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APPLICATION AND ROBUSTNESS DESIGN OF FUZZY CONTROLLER FOR RESONANT AND CHAOTIC SYSTEMS WITH EXTERNAL DISTURBANCE

Department of Electronic Engineering, National United University, No. 1, Lien Da, Miaoli 360, Taiwan, R.O.C.

Author to whom all correspondence should be addressed.

Department of Civil Engineering, National Central University, No. 300, Jhongda Road, Wu Chuan Li, Jhongli, Taoyuan County 32001, Taiwan, R.O.C.

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CHENG-WU CHEN

Department of Civil Engineering, National Central University, No. 300, Jhongda Road, Wu Chuan Li, Jhongli, Taoyuan County 32001, Taiwan, R.O.C.

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SHENG-DONG XU

Department of Electrical and Control Engineering, National Chiao Tung University, No. 1001, Ta Hsueh Road, Hsinchui 30039, Taiwan, R.O.C.

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, and

SHIH-LIN WU

Department of Computer Science and Information Engineering, Chang Gung University, No. 259, Wen Hwa 1st Road, Kweishan, Taoyuan County 333, Taiwan, R.O.C.

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https://doi.org/10.1142/S0218488505003461Cited by:50 (Source: Crossref)

Abstract

A robustness design of fuzzy control via model-based approach is proposed in this paper to overcome the effect of approximation error between nonlinear system and Takagi-Sugeno (T-S) fuzzy model. T-S fuzz model is used to model the resonant and chaotic systems and the parallel distributed compensation (PDC) is employed to determine structures of fuzzy controllers. Linear matrix inequality (LMI) based design problems are utilized to find common definite matrices P and feedback gains K satisfying stability conditions derived in terms of Lyapunov direct method. Finally, the effectiveness and the feasibility of the proposed controller design method is demonstrated through numerical simulations on the chaotic and resonant systems.

The authors wish to express sincere gratitude to Prof. B. Bouchon-Meunier for her valuable help, the Associate Editor and the anonymous reviewers for their constructive comments and helpful suggestions which lead to substantial improvements of this paper.

Keywords:

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