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

✍ Scribed by Jiqing Qiu; Zhifeng Gao; Yuanqing Xia; Jinhui Zhang

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
153 KB
Volume
29
Category
Article
ISSN
0143-2087

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✦ Synopsis

Abstract

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 © 2007 John Wiley & Sons, Ltd.

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