Further result on delay-dependent stabilization for singular linear continuous-time systems

Author

Ji, Xiaofu ; Zhang, Xinhua ; Sun, Yukun

Author_Institution

Sch. of Electr. & Inf. Eng., Jiangsu Univ., Zhenjiang

fYear

2008

fDate

2-4 July 2008

Firstpage

639

Lastpage

643

Abstract

This paper presents a new synthesis method for a class of singular linear continuous-time systems with constant time delay. A sufficient delay-dependent condition is presented for a singular linear time-delay system to be regular, impulse free and stable. Based on that, a new state feedback controller design algorithm is given for the resultant closed-loop system to be regular, impulse free as well as stable. The obtained results are formulated in terms of linear matrix inequalities (LMIs). A numerical simulation shows the effectiveness of the proposed method.

Keywords

closed loop systems; continuous time systems; control system synthesis; delay systems; delays; linear matrix inequalities; linear systems; stability; state feedback; closed-loop system stability; constant time delay system; delay-dependent condition; delay-dependent stabilization; linear matrix inequality; singular linear continuous-time system synthesis method; state feedback controller design algorithm; Algorithm design and analysis; Control system synthesis; Control systems; Delay effects; Linear matrix inequalities; Stability analysis; State feedback; Sun; Symmetric matrices; Transmission line matrix methods; Singular linear system; continuous-time system; delay-dependent stabilization; linear matrix inequality (LMI);

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference, 2008. CCDC 2008. Chinese

Conference_Location

Yantai, Shandong

Print_ISBN

978-1-4244-1733-9

Electronic_ISBN

978-1-4244-1734-6

Type

conf

DOI

10.1109/CCDC.2008.4597392

Filename

4597392