New delay-dependent stability and stabilization of delayed systems with sector-bounded nonlinearity

Author

Yan, Xianbo ; Wang, Yijing ; Zuo, Zhiqiang ; Zhang, Guoshan ; Zhao, Huimin

Author_Institution

Sch. of Electr. Eng. & Autom., Tianjin Univ., Tianjin

fYear

2008

fDate

25-27 June 2008

Firstpage

6287

Lastpage

6292

Abstract

In this paper, we consider the problems of robust stability and stabilization of Lurpsilae control systems with time-varying delay. Firstly, by making use of an integral inequality, some delay-dependent robust stability conditions of the system are presented. Then, a sufficient stabilization criterion is established in the terms of linear matrix inequality (LMI), based on the above stability condition and matrix decomposition technique. Finally, numerical examples are given to illustrate the effectiveness of the proposed results.

Keywords

control nonlinearities; delays; integral equations; linear matrix inequalities; nonlinear control systems; stability; time-varying systems; Lure control systems; delay-dependent stability; delayed systems; integral inequality; linear matrix inequality; sector-bounded nonlinearity; stabilization; time-varying delay; Automation; Delay effects; Delay systems; Linear matrix inequalities; Matrix decomposition; Robust stability; Stability analysis; Stability criteria; Symmetric matrices; Time varying systems; Delay-Dependent; Integral inequality; Linear matrix inequality (LMI); Stabilization; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation, 2008. WCICA 2008. 7th World Congress on

Conference_Location

Chongqing

Print_ISBN

978-1-4244-2113-8

Electronic_ISBN

978-1-4244-2114-5

Type

conf

DOI

10.1109/WCICA.2008.4593877

Filename

4593877