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
收藏
页码：353 / 371
页数：19
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