Non-fragile LQ fuzzy control for a class of nonlinear descriptor system with time delays

Author

Ren, Jun-Sheng

Author_Institution

Nautical Sci. & Technol. Inst., Dalian Maritime Univ., China

Volume

2

fYear

2005

fDate

18-21 Aug. 2005

Firstpage

797

Abstract

This paper focuses on non-fragile linear quadratic (LQ) fuzzy control problem for a class of nonlinear time-delayed descriptor systems with norm-bounded time-varying uncertainties in the matrices of state, delayed state and control gain via state feedback controllers. The system is represented by Takagi-Sugeno (T-S) fuzzy model. Sufficient conditions are derived for the existence of LQ fuzzy controllers in terms of linear matrix inequalities (LMI). An example is given to illustrate the use of the proposed results.

Keywords

compensation; delays; fuzzy control; linear matrix inequalities; linear quadratic control; nonlinear systems; state feedback; Takagi-Sugeno fuzzy model; linear matrix inequality; nonfragile linear quadratic fuzzy control; nonlinear time-delayed descriptor system; parallel distributed compensation; state feedback controller; Control systems; Delay effects; Fuzzy control; Linear feedback control systems; Linear matrix inequalities; Nonlinear control systems; State feedback; Takagi-Sugeno model; Time varying systems; Uncertainty; Non-fragile linear quadratic (LQ) fuzzy control; Takagi-Sugeno (T-S) fuzzy model; linear matrix inequality (LMI); nonlinear descriptor system with time delay; parallel distributed compensation (PDC);

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics, 2005. Proceedings of 2005 International Conference on

Conference_Location

Guangzhou, China

Print_ISBN

0-7803-9091-1

Type

conf

DOI

10.1109/ICMLC.2005.1527052

Filename

1527052