Delay‐dependent robust passive control for a class of nonlinear systems with time‐varying delays |
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Authors: | Jiqing Qiu Zhifeng Gao Yuanqing Xia Jinhui Zhang |
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Affiliation: | 1. College of Sciences, Hebei University of Science and Technology, Shijiazhuang 050018, China;2. Department of Automatic Control, Beijing Institute of Technology, Beijing 100081, China |
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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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Keywords: | time‐varying delays passive control linear matrix inequalities (LMIs) nonlinear systems |
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