Some Sufficient Stability Conditions on T-S Fuzzy Systems with Time-Delay

Author

Huang, Shengjuan ; He, Xiqin

Author_Institution

Univ. of Sci. & Technol. of LiaoNing, Anshan

Volume

1

fYear

2007

fDate

24-27 Aug. 2007

Firstpage

341

Lastpage

345

Abstract

Some sufficient stability conditions on T-S fuzzy systems with time-delay are given in this paper. First, the T-S fuzzy models with time-delay are presented and the sufficient stability conditions are derived by using the second Lyapunov functional approach. Then a stabilization approach for nonlinear retarded systems through fuzzy state feedback controller is proposed. It shows that the analysis results provide an efficient technique for the design of fuzzy controllers. Sufficient conditions for the existence of fuzzy state feedback gain of the time-delay systems are derived through the numerical solution of a set of coupled linear matrix inequalities.

Keywords

Lyapunov methods; control system synthesis; delay systems; fuzzy control; linear matrix inequalities; nonlinear control systems; stability; state feedback; Lyapunov function; T-S fuzzy systems; coupled linear matrix inequalities; fuzzy controller design; fuzzy state feedback controller; nonlinear retarded systems; stability condition; time-delay system; Control systems; Fuzzy control; Fuzzy sets; Fuzzy systems; Linear matrix inequalities; Mathematics; Nonlinear control systems; Nonlinear systems; Stability; State feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems and Knowledge Discovery, 2007. FSKD 2007. Fourth International Conference on

Conference_Location

Haikou

Print_ISBN

978-0-7695-2874-8

Type

conf

DOI

10.1109/FSKD.2007.521

Filename

4405944