Robust H
∞ static output feedback stabilization of T-S fuzzy systems subject to actuator saturation |
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Authors: | Dounia Saifia Mohammed Chadli Salim Labiod Thierry Marie Guerra |
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Affiliation: | 1. Faculty of Science and Technology, University of Jijel LAMEL, BP. 98, Ouled Aissa, Jijel, 18000, Algeria 2. MIS (EA 4290), University of Picardie Jules Verne, 7, Rue du Moulin Neuf, 80000, Amiens, France 3. LAMIH, UMR CNRS 8530, Universit?? de Valenciennes et du Hainaut-Cambr??sis, Le Mont-Houy, 59313, Valenciennes cedex 9, France
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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 effectiveness of the proposed design method. |
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