Title :
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
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;
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
DOI :
10.1109/WCICA.2008.4594559