- Abstract: This work presents an algorithm that, given a piecewise affine (PWA) model, derives an equivalent PWA model that is minimal in the number of regions.Learn more:Abstract: This work presents an algorithm that, given a piecewise affine (PWA) model, derives an equivalent PWA model that is minimal in the number of regions.ieeexplore.ieee.org/document/1386734Firstly, the paper presents two computationally attractive algorithms for optimal complexity reduction that, under the assumption that the system is defined over the cells of a hyperplane arrangement, derive an equivalent polyhedral piecewise system that is minimal in the number of polyhedra.www.sciencedirect.com/science/article/pii/S000510…This paper presents a systematic procedure to partition the state-space of piecewise affine (PWA) systems into qualitatively distinct regions. As a consequence, we ob- tain a moderately large set of partitions that characterises the hybrid dynamics of the PWA system.www.academia.edu/680108/Optimal_Complexity_…
Optimal complexity reduction of piecewise affine models based on ...
Jun 30, 2004 · This work presents an algorithm that, given a piecewise affine (PWA) model, derives an equivalent PWA model that is minimal in the number of regions. The algorithm is …
Optimal Complexity Reduction of Piecewise Afne Models based on Hyperplane Arrangements Tobias Geyer, Fabio D. Torrisi and Manfred Morari AbstractŠThis paper presents an algorithm …
Optimal complexity reduction of polyhedral piecewise affine systems
Jul 1, 2008 · Firstly, the paper presents two computationally attractive algorithms for optimal complexity reduction that, under the assumption that the system is defined over the cells of a …
- Author: Tobias Geyer, Fabio D. Torrisi, Manfred Morari
- Publish Year: 2008
Optimal complexity reduction of piecewise affine models based on ...
Jan 1, 2004 · In this paper we address these issues by solving a constrained optimal control problem formulated for the discrete-time piecewise affine (PWA) model of the throttle.
- Estimated Reading Time: 10 mins
Firstly, the paper presents two computationally attractive algorithms for optimal complexity reduction that, under the assumption that the system is defined over the cells of a hyperplane …
Optimal complexity reduction of piecewise affine models based on ...
An algorithm is presented that, given a piecewise affine (PWA) model, derives an equivalent PWA model that is minimal in the number of regions and can be extended to derive minimal PWA …
(PDF) Complexity Reduction in Piecewise Affine Models
In this paper we present an approach to reduce the on-line computations by using an algorithm that solves off-line a controllability problem with respect to an invariant target set. The …
Polynomial Approximation of Closed-form MPC for Piecewise …
Jan 1, 2008 · T. Geyer, F. D. Torrisi, and M. Morari. Optimal Complexity Reduction of Piecewise Affine Models Based on Hyperplane Arrangements. In Proc. on the American Control …
Optimal complexity reduction of polyhedral piecewise affine …
Jul 1, 2008 · Firstly, the paper presents two computationally attractive algorithms for optimal complexity reduction that, under the assumption that the system is defined over the cells of a …
Optimal complexity reduction of piecewise affine models based on ...
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"Optimal complexity reduction of piecewise affine models based …
Bibliographic details on Optimal complexity reduction of piecewise affine models based on hyperplane arrangements.
Optimal complexity reduction of polyhedral piecewise affine systems
This paper presents a novel approach to derive a minimal representation of a given PWA system through optimal complexity reduction (OCR). The research emphasizes utilizing cells and …
Optimal complexity reduction of polyhedral piecewise affine systems
Jul 1, 2008 · Firstly, the paper presents two computationally attractive algorithms for optimal complexity reduction that, under the assumption that the system is defined over the cells of a …
Arrangement of four hyperplanes (lines) in R 2 with the markings.
Efficient conversion tools are available to transform MLD models into piecewise affine (PWA) models, using the mode enumeration algorithm presented in [12]... Hybrid modelling and …
Optimal complexity reduction of piecewise affine models based on ...
Optimal complexity reduction of piecewise affine models based on hyperplane arrangements. In Proceedings of the 2004 American Control Conference, ACC 2004, Boston, MA, USA, June …
Optimal complexity reduction of polyhedral piecewise affine systems
Firstly, the paper presents two computationally attractive algorithms for optimal complexity reduction that, under the assumption that the system is defined over the cells of a hyperplane …
Non-convex Region Description by Hyperplane Arrangements
An algorithm is presented that, given a piecewise affine (PWA) model, derives an equivalent PWA model that is minimal in the number of regions and can be extended to derive minimal PWA …
Optimal complexity reduction of polyhedral piecewise affine
This paper focuses on the NP-hard problem of reducing the complexity of piecewise polyhedral systems (e.g. polyhedral piecewise affine (PWA) systems). The results are fourfold.
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