Passive control for a class of uncertain switched fuzzy systems with time delays

Author

Luo Jinming ; Dimirovski, Georgi M. ; Zhao Jun

Author_Institution

State Key Lab. of Synthetical Autom. for Process Ind., Northeastern Univ., Shenyang, China

fYear

2013

Firstpage

2174

Lastpage

2179

Abstract

In this paper, we address the issue of passive control for a class of uncertain switched fuzzy systems with time delays. Based on the multiple Lyapunov functions method, we consider that each sub fuzzy system is not asymptotically stable with strict passivity. We design a switching law and state feedback controllers such that the closed-loop system is asymptotically stable with strict passivity. A sufficient condition for the problem studied is proposed by the Lyapunov-Krasovskii functional. Then, an optimization problem of the passive control is solved. Finally, an example is given to verify the feasibility and effectiveness of the proposed approach.

Keywords

Lyapunov methods; asymptotic stability; closed loop systems; delay systems; fuzzy control; optimisation; state feedback; time-varying systems; uncertain systems; Lyapunov functions method; Lyapunov-Krasovskii functional; asymptotic stability; closed-loop system; optimization problem; passive control; state feedback controllers; strict passivity; subfuzzy system; sufficient condition; switching law; time delays; uncertain switched fuzzy systems; Delay effects; Fuzzy systems; Lyapunov methods; State feedback; Switched systems; Switches; Delay-dependent; Multiple Lyapunov functions; Passivity; Switched fuzzy systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2013 32nd Chinese

Conference_Location

Xi´an

Type

conf

Filename

6639788