Robust control of continuous-time fuzzy systems with parametric uncertainty

Author

Kang, Shuxia ; Yang, Xiaoguang ; He, Wenhu

Author_Institution

Dept. of Math., Dalian Maritime Univ., Dalian, China

fYear

2010

fDate

26-28 May 2010

Firstpage

2037

Lastpage

2040

Abstract

This paper addresses the robust fuzzy control problem for nonlinear systems in the presence of parametric uncertainties. The T-S fuzzy model is adopted for fuzzy modelling of the nonlinear systems. The continuous-time of the T-S fuzzy system with parametric uncertainties is considered. 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 effectiveness of the proposed controller design method is finally demonstrated through numerical simulations on the chaotic Lorenz system.

Keywords

Lyapunov methods; asymptotic stability; chaos; continuous time systems; control system synthesis; fuzzy control; fuzzy systems; linear matrix inequalities; nonlinear control systems; robust control; Lyapunov asymptotic stability; T-S fuzzy model; chaotic Lorenz system; continuous-time fuzzy systems; controller design method; fuzzy modelling; linear matrix inequality; nonlinear systems; numerical simulations; parametric uncertainty; robust control; robust fuzzy control; robust stabilization; sufficient conditions; Asymptotic stability; Design methodology; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Nonlinear systems; Robust control; Robust stability; Sufficient conditions; Uncertainty; T-S model; Uncertainty; fuzzy systems; linear matrix inequality (LMI); robustness;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2010 Chinese

Conference_Location

Xuzhou

Print_ISBN

978-1-4244-5181-4

Electronic_ISBN

978-1-4244-5182-1

Type

conf

DOI

10.1109/CCDC.2010.5498893

Filename

5498893