Robust control for continuous LPV system with restricted-model-based control

S Maalej, A Kruszewski, L Belkoura - Circuits, Systems, and Signal …, 2017 - Springer
Circuits, Systems, and Signal Processing, 2017Springer
This paper deals with the robust stabilization of a class of linear parameter varying systems
in the continuous control case. Instead of using a state observer or searching for a dynamic
output feedback, the considered controller is based on output derivative estimation. This
allows the stabilization of the plant with very large parameter variation or uncertainties. The
robustness of such controller, for any all-poles single-input/single-output system, is provided
for second-and third-order plants. The proof of stability is based on the polytopic …
Abstract
This paper deals with the robust stabilization of a class of linear parameter varying systems in the continuous control case. Instead of using a state observer or searching for a dynamic output feedback, the considered controller is based on output derivative estimation. This allows the stabilization of the plant with very large parameter variation or uncertainties. The robustness of such controller, for any all-poles single-input/single-output system, is provided for second- and third-order plants. The proof of stability is based on the polytopic representation of the closed loop under Lyapunov conditions and system transformations. The result is a control structure with only one parameter tuned via very simple conditions.
Springer
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