Robust fuzzy control of nonlinear systems with parametric uncertainties

Ho Jae Lee, Jin Bae Park, Guanrong Chen

Research output: Contribution to journalArticle

456 Citations (Scopus)

Abstract

This paper addresses the robust fuzzy control problem for nonlinear systems in the presence of parametric uncertainties. The Takagi-Sugeno (T-S) fuzzy model is adopted for fuzzy modeling of the nonlinear system. Two cases of the T-S fuzzy system with parametric uncertainties, both continuous-time and discrete-time cases are considered. In both continuous-time and discrete-time cases, sufficient conditions are derived for robust stabilization in the sense of Lyapunov asymptotic stability, for the T-S fuzzy system with parametric uncertainties. The sufficient conditions are formulated in the format of linear matrix inequalities. The T-S fuzzy model of the chaotic Lorenz system, which has complex nonlinearity, is developed as a test bed. The effectiveness of the proposed controller design methodology is finally demonstrated through numerical simulations on the chaotic Lorenz system.

Original languageEnglish
Pages (from-to)369-379
Number of pages11
JournalIEEE Transactions on Fuzzy Systems
Volume9
Issue number2
DOIs
Publication statusPublished - 2001 Apr 1

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Parametric Uncertainty
Robust control
Fuzzy control
Fuzzy Control
Robust Control
Nonlinear systems
Takagi-Sugeno Fuzzy Systems
Takagi-Sugeno Fuzzy Model
Nonlinear Systems
Lorenz System
Chaotic systems
Fuzzy systems
Chaotic System
Continuous Time
Discrete-time
Robust Stabilization
Fuzzy Modeling
Sufficient Conditions
Lyapunov Stability
Asymptotic stability

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computational Theory and Mathematics
  • Artificial Intelligence
  • Applied Mathematics

Cite this

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Robust fuzzy control of nonlinear systems with parametric uncertainties. / Lee, Ho Jae; Park, Jin Bae; Chen, Guanrong.

In: IEEE Transactions on Fuzzy Systems, Vol. 9, No. 2, 01.04.2001, p. 369-379.

Research output: Contribution to journalArticle

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