Stability and stabilization for systems with two additive time-varying delay components

Author

Shao Hanyong ; Zhang Zhengqiang

Author_Institution

Sch. of Electr. & Inf. Autom., Qufu Normal Univ., Rizhao, China

fYear

2011

fDate

22-24 July 2011

Firstpage

1119

Lastpage

1124

Abstract

This paper is centered on stabilization for systems with two additive time-varying delays. First of all, by constructing a new Lyapunov functional and employing novel techniques to estimate its derivative, improved delay-dependent stability criteria are derived, which are less conservative with fewer matrix variables than existing ones. Based on the stability criteria a state feedback controller is designed, such that the closed -loop system is asymptotically stable. Finally examples are given to show the advantages of the stability criteria and the effectiveness of the proposed control method.

Keywords

asymptotic stability; control system synthesis; delay systems; matrix algebra; stability criteria; state feedback; time-varying systems; Lyapunov functional; additive time-varying delay component; asymptotically stability; closed -loop system; delay-dependent stability criteria; matrix variables; state feedback controller design; system stabilization; Additives; Asymptotic stability; Delay; Stability criteria; Time varying systems; Upper bound; Additive time-varying delay; Stability; Stabilization;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2011 30th Chinese

Conference_Location

Yantai

ISSN

1934-1768

Print_ISBN

978-1-4577-0677-6

Electronic_ISBN

1934-1768

Type

conf

Filename

6000616