Robust decentralized stabilization for large-scale systems with multiple time-varying delays and nonlinear uncertainties

Author

Xiaozhi, Liu ; Dimirovski, Georgi M. ; Yuanwei, Jing ; Siying, Zhang

Author_Institution

Sch. of Information Sci. & Eng., Northeastern Univ., China

Volume

2

fYear

2003

fDate

23-25 June 2003

Firstpage

1323

Abstract

In this paper, the problem of the robust stabilization for a class of uncertain large-scale systems with multiple time-varying delays is investigated. The uncertainties are nonlinear time-varying and do not require a matching condition. The memoryless state-feedback controller for the robust stabilization of the systems is proposed. Based on the Lyapunov method, a sufficient condition for the stability is derived in terms of a linear matrix inequality (LMI). A numerical example is given to illustrate the proposed method.

Keywords

Lyapunov methods; decentralised control; delays; large-scale systems; linear matrix inequalities; robust control; time-varying systems; uncertain systems; LMI; Lyapunov methods; large-scale systems; linear matrix inequalities; memoryless state-feedback controller; multiple time-varying delays; nonlinear uncertainties; robust decentralized stabilization; Control systems; Delay; Large-scale systems; Lyapunov method; Robust control; Robustness; Stability; Sufficient conditions; Time varying systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Applications, 2003. CCA 2003. Proceedings of 2003 IEEE Conference on

Print_ISBN

0-7803-7729-X

Type

conf

DOI

10.1109/CCA.2003.1223203

Filename

1223203