Robust stability of uncertain singularly perturbed systems with time-varying delay

Author

Sun, Hong-Chen ; Wang, Xian-Jie

Author_Institution

Sch. of Math. & Inf. Sci., Yantai Univ., Yantai, China

fYear

2010

fDate

26-28 May 2010

Firstpage

189

Lastpage

192

Abstract

The problem of robust stability for a class of uncertain singularly perturbed systems with time-varying delay is presented. A new delay dependent stability criteria is devised by a method converting the singularly perturbed systems into a descriptor system equivalently. Then a Lyapunov-Krasovskii function is proposed. The delay dependent stability sufficient condition for the descriptor system is obtained with linear matrix inequality method. A numerical example is given to illustrate the efficacy of the proposed approach.

Keywords

Lyapunov methods; delays; linear matrix inequalities; perturbation techniques; robust control; stability criteria; time-varying systems; uncertain systems; Lyapunov-Krasovskii function; delay dependent stability criteria; linear matrix inequality method; robust stability; time varying delay; uncertain singularly perturbed system; Delay systems; Inductance; Information science; Linear matrix inequalities; Mathematics; Robust stability; Stability criteria; Sufficient conditions; Time varying systems; Upper bound; Descriptor Systems; LMI Optimization; Singularly Perturbed Systems; Varying Time-delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2010 Chinese

Conference_Location

Xuzhou

Print_ISBN

978-1-4244-5181-4

Electronic_ISBN

978-1-4244-5182-1

Type

conf

DOI

10.1109/CCDC.2010.5499093

Filename

5499093