H∞ performance for a class of uncertain linear time-delay systems based on LMI

Author

Li, Jiekun ; Tan, Weibing ; Mo, Yuzhong

Author_Institution

Dept. of Math. & Comput. Sci., Liuzhou Teachers´´ Coll., Liuzhou, China

Volume

5

fYear

2010

fDate

22-24 June 2010

Abstract

By using linear matrix inequality approach, this paper deals with H_∞ control problem for a class of uncertain linear systems with time-varying state and control input delays and normbounded parameter perturbations. A sufficient condition for such system to be robust stabilization by state feedback is obtained based on LMI approach. Moreover, the result is not only stabilizes the time-delay system, but also makes the H_∞ norm of such closed-loop system to be less than a given upper bound.

Keywords

H^∞ control; closed loop systems; delays; linear matrix inequalities; linear systems; robust control; state feedback; time-varying systems; uncertain systems; H_∞ control problem; H_∞ performance; LMI; linear matrix inequality; robust stabilization; state feedback; time varying state; uncertain linear time delay systems; Asymptotic stability; Computer science; Computer science education; Control systems; Delay; Educational technology; Linear matrix inequalities; Mathematics; Riccati equations; Time varying systems; H∞ control; linearity matrix inequality; time-delay theory; uncertain time-delay system;

fLanguage

English

Publisher

ieee

Conference_Titel

Education Technology and Computer (ICETC), 2010 2nd International Conference on

Conference_Location

Shanghai

Print_ISBN

978-1-4244-6367-1

Type

conf

DOI

10.1109/ICETC.2010.5530057

Filename

5530057