Fuzzy Lyapunov method for stability conditions of nonlinear systems

Cheng Wu Chen, Wei Ling Chiang, Chung Hung Tsai, Chen Yuan Chen, Morris H.L. Wang

Research output: Contribution to journalArticlepeer-review

75 Scopus citations

Abstract

This paper proposes a fuzzy Lyapunov method for stability analysis of nonlinear systems represented by Tagagi-Sugeno (T-S) fuzzy model. The fuzzy Lyapunov function is defined in fuzzy blending quadratic Lyapunov functions. Based on fuzzy Lyapunov functions, some stability conditions are derived to ensure nonlinear systems are asymptotic stable. By using parallel distributed compensation (PDC) scheme, we design a nonlinear fuzzy controller for the nonlinear system. This control problem will be reformulated into linear matrix inequalities (LMI) problem.

Original languageEnglish
Pages (from-to)163-171
Number of pages9
JournalInternational Journal on Artificial Intelligence Tools
Volume15
Issue number2
DOIs
StatePublished - Apr 2006

Keywords

  • Fuzzy Lyapunov method
  • Linear matrix inequality

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