Further Improvement of Free-Weighting Matrices Technique for Systems With Time-Varying Delay

Author

He, Yong ; Wang, Qing-Guo ; Xie, Lihua ; Lin, Chong

Author_Institution

Sch. of Inf. Sci. & Eng., Central South Univ., Changsha

Volume

52

Issue

2

fYear

2007

Firstpage

293

Lastpage

299

Abstract

A novel method is proposed in this note for stability analysis of systems with a time-varying delay. Appropriate Lyapunov functional and augmented Lyapunov functional are introduced to establish some improved delay-dependent stability criteria. Less conservative results are obtained by considering the additional useful terms (which are ignored in previous methods) when estimating the upper bound of the derivative of Lyapunov functionals and introducing the new free-weighting matrices. The resulting criteria are extended to the stability analysis for uncertain systems with time-varying structured uncertainties and polytopic-type uncertainties. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method

Keywords

Lyapunov matrix equations; delays; stability; stability criteria; time-varying systems; uncertain systems; augmented Lyapunov functional; delay-dependent stability criteria; free weighting matrices technique; polytopic type uncertainties; stability analysis; time-varying delay; uncertain system; Automatic control; Delay estimation; Delay systems; Eigenvalues and eigenfunctions; Helium; Stability analysis; Stability criteria; Time varying systems; Uncertainty; Upper bound; Augmented Lyapunov functional; delay-dependent; linear matrix inequality (LMI); stability; time-varying delay;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2006.887907

Filename

4099497