Absolute stability of uncertain Lurie indirect control systems with multiple time-varying delays

Author

Ma, Xin-Jun ; Xu, Bugong ; Peng, Da-Zhou ; Liu, Xiu-Xiang

Author_Institution

Coll. of Autom. Sci. & Eng., South China Technol. Univ., Guangzhou, China

Volume

1

fYear

2005

fDate

26-29 June 2005

Firstpage

359

Abstract

The absolute stability of uncertain Lurie indirect control systems with multiple time-varying delays is investigated. Time delays are bounded, and derivatives of time-varying delays are less than one. Moreover, all admissible time-varying parametric uncertainties are norm bounded. Then some new sufficient conditions are obtained in terms of Lyapunov-Krasovskii functional together with matrix inequality techniques. In the end, two numerical examples are presented to illustrate the effectiveness and less conservativeness of the proposed method.

Keywords

Lyapunov methods; absolute stability; delays; linear matrix inequalities; multivariable systems; time-varying systems; uncertain systems; Lyapunov-Krasovskii functional; absolute stability; matrix inequality; multiple time-varying delays; time-varying parametric uncertainties; uncertain Lurie indirect control systems; Control nonlinearities; Control systems; Delay effects; Gallium nitride; Linear matrix inequalities; Nonlinear control systems; Stability analysis; Sufficient conditions; Time varying systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Automation, 2005. ICCA '05. International Conference on

Print_ISBN

0-7803-9137-3

Type

conf

DOI

10.1109/ICCA.2005.1528145

Filename

1528145