Delay-range-dependent robust H∞ control for uncertain discrete stochastic fuzzy time-delay systems via relaxed LMIs

Author

Li, Yongmin ; Xu, Shengyuan ; Zou, Yun ; Chu, Yuming

Author_Institution

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

fYear

2008

fDate

2-4 July 2008

Firstpage

4711

Lastpage

4716

Abstract

Through free-weighting matrix and relaxed LMI approach, this paper deals with the problem of robust H_infin control for uncertain discrete stochastic fuzzy systems with interval 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 not only robustly stochastically stable but also with a disturbance attenuation level lambda. Based on Takagi-Sugeno (T-S) fuzzy model, a delay-dependent sufficient condition for the solvability of the problem is obtained by utilizing a proper Lyapunov functional.

Keywords

H^infin control; Lyapunov methods; closed loop systems; delays; discrete time systems; fuzzy control; linear matrix inequalities; robust control; state feedback; stochastic systems; uncertain systems; LMI; Lyapunov functional; Takagi-Sugeno fuzzy model; closed-loop system; delay-dependent sufficient condition; delay-range-dependent robust H_infin control; free-weighting matrix; interval time-varying delay; linear matrix inequalities; state feedback fuzzy controller; uncertain discrete stochastic fuzzy time-delay system; Control systems; Delay; Fuzzy control; Fuzzy systems; Robust control; Robustness; State feedback; Stochastic systems; Time varying systems; Uncertainty; Free-Weighting Matrix; H∞ control; Relaxed LMI; Stochastic Fuzzy Systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference, 2008. CCDC 2008. Chinese

Conference_Location

Yantai, Shandong

Print_ISBN

978-1-4244-1733-9

Electronic_ISBN

978-1-4244-1734-6

Type

conf

DOI

10.1109/CCDC.2008.4598224

Filename

4598224