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Adaptive control of chaotic continuous-time systems with delay

✍ Scribed by Yu-Chu Tian; Furong Gao


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
897 KB
Volume
117
Category
Article
ISSN
0167-2789

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✦ Synopsis


A simple delay system governed by a first-order differential-delay equation may behave chaotically, but the conditions for the system to have such behaviors have not been well recognized. In this paper, a set of rules is postulated first for the conditions for the delay system to display chaos. A model-reference adaptive control scheme is then proposed to control the chaotic system state to converge to an arbitrarily given reference trajectory with certain and uncertain system parameters. Numerical examples are given to analyze the chaotic behaviors of the delay system and to demonstrate the effectiveness of the proposed adaptive control scheme.


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## 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