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
收藏
页码：659 / 672
页数：14
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