Application and robustness design of fuzzy controller for resonant and chaotic systems with external disturbance

Feng Hsiag Hsiao; Wei Ling Chiang; Cheng W.U. Chen; Sheng Dong Xu; Shih Lin Wu

doi:10.1142/S0218488505003461

Application and robustness design of fuzzy controller for resonant and chaotic systems with external disturbance

Feng Hsiag Hsiao, Wei Ling Chiang, Cheng W.U. Chen, Sheng Dong Xu, Shih Lin Wu

Research output: Contribution to journal › Article › peer-review

52 Scopus citations

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

Original language	English
Pages (from-to)	281-295
Number of pages	15
Journal	International Journal of Uncertainty, Fuzziness and Knowlege-Based Systems
Volume	13
Issue number	3
DOIs	https://doi.org/10.1142/S0218488505003461
State	Published - Jun 2005

Keywords

Chaos
Fuzzy control
PDC
Resonance
T-S fuzzy models

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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",

keywords = "Chaos, Fuzzy control, PDC, Resonance, T-S fuzzy models",

author = "Hsiao, {Feng Hsiag} and Chiang, {Wei Ling} and Chen, {Cheng W.U.} and Xu, {Sheng Dong} and Wu, {Shih Lin}",

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T1 - Application and robustness design of fuzzy controller for resonant and chaotic systems with external disturbance

AU - Hsiao, Feng Hsiag

AU - Chiang, Wei Ling

AU - Chen, Cheng W.U.

AU - Xu, Sheng Dong

AU - Wu, Shih Lin

PY - 2005/6

Y1 - 2005/6

N2 - 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

AB - 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

KW - Chaos

KW - Fuzzy control

KW - PDC

KW - Resonance

KW - T-S fuzzy models

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DO - 10.1142/S0218488505003461

M3 - 期刊論文

AN - SCOPUS:22944469431

SN - 0218-4885

VL - 13

SP - 281

EP - 295

JO - International Journal of Uncertainty, Fuzziness and Knowlege-Based Systems

JF - International Journal of Uncertainty, Fuzziness and Knowlege-Based Systems

IS - 3

ER -

Application and robustness design of fuzzy controller for resonant and chaotic systems with external disturbance

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Keywords

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