, author = {Bennani, S. and Looye, G. and Scherer, Carsten W.}, booktitle = {Robust Flight Control: A Design Challenge}, editor = {Magni, J. F. and Bennani, S. and Terlouw, J.}, owner = {mst04}, pages = {81 - 101}, publisher = {Springer-Verlag}, title = {$\mu$-synthesis}, year = 1997 }
1996
1. C. W. Scherer, Robust generalized $H_2$ control for uncertain and LPV systems with general scalings, in 35th IEEE Conf. Decision and Control, Kobe, Japan, 1996.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Sch96cdc, address = {Kobe, Japan}, author = {Scherer, C. W.}, booktitle = {35th IEEE Conf. Decision and Control}, endnotereftype = {Conference Proceedings}, file = {Sch96cdc.pdf::Djvu;Sch96cdc.pdf:Scherer\\1990-1999\\Sch96cdc.pdf:PDF}, pages = {3970-3975}, shorttitle = {Robust generalized {$H_2$} control for uncertain and {LPV} systems with general scalings}, title = {{R}obust generalized {$H_2$} control for uncertain and {LPV} systems with general scalings}, url = {https://doi.org/10.1109/CDC.1996.577324}, year = 1996 }
  Link
  https://doi.org/10.1109/CDC.1996.577324
2. C. W. Scherer, Mixed $H_2/H_ınfty$ control for time-varying and linear parametrically-varying systems, Int. J. Robust Nonlin., 1996.
  - BibTeX
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  BibTeX
  @article{Sch96, author = {Scherer, C. W.}, endnotereftype = {Journal Article}, file = {Sch96cdc.pdf:Scherer\\1990-1999\\Sch96cdc.pdf:PDF}, journal = {Int. J. Robust Nonlin.}, pages = {929-952}, shorttitle = {Mixed {$H_2/H_\infty$} control for time-varying and linear parametrically-varying systems}, title = {{M}ixed {$H_2/H_\infty$} control for time-varying and linear parametrically-varying systems}, url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/(SICI)1099-1239(199611)6:9/10%3C929::AID-RNC260%3E3.0.CO;2-9}, volume = 6, year = 1996 }
  Link
  https://onlinelibrary.wiley.com/doi/abs/10.1002/(SICI)1099-1239(199611)6:9/10%3C929::AID-RNC260%3E3.0.CO;2-9
3. P. Gahinet, M. Chilali, und C. W. Scherer, Multi-objective output-feedback Control, in 13th IFAC World Congress, San Francisco, CA, 1996.
  - BibTeX
  BibTeX
  @inproceedings{GahChi96, address = {San Francisco, CA}, author = {Gahinet, P. and Chilali, M. and Scherer, C. W.}, booktitle = {13th IFAC World Congress}, endnotereftype = {Conference Proceedings}, pages = {249-254}, shorttitle = {Multi-objective output-feedback Control}, title = {{M}ulti-objective output-feedback {C}ontrol}, year = 1996 }
1995
1. C. W. Scherer, Multiobjective $H_2/H_ınfty$ control, IEEE T. Automat. Contr., 1995.
  - BibTeX
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  BibTeX
  @article{Sch95mul, author = {Scherer, C. W.}, endnotereftype = {Journal Article}, file = {scherer/Sch95tac.pdf}, journal = {IEEE T. Automat. Contr.}, pages = {1054-1062}, shorttitle = {Multiobjective {$H_2/H_\infty$} control}, title = {{M}ultiobjective {$H_2/H_\infty$} control}, url = {https://doi.org/10.1109/9.388682}, volume = 40, year = 1995 }
  Link
  https://doi.org/10.1109/9.388682
2. C. W. Scherer, The general nonstrict algebraic Riccati inequality, Linear Algebra Appl., 1995.
  - BibTeX
  - Link
  BibTeX
  @article{Sch95laa, author = {Scherer, C. W.}, endnotereftype = {Journal Article}, file = {sch95.pdf}, journal = {Linear Algebra Appl.}, pages = {1-33}, shorttitle = {The general nonstrict algebraic {Riccati} inequality}, title = {{T}he general nonstrict algebraic {Riccati} inequality}, url = {https://doi.org/10.1016/0024-3795(93)00175-Y}, volume = 219, year = 1995 }
  Link
  https://doi.org/10.1016/0024-3795(93)00175-Y
3. C. W. Scherer, Mixed $H_2/H_ınfty$ control for linear parametrically-varying systems, in 34th IEEE Conf. Decision and Control, New Orleans, LO, 1995.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Sch95cdc, address = {New Orleans, LO}, author = {Scherer, C. W.}, booktitle = {34th IEEE Conf. Decision and Control}, endnotereftype = {Conference Proceedings}, pages = {3182-3187}, shorttitle = {Mixed {$H_2/H_\infty$} control for linear parametrically-varying systems}, title = {{M}ixed {$H_2/H_\infty$} control for linear parametrically-varying systems}, url = {https://doi.org/10.1109/CDC.1995.478637}, year = 1995 }
  Link
  https://doi.org/10.1109/CDC.1995.478637
4. C. W. Scherer, The algebraic Riccati equation and inequality for systems with uncontrollable modes on the imaginary axis, SIAM J. Matrix Anal. A., 1995.
  - BibTeX
  - Link
  BibTeX
  @article{Sch95simax, author = {Scherer, C. W.}, endnotereftype = {Journal Article}, file = {scherer/Sch95simax.ps::Djvu;Sch95simax.pdf:Scherer/1990-1999/Sch95simax.pdf:PDF}, journal = {SIAM J. Matrix Anal. A.}, number = 4, pages = {1308-1327}, shorttitle = {The algebraic {Riccati} equation and inequality for systems with uncontrollable modes on the imaginary axis}, title = {{T}he algebraic {Riccati} equation and inequality for systems with uncontrollable modes on the imaginary axis}, url = {https://doi.org/10.1137/S0895479892234776}, volume = 16, year = 1995 }
  Link
  https://doi.org/10.1137/S0895479892234776
5. C. W. Scherer, A complete algebraic solvability test for the nonstrict Lyapunov inequality, Syst. Contr. Letters, 1995.
  - BibTeX
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  BibTeX
  @article{Sch95scl, author = {Scherer, C. W.}, endnotereftype = {Journal Article}, file = {Sch95scl.pdf:Scherer\\Sch95scl.pdf:PDF}, groups = {distributed}, journal = {Syst. Contr. Letters}, pages = {327-335}, shorttitle = {A complete algebraic solvability test for the nonstrict {L}yapunov inequality}, title = {{A} complete algebraic solvability test for the nonstrict {L}yapunov inequality}, url = {https://doi.org/10.1016/0167-6911(94)00091-9}, volume = 25, year = 1995 }
  Link
  https://doi.org/10.1016/0167-6911(94)00091-9
6. C. W. Scherer, Mixed $H_2/H_ınfty$ control, in Trends in Control, A European Prospective, A. Isidori, Hrsg. New York: Springer-Verlag, 1995.
  - BibTeX
  - Link
  BibTeX
  @incollection{Sch95mix, address = {New York}, author = {Scherer, C. W.}, booktitle = {Trends in Control, A European Prospective}, editor = {Isidori, A.}, endnotereftype = {Book Section}, file = {x:/bibfile/Sch95mix.pdf:Djvu;Sch95mix.pdf:Scherer\\1990-1999\\Sch95mix.pdf:PDF}, pages = {173-216}, publisher = {Springer-Verlag}, shorttitle = {Mixed {$H_2/H_\infty$} control}, title = {{M}ixed {$H_2/H_\infty$} control}, url = {https://pdfs.semanticscholar.org/c2e6/ec87bfb2dcf0b530a5cf78f9c4e6cdc7dc1a.pdf}, year = 1995 }
  Link
  https://pdfs.semanticscholar.org/c2e6/ec87bfb2dcf0b530a5cf78f9c4e6cdc7dc1a.pdf
1994
1. C. W. Scherer, Algebraic solvability tests for the nonstrict Lyapunov inequality, in 33rd IEEE Conf. Decision and Control, Orlando, FL, 1994.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Sch94cdc, address = {Orlando, FL}, author = {Scherer, C. W.}, booktitle = {33rd IEEE Conf. Decision and Control}, endnotereftype = {Conference Proceedings}, pages = {1505-1510}, shorttitle = {Algebraic solvability tests for the nonstrict {L}yapunov inequality}, title = {{A}lgebraic solvability tests for the nonstrict {L}yapunov inequality}, url = {https://doi.org/10.1109/CDC.1994.411232}, year = 1994 }
  Link
  https://doi.org/10.1109/CDC.1994.411232
2. C. W. Scherer, The state-feedback $H_ınfty$-problem at optimality, Automatica, 1994.
  - BibTeX
  - Link
  BibTeX
  @article{Sch94, author = {Scherer, C. W.}, endnotereftype = {Journal Article}, journal = {Automatica}, number = 2, pages = {293-305}, shorttitle = {The state-feedback {$H_\infty$}-problem at optimality}, title = {{T}he state-feedback {$H_\infty$}-problem at optimality}, url = {https://doi.org/10.1016/0005-1098(94)90031-0}, volume = 30, year = 1994 }
  Link
  https://doi.org/10.1016/0005-1098(94)90031-0
3. C. W. Scherer, The nonstrict algebraic Riccati inequality, in MTNS, Regensburg, Germany, 1994.
  - BibTeX
  BibTeX
  @inproceedings{Sch94mtns, address = {Regensburg, Germany}, author = {Scherer, C. W.}, booktitle = {MTNS}, endnotereftype = {Conference Proceedings}, pages = {461-464}, shorttitle = {The nonstrict algebraic {Riccati} inequality}, title = {{T}he nonstrict algebraic {Riccati} inequality}, year = 1994 }
1993
1. C. W. Scherer, Algebraic solvability tests for linear matrix inequalities, in 32nd IEEE Conf. Decision and Control, San Antonio, TX, 1993.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Sch93cdc, address = {San Antonio, TX}, author = {Scherer, C. W.}, booktitle = {32nd IEEE Conf. Decision and Control}, endnotereftype = {Conference Proceedings}, pages = {349-354}, shorttitle = {Algebraic solvability tests for linear matrix inequalities}, title = {{A}lgebraic solvability tests for linear matrix inequalities}, url = {https://doi.org/10.1109/CDC.1993.325133}, year = 1993 }
  Link
  https://doi.org/10.1109/CDC.1993.325133
2. C. W. Scherer, The parametrization of static state-feedback $H_ınfty$-controllers, in European Control Conf., Groningen, The Netherlands, 1993.
  - BibTeX
  - Link
  BibTeX
  @inproceedings{Sch93ecc, address = {Groningen, The Netherlands}, author = {Scherer, C. W.}, booktitle = {European Control Conf.}, endnotereftype = {Conference Proceedings}, pages = {1166-1170}, shorttitle = {The parametrization of static state-feedback {$H_\infty$}-controllers}, title = {{T}he parametrization of static state-feedback {$H_\infty$}-controllers}, url = {https://books.google.ch/books?hl=de&id=Xk31H4QaTHUC&q=scherer#v=snippet&q=scherer&f=false}, year = 1993 }
  Link
  https://books.google.ch/books?hl=de&id=Xk31H4QaTHUC&q=scherer#v=snippet&q=scherer&f=false
1992
1. C. W. Scherer, $H_ınfty$-optimization without assumptions on finite or infinite zeros, SIAM J. Contr. Optim., 1992.
  - BibTeX
  - Link
  BibTeX
  @article{Sch92sicon2, author = {Scherer, C. W.}, endnotereftype = {Journal Article}, journal = {SIAM J. Contr. Optim.}, pages = {143-166}, shorttitle = {{$H_\infty$}-optimization without assumptions on finite or infinite zeros}, title = {{$H_\infty$}-optimization without assumptions on finite or infinite zeros}, url = {https://doi.org/10.1137/0330010}, volume = 30, year = 1992 }
  Link
  https://doi.org/10.1137/0330010
2. C. W. Scherer, $H_ınfty$-control by state-feedback for plants with zeros on the imaginary axis, SIAM J. Contr. Optim., 1992.
  - BibTeX
  - Link
  BibTeX
  @article{Sch92sicon1, author = {Scherer, C. W.}, endnotereftype = {Journal Article}, journal = {SIAM J. Contr. Optim.}, pages = {123-142}, shorttitle = {{$H_\infty$}-control by state-feedback for plants with zeros on the imaginary axis}, title = {{$H_\infty$}-control by state-feedback for plants with zeros on the imaginary axis}, url = {https://doi.org/10.1137/0330009}, volume = 30, year = 1992 }
  Link
  https://doi.org/10.1137/0330009
1991
1. C. W. Scherer, The solution set of the algebraic Riccati equation and the algebraic Riccati inequality, Linear Algebra Appl., 1991.
  - BibTeX
  - Link
  BibTeX
  @article{Sch91, author = {Scherer, C. W.}, endnotereftype = {Journal Article}, file = {sch91b.pdf::Djvu;Sch91.pdf:Scherer\\1990-1999\\Sch91.pdf:PDF}, journal = {Linear Algebra Appl.}, pages = {99-122}, shorttitle = {The solution set of the algebraic {Riccati} equation and the algebraic {Riccati} inequality}, title = {{T}he solution set of the algebraic {Riccati} equation and the algebraic {Riccati} inequality}, url = {https://doi.org/10.1016/0024-3795(91)90213-G}, volume = 153, year = 1991 }
  Link
  https://doi.org/10.1016/0024-3795(91)90213-G
1990
1. C. W. Scherer, The Riccati inequality and state-space H∞-optimal control., Julius Maximilians University Würzburg, Germany, 1990.
  - BibTeX
  BibTeX
  @phdthesis{phd/dnb/Scherer90, author = {Scherer, Carsten W.}, ee = {http://d-nb.info/920190421}, pages = {1-263}, school = {Julius Maximilians University Würzburg, Germany}, title = {The Riccati inequality and state-space H∞-optimal control.}, year = 1990 }
2. C. W. Scherer, $H_ınfty$-control by state-feedback and fast algorithms for the computation of optimal $H_ınfty$-norms, IEEE T. Automat. Contr., 1990.
  - BibTeX
  - Link
  BibTeX
  @article{Sch90, author = {Scherer, C. W.}, endnotereftype = {Journal Article}, file = {Sch90.pdf:Scherer\\1990-1999\\Sch90.pdf:PDF}, journal = {IEEE T. Automat. Contr.}, number = 10, pages = {1090-1099}, shorttitle = {{$H_\infty$}-control by state-feedback and fast algorithms for the computation of optimal {$H_\infty$}-norms}, title = {{$H_\infty$}-control by state-feedback and fast algorithms for the computation of optimal {$H_\infty$}-norms}, url = {https://doi.org/10.1109/9.58551}, volume = 35, year = 1990 }
  Link
  https://doi.org/10.1109/9.58551
1989
1. C. W. Scherer, $H_ınfty$-control by state-feedback: an iterative algorithm and characterization of high-gain occurrence, Syst. Control Lett., 1989.
  - BibTeX
  - Link
  BibTeX
  @article{Sch89, author = {Scherer, C. W.}, endnotereftype = {Journal Article}, journal = {Syst. Control Lett.}, pages = {383--391}, shorttitle = {{$H_\infty$}-control by state-feedback: an iterative algorithm and characterization of high-gain occurrence}, title = {{$H_\infty$}-control by state-feedback: an iterative algorithm and characterization of high-gain occurrence}, url = {https://doi.org/10.1016/0167-6911(89)90074-1}, volume = {12 (5)}, year = 1989 }
  Link
  https://doi.org/10.1016/0167-6911(89)90074-1
1988
1. C. W. Scherer, Almost disturbance decoupling with stability by dynamic output feedback: A sufficient condition, Syst. Control Lett., 1988.
  - BibTeX
  BibTeX
  @article{Sch88, author = {Scherer, C. W.}, endnotereftype = {Journal Article}, journal = {Syst. Control Lett.}, pages = {291-299}, shorttitle = {Almost disturbance decoupling with stability by dynamic output feedback: A sufficient condition}, title = {{A}lmost disturbance decoupling with stability by dynamic output feedback: {A} sufficient condition}, volume = 10, year = 1988 }

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Prof. Dr. Carsten Scherer hat am 1. März 2010 den durch das Exzellenzcluster Simulation Technology neu eingerichteten Lehrstuhl für Mathematische Systemtheorie übernommen. Dieser Lehrstuhl ist dem Institut für Mathematische Methoden in den Ingenieurwissenschaften, Numerik und geometrische Modellierung innerhalb der Fakultät für Mathematik und Physik zugeordnet.

Carsten Scherer studierte von 1982 bis 1987 Mathematik an der Universität Würzburg. Während seiner Tätigkeit als wissenschaftlicher Mitarbeiter am Mathematischen Institut der Universität Würzburg von 1988-1993 promovierte er im Jahre 1991 über ein Thema der Kontrolltheorie. Nach einem einjährigen post-doc Aufenthalt in den USA (University of Michigan und Washington University) erhielt er 1993 einen Ruf auf eine Assistenzprofessur an der Fakultät für Maschinenbau der Universität Delft in den Niederlanden. Nach einer Gastdozentur an der ETH Zürich im Jahre 1999 wurde er 2001 zum Antoni van Leeuwenhoek Professor an der Universität Delft ernannt und hat dort zum Aufbau des Delft Center‘s for Systems and Control beigetragen.

Bücher und Lecture Notes

Control of Linear Parameter Varying Systems with Applications
Javad Mohammadpour and Carsten W. Scherer (Eds.), 2012

Model Based Control: Bridging Rigorous Theory and Advanced Technology
Paul M.J. van den Hof, Carsten W. Scherer and Peter S.C. Heuberger (Eds.), 2009

Linear Matrix Inequalities in Control
Carsten W. Scherer and Siep Weiland, Version 2015

Theory of Robust Control
Carsten W. Scherer

Carsten W. Scherer

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