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Robust adaptive control for uncertain time-delay systems

✍ Scribed by Changchun Hua; Xinping Guan; Peng Shi

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
158 KB
Volume
19
Category
Article
ISSN
0890-6327

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✦ Synopsis

Abstract

The problem of robust stabilization for uncertain dynamic time‐delay systems is considered. Firstly a class of time‐delay systems with uncertainties bounded by high‐order polynomials and unknown coefficients are considered. The corresponding controller is designed by employing adaptive method. It is shown that the controller designed can render the closed‐loop system uniformly ultimately bounded stable based on Lyapunov–Krasovskii method and Lyapunov stability theory. Then the proposed adaptive idea is applied to stabilizing a class of large‐scale time‐delay systems with strong interconnections. A decentralized feedback adaptive controller is designed which guarantees the closed‐loop large‐scale systems uniformly ultimately bounded stable. Finally, numerical examples are given to show the potential of the proposed techniques. Copyright © 2005 John Wiley & Sons, Ltd.

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