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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Bibliographic Details
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
Subjects
Actuators
Analysis
Attraction
Closed loop systems
Control systems
Design engineering
Fuzzy logic
Fuzzy sets
Fuzzy systems
Optimization
Output feedback
Saturation
Stabilization
Studies
Uncertainty
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ISSN1598-6446
2005-4092
DOI10.1007/s12555-012-0319-3

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Summary: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]
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ISSN:1598-6446
2005-4092
DOI:10.1007/s12555-012-0319-3