Delay-dependent robust passive control for a class of nonlinear systems with time-varying delays

被引：6

作者：

Qiu, Jiqing ^{[2
]}

Gao, Zhifeng ^{[2
]}

Xia, Yuanqing ^{[1
]}

Zhang, Jinhui ^{[1
]}

机构：

[1] Beijing Inst Technol, Dept Automat Control, Beijing 100081, Peoples R China

[2] Hebei Univ Sci & Technol, Coll Sci, Shijiazhuang 050018, Peoples R China

来源：

OPTIMAL CONTROL APPLICATIONS & METHODS | 2008年 / 29卷 / 05期

基金：

中国国家自然科学基金;

关键词：

time-varying delays; passive control; linear matrix inequalities (LMIs); nonlinear systems;

D O I：

10.1002/oca.832

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the problem of robust passive control for a class of nonlinear systems with time-varying delays is considered. The uncertainties investigated in this paper are norm bounded and time varying, and they enter all system matrices. Based on the Lyapunov-Krasovskii functionals approach, a new robust passive control criterion is proposed in terms of linear matrix inequalities, which is dependent on the size of time delay. We also design a state feedback controller that guarantees a robust asymptotically stable and strictly passive closed-loop system for all admissible uncertainties. Finally, two numerical examples are given to illustrate the effectiveness of the developed techniques. Copyright (C) 2007 John Wiley & Sons, Ltd.

引用

页码：353 / 371

页数：19

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