Robust H ^sub [infinity]^ static output feedback stabilization of T-S fuzzy systems subject to actuator saturation

This paper proposes a method for designing robust H^sub ?^ 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...

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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 Springer Nature B.V 01.06.2012
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ISSN1598-6446
2005-4092
DOI10.1007/s12555-012-0319-3

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Abstract This paper proposes a method for designing robust H^sub ?^ 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^sub ?^ 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.[PUBLICATION ABSTRACT]
AbstractList This paper proposes a method for designing robust H sub( infinity ) 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 sub( infinity ) 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.
This paper proposes a method for designing robust H^sub ?^ 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^sub ?^ 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.[PUBLICATION ABSTRACT]
Author Labiod, Salim
Saifia, Dounia
Guerra, Thierry Marie
Chadli, Mohammed
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SubjectTerms Actuators
Analysis
Attraction
Closed loop systems
Control systems
Design engineering
Fuzzy logic
Fuzzy sets
Fuzzy systems
Optimization
Output feedback
Saturation
Stabilization
Studies
Uncertainty
Title Robust H ^sub [infinity]^ static output feedback stabilization of T-S fuzzy systems subject to actuator saturation
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