Title :
A study of feedback control of T-S model stochastic systems with time delay
Author :
Wu, Ligang ; Zheng, Wei Xing
Author_Institution :
Space Control & Inertial Technol. Res. Center, Harbin Inst. of Technol., Harbin, China
Abstract :
This paper is concerned with designing a fuzzy dynamic feedback controller for Takagi-Sugeno (T-S) model nonlinear stochastic systems with time delay. The slack matrix method is utilized to derive a delay-dependent sufficient condition that warrants the mean-square asymptotic stability with an Lscr2-Lscrinfin performance for the resulting closed-loop system. Moreover, the solvability condition for a desired fuzzy dynamic feedback controller is presented so as to guarantee a prescribed noise attenuation level in an Lscr2-Lscrinfin sense. The presented theory and methodology are supported by numerical results.
Keywords :
asymptotic stability; closed loop systems; control system synthesis; delay systems; feedback; fuzzy control; fuzzy systems; matrix algebra; mean square error methods; nonlinear control systems; stochastic systems; time-varying systems; Lscr2-Lscrinfin fuzzy dynamic feedback control system design; Takagi-Sugeno model; closed-loop system; mean-square asymptotic stability; noise attenuation level; nonlinear stochastic system; slack matrix method; solvability condition; time delay-dependent sufficient condition; time-varying delay system; Adaptive control; Asymptotic stability; Delay effects; Feedback control; Fuzzy control; Fuzzy systems; Nonlinear dynamical systems; Stochastic systems; Sufficient conditions; Takagi-Sugeno model;
Conference_Titel :
Asian Control Conference, 2009. ASCC 2009. 7th
Conference_Location :
Hong Kong
Print_ISBN :
978-89-956056-2-2
Electronic_ISBN :
978-89-956056-9-1
