Exponential stability of switched fuzzy systems with time-delay

Author

Yang, Hong ; Zhang, Le

Author_Institution

Sch. of Inf. Eng., Shenyang Univ., Shenyang, China

fYear

2012

fDate

23-25 May 2012

Firstpage

1799

Lastpage

1804

Abstract

Average dwell time technique is an effective tool to study switched systems, but which has not been yet applied to study switched fuzzy delay systems. This paper deals with the problem of exponential stability for switched fuzzy systems based on this method. First, a model of a kind of uncertain switched fuzzy systems is presented, in which each subsystem is an uncertain fuzzy system. Then, based on Lyapunov functional candidate and average dwell time scheme, linear matrix inequalities´ (LMIs´) conditions are presented to guarantee robust exponential stability of the switched fuzzy delay systems. The exponential decay estimate for state is also explicitly developed. At last, two numerical examples are given to illustrate the effectiveness of the proposed method.

Keywords

Lyapunov methods; asymptotic stability; delays; fuzzy control; linear matrix inequalities; robust control; state estimation; time-varying systems; uncertain systems; LMI conditions; Lyapunov functional candidate; average dwell time technique; exponential decay estimate; linear matrix inequalities; robust exponential stability; switched fuzzy delay systems; time-delay; uncertain switched fuzzy systems; Delay systems; Fuzzy systems; Numerical stability; Stability analysis; Switched systems; Switches; Switched fuzzy systems; average dwell time; decay estimate; exponentially stable;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2012 24th Chinese

Conference_Location

Taiyuan

Print_ISBN

978-1-4577-2073-4

Type

conf

DOI

10.1109/CCDC.2012.6244289

Filename

6244289