Adaptive/self-tuning PID control by frequency loop-shaping

E Grassi, KS Tsakalis, S Dash… - Proceedings of the …, 2000 - ieeexplore.ieee.org
E Grassi, KS Tsakalis, S Dash, SV Gaikwad, G Stein
Proceedings of the 39th IEEE Conference on Decision and Control …, 2000ieeexplore.ieee.org
Addresses issues arising in the online adaptation of PID controller parameters. With
frequency loop-shaping principles as the underlying controller design approach, the PID
parameter adaptation can be performed directly by minimizing a suitable estimation error
with standard least-squares algorithms. A variant of such an algorithm is also proposed in an
effort to approximate the minimization of the H-infinity norm of the error operator. A numerical
example is used to illustrate the implementation of the algorithm.
Addresses issues arising in the online adaptation of PID controller parameters. With frequency loop-shaping principles as the underlying controller design approach, the PID parameter adaptation can be performed directly by minimizing a suitable estimation error with standard least-squares algorithms. A variant of such an algorithm is also proposed in an effort to approximate the minimization of the H-infinity norm of the error operator. A numerical example is used to illustrate the implementation of the algorithm.
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