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Robust H∞ static output feedback stabilization of T-S fuzzy systems subject to actuator saturation

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 invar...

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Bibliographic Details
Published in:International journal of control, automation, and systems 2012, Automation, and Systems, 10(3), , pp.613-622
Main Authors: Saifia, Dounia, Chadli, Mohammed, Labiod, Salim, Guerra, Thierry Marie
Format: Article
Language:English
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Summary: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.
ISSN:1598-6446
2005-4092
DOI:10.1007/s12555-012-0319-3