Delay-dependent robust control for uncertain discrete stochastic fuzzy systems via relaxed LMIs

Author

Li, Yongmin ; Xu, Shengyuan ; Zhang, Baoyong ; Chu, Yuming

Author_Institution

Sch. of Autom., Nanjing Univ. of Sci. & Technol., Nanjing

fYear

2008

fDate

25-27 June 2008

Firstpage

6085

Lastpage

6089

Abstract

This paper deals with the problem of robust control for uncertain discrete stochastic fuzzy systems with both state and input time-varying delays. The uncertainties are time-varying but norm-bounded. The purpose is to design a state feedback fuzzy controller such that the resulting closed-loop system is robustly stochastically stable. Based on Takagi-Sugeno (T-S) fuzzy model and relaxed LMI approach, a delay-dependent sufficient condition for the solvability of the problem is obtained by utilizing a proper Lyapunov functional.

Keywords

delay systems; discrete systems; fuzzy control; linear matrix inequalities; robust control; state feedback; stochastic systems; time-varying systems; uncertain systems; Lyapunov functional; Takagi-Sugeno fuzzy model; closed-loop system; delay-dependent robust control; relaxed LMI; state feedback fuzzy controller; uncertain discrete stochastic fuzzy systems; Control systems; Delay; Fuzzy control; Fuzzy systems; Robust control; State feedback; Stochastic systems; Takagi-Sugeno model; Time varying systems; Uncertainty; Delay-dependent control; discrete Takagi-Sugeno (T-S) fuzzy model; input delays; relaxed LMI; stochastic systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation, 2008. WCICA 2008. 7th World Congress on

Conference_Location

Chongqing

Print_ISBN

978-1-4244-2113-8

Electronic_ISBN

978-1-4244-2114-5

Type

conf

DOI

10.1109/WCICA.2008.4594559

Filename

4594559