New absolute stability criteria for time-delay Lur'e systems with sector-bounded nonlinearity

被引：17

作者：

Liu, Xian

Wang, Jinzhi ^{[1
]}

Duan, Zhisheng

Huang, Lin

机构：

[1] Peking Univ, Coll Engn, State Key Lab Turbulence & Complex Syst, Beijing 100871, Peoples R China

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2010年 / 20卷 / 06期

基金：

美国国家科学基金会;

关键词：

Absolute stability; delay-dependent criterion; frequency-domain inequality (FDI); linear matrix inequality (LMI); FREQUENCY-DOMAIN;

D O I：

10.1002/rnc.1460

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper is concerned with the problem of absolute stability of time-delay Lur'e systems with sector-bounded nonlinearity Several novel criteria are presented by using a Lur'e-Postnikov function For a general Lur'e system with known time delay. the absolute stability of it is analyzed by solving a set of linear matrix inequalities (LMIs) The maximum upper bound of the allowable time delay for a general Lure system is derived by solving a convex optimization problem The feasibility of the LMIs implies some frequency-domain interpretations which are similar to the frequency-domain inequalities in the circle criterion and the Popov criterion Copyright (C) 2009 John Wiley & Sons, Ltd

引用

页码：659 / 672

页数：14

共 19 条

[1]

[Anonymous], 1996, Frequency-Domain Methods for Nonlinear Analysis

[2] Lyapunov-Krasovskii functionals and frequency domain: delay-independent absolute stability criteria for delay systems [J].