Robust stability for delay Lur'e control systems with multiple nonlinearities

被引：66

作者：

He, Y ^{[1
]}

Wu, M

She, JH

Liu, GP

机构：

[1] Cent S Univ, Sch Informat Sci & Engn, Changsha 410083, Peoples R China

[2] Tokyo Univ Technol, Sch Bion, Tokyo 1920982, Japan

[3] Univ Glamorgan, Sch Elect, Pontypridd CF37 1DL, M Glam, Wales

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2005年 / 176卷 / 02期

关键词：

Lur'e control system; absolute stability; Lyapunov functional; linear matrix inequality (LMI); delay-dependent criterion;

D O I：

10.1016/j.cam.2004.07.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with delay Lur'e control systems with multiple nonlinearities and time-varying structured uncertainties. First, some sufficient, and necessary and sufficient conditions for the existence of a Lyapunov functional in the extended Lur'e form with a negative definite derivative that guarantees delay-independent robust absolute stability are presented. Then, some new less conservative delay-dependent absolute stability criteria are derived that employ free weighting matrices to express the relationships between the terms in the Leibniz-Newton formula. All the criteria are based on linear matrix inequalities. Finally, a numerical example is presented to illustrate the effectiveness of the method. (C) 2004 Elsevier B.V All rights reserved.

引用

页码：371 / 380

页数：10

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