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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Published inInternational journal of control, automation, and systems Vol. 10; no. 3; pp. 613 - 622
Main Authors Saifia, Dounia, Chadli, Mohammed, Labiod, Salim, Guerra, Thierry Marie
Format Journal Article
LanguageEnglish
Published Heidelberg Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers 01.06.2012
제어·로봇·시스템학회
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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.
AbstractList 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. KCI Citation Count: 43
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.
Author Labiod, Salim
Saifia, Dounia
Guerra, Thierry Marie
Chadli, Mohammed
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  givenname: Mohammed
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  givenname: Thierry Marie
  surname: Guerra
  fullname: Guerra, Thierry Marie
  organization: LAMIH, UMR CNRS 8530, Université de Valenciennes et du Hainaut-Cambrésis
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static output-feedback stabilization
Takagi-Sugeno (T-S) fuzzy system
uncertainties
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Snippet 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 proposes a method for designing robust H∞ static output feedback stabilization of Takagi-Sugeno (T-S) fuzzy systems under actuator saturation. In...
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SubjectTerms Control
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Regular Papers
Robotics
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Title Robust H∞ static output feedback stabilization of T-S fuzzy systems subject to actuator saturation
URI https://link.springer.com/article/10.1007/s12555-012-0319-3
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