Robust fuzzy control of nonlinear systems with parametric uncertainties

Author

Lee, Ho Jae ; Park, Jin Bae ; Chen, Guanrong

Author_Institution

Dept. of Electr. & Comput. Eng., Yonsei Univ., Seoul, South Korea

Volume

9

Issue

2

fYear

2001

fDate

4/1/2001 12:00:00 AM

Firstpage

369

Lastpage

379

Abstract

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

Keywords

Lyapunov methods; asymptotic stability; continuous time systems; control nonlinearities; discrete time systems; fuzzy control; matrix algebra; nonlinear control systems; robust control; uncertain systems; Lyapunov asymptotic stability; Takagi-Sugeno fuzzy model; chaotic Lorenz system; complex nonlinearity; linear matrix inequalities; parametric uncertainties; robust fuzzy control; robust stabilization; sufficient conditions; Asymptotic stability; Chaos; Fuzzy control; Fuzzy systems; Nonlinear systems; Robust control; Robust stability; Sufficient conditions; Takagi-Sugeno model; Uncertainty;

fLanguage

English

Journal_Title

Fuzzy Systems, IEEE Transactions on

Publisher

ieee

ISSN

1063-6706

Type

jour

DOI

10.1109/91.919258

Filename

919258