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 journalArticlepeer-review

40 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 languageEnglish
Pages (from-to)281-295
Number of pages15
JournalInternational Journal of Uncertainty, Fuzziness and Knowlege-Based Systems
Volume13
Issue number3
DOIs
StatePublished - Jun 2005

Keywords

  • Chaos
  • Fuzzy control
  • PDC
  • Resonance
  • T-S fuzzy models

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