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Robust H ∞ static output‐feedback control for discrete‐time fuzzy systems with actuator saturation via fuzzy Lyapunov functions

Abstract : In this paper, we present a new scheme for designing a H∞ stabilizing controller for discrete-time Takagi-Sugeno fuzzy systems with actuator saturation and external disturbances. The weighting-dependent Lyapunov functions approach is used to design a robust static output-feedback controller. To address the input saturation problem, both constrained and saturated control input cases are considered. In both cases, stabilization conditions of the fuzzy system are formulated as a convex optimization problem in terms of linear matrix inequalities. Two simulation examples are included to illustrate the effectiveness of the proposed design methods. A comparison with the results given in recent literature on the subject is also presented.
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https://hal-uphf.archives-ouvertes.fr/hal-03424498
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Submitted on : Wednesday, November 10, 2021 - 3:26:07 PM
Last modification on : Thursday, November 11, 2021 - 4:00:03 AM

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Dounia Saifia, Mohammed Chadli, Salim Labiod, Thierry-Marie Guerra. Robust H ∞ static output‐feedback control for discrete‐time fuzzy systems with actuator saturation via fuzzy Lyapunov functions. Asian Journal of Control, Asian Control Association (ACA) and Chinese Automatic Control Society (CACS) 2020, 22 (2), pp.611-623. ⟨10.1002/asjc.1987⟩. ⟨hal-03424498⟩

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