Delay-dependent robust stabilization of uncertain systems with multiple state delays

Author

Cao, Yong-Yan ; Sun, You-Xian ; Cheng, Chuwang

Author_Institution

Res. Inst. of Ind. Process Control, Zhejiang Univ., Hangzhou, China

Volume

43

Issue

11

fYear

1998

fDate

11/1/1998 12:00:00 AM

Firstpage

1608

Lastpage

1612

Abstract

This paper deals with the problem of robust stabilization for uncertain systems with multiple state delays. The parameter uncertainties are time-varying and unknown but are norm-bounded, and the delays are time-varying. A new method for achieving robust stabilization is presented for a class of uncertain time-delay systems via linear memoryless state feedback control. The results depend on the size of the delays and are given in terms of several linear matrix inequalities

Keywords

delay systems; matrix algebra; robust control; state feedback; time-varying systems; uncertain systems; LMI; delay-dependent robust stabilization; linear matrix inequalities; linear memoryless state feedback control; multiple state delays; time-varying delays; time-varying unknown norm-bounded parameter uncertainties; uncertain systems; Control systems; Delay; Linear feedback control systems; Linear matrix inequalities; Riccati equations; Robust control; Robustness; State feedback; Uncertain systems; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.728880

Filename

728880