Observer-based H control for Takagi-Sugeno fuzzy systems with uncertainty and disturbance

Thai Viet Dang, Wen June Wang

Research output: Contribution to journalArticlepeer-review

Abstract

This article is devoted to the design of a fuzzy-observer-based H control for an uncertain Takagi-Sugeno fuzzy system with the existence of external disturbance and unavailable state variables. First, an augmented fuzzy model is built by integrating the system state with the output disturbance to create a new variable. Based on Lyapunov theory and linear matrix inequality tools, we derive sufficient conditions for the existence of the fuzzy-observer-based fuzzy controller guaranteeing a generalized H performance level. A decoupled method is proposed in this study to transform the nonlinear matrix inequality (nonlinear matrix inequality) conditions into some LMI forms. Finally, the procedure of the fuzzy-observer-based H control design is summarized and the effectiveness is demonstrated with a practical example.

Original languageEnglish
Pages (from-to)1288-1300
Number of pages13
JournalProceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering
Volume226
Issue number10
DOIs
StatePublished - Nov 2012

Keywords

  • Augmented model
  • Fuzzy-observer-based control
  • H control
  • Linear matrix inequalities
  • Takagi-Sugeno fuzzy model
  • Uncertainty and disturbance

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