Stabilization for a class of stochastic T-S fuzzy systems with different premises

Author

Liangliang Zhang ; Shaosheng Zhou

Author_Institution

Dept. of Autom., Hangzhou Dianzi Univ., Hangzhou, China

fYear

2013

fDate

25-27 May 2013

Firstpage

2483

Lastpage

2486

Abstract

This paper focuses on investigating stochastic analysis and stabilization problem for a class of stochastic T-S model based systems in which the fuzzy controller does not share the same premises as those of the fuzzy model. Under a hypothesis for the fuzzy basis functions of the plant and controller, an LMI based control design approach is proposed by using a common quadratic Lyapunov function. The result is finally illustrated by a numerical example.

Keywords

Lyapunov methods; control system synthesis; fuzzy control; fuzzy systems; linear matrix inequalities; nonlinear control systems; stability; stochastic systems; LMI based control design; T-S nonlinear systems; common quadratic Lyapunov function; fuzzy basis functions; linear matrix inequality; stabilization problem; stochastic T-S fuzzy systems; stochastic analysis; Asymptotic stability; Fuzzy control; Lyapunov methods; Numerical stability; Stability analysis; Stochastic processes; T-S model; different premises; quadratic Lyapunov function; stochastic fuzzy system; stochastic stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2013 25th Chinese

Conference_Location

Guiyang

Print_ISBN

978-1-4673-5533-9

Type

conf

DOI

10.1109/CCDC.2013.6561357

Filename

6561357