Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 16, Issue 11, Pages 3411-3419Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127406016896
Keywords
observer-based adaptive feedback controller; Chua's circuit; Lur'e system
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In this paper, an observer-based adaptive feedback controller is developed for a class of chaotic systems. This controller does not need the availability of state variables. It can be used for tracking a smooth orbit that can be a limit cycle or a, chaotic orbit of another system. This adaptive feedback controller is constructed with the aid of its H-infinity control technique to achieve the H-infinity tracking performance. Based on Lyapunov stability theorem, the proposed adaptive feedback control system can guarantee the stability of whole closed-loop system and obtain good tracking performance as well. To demonstrate the efficiency of the proposed scheme, two well-known chaotic systems, namely Chua's circuit and Lur'e system are considered as illustrative examples.
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