A New Stability Criterion of Fuzzy Systems with Interval Time-varying Delay

Author

Yang, Xingxu ; Jiang, Xiefu ; Zhang, Xinxin

Author_Institution

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

Volume

2

fYear

2009

fDate

13-15 Nov. 2009

Firstpage

20

Lastpage

23

Abstract

The problem of the stability of fuzzy systems with interval time-varying delay is addressed. The time-delay is assumed to belong to a given interval. The systems are approximated by Takagi-Sugeno(T-S)fuzzy models with interval time-varying delay. A Lyapunov-Krasovskii functional, which is based on both the lower and upper bounds of interval time-varying delay, is proposed to derive a less conservative delay-dependent stability criteria. A numerical example is also given to show the effectiveness of the proposed stability criteria.

Keywords

Lyapunov matrix equations; delays; fuzzy control; fuzzy systems; stability criteria; time-varying systems; Lyapunov-Krasovskii functional; Takagi-Sugeno fuzzy models; delay dependent stability criteria; fuzzy systems; interval time-varying delay; Batteries; Computer architecture; Computerized monitoring; Delay; Energy consumption; Fuzzy systems; Sensor phenomena and characterization; Stability criteria; Time varying systems; Wireless sensor networks; Takagi-Sugeno(T-S)model; fuzzy; linear matrix inequality(LMI); stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Technology and Development, 2009. ICCTD '09. International Conference on

Conference_Location

Kota Kinabalu

Print_ISBN

978-0-7695-3892-1

Type

conf

DOI

10.1109/ICCTD.2009.74

Filename

5360100