H∞ control for linear systems with interval time-varying delay

Author

Dou Xiaochao ; Wang Xiaofeng ; Zhang Ying ; Wang Lei

Author_Institution

Shenzhen Grad. Sch., Harbin Inst. of Technol., Shenzhen, China

fYear

2013

Firstpage

2780

Lastpage

2785

Abstract

This paper considers the H_∞ control for a class of interval time-varying delay systems. Based on Lyapunov stability theory and linear matrix inequality (LMI) technique, a delay-dependent stability condition with less conservatism and H_∞ performance criterion is proposed by using the idea of delay partition and convex optimization approach. Furthermore, state feedback H_∞ controller design is presented. Finally, a numerical example is provided to demonstrate the effectiveness and feasibility of the proposed results.

Keywords

H^∞ control; Lyapunov methods; control system synthesis; convex programming; delays; linear matrix inequalities; linear systems; stability; state feedback; time-varying systems; H_∞ performance criterion; LMI technique; Lyapunov stability theory; convex optimization approach; delay partition; delay-dependent stability condition; interval time-varying delay; linear matrix inequality technique; linear systems; state feedback H_∞ controller design; Abstracts; Control systems; Delays; Educational institutions; Electronic mail; Linear systems; Time-varying systems; Conservatism; H∞ control; LMI; Time-delay system;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2013 32nd Chinese

Conference_Location

Xi´an

Type

conf

Filename

6639896