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Robust H∞ Static Output Feedback Stabilization of T-S Fuzzy Systems Subject to Actuator Saturation

Dounia Saifia, Mohammed Chadli*, Salim Labiod, and Thierry Marie Guerra
International Journal of Control, Automation, and Systems, vol. 10, no. 3, pp.613-622, 2012

Abstract : This paper proposes a method for designing robust H∞ static output feedback stabilization of Takagi-Sugeno (T-S) fuzzy systems under actuator saturation. In this paper, the input saturation is represented by a polytopic model and the modeling error is assumed a norm-bounded uncertainty. A set invariance condition for robust H∞ static output feedback system under actuator saturation is first established. Then, the estimation of the largest domain of attraction for the system is formulated and solved as a Linear Matrix Inequality (LMI) optimization problem. Two examples are used to demonstrate the ef-fectiveness of the proposed design method.

Keyword : Actuator saturation, H∞ static output-feedback stabilization, Takagi-Sugeno (T-S) fuzzy system, uncertainties.

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