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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/55125

    Title: Adaptive Synchronization Design for Chaotic Systems via a Scalar Driving Signal
    Authors: Lian, Kuang-yow;Liu, Peter;Chiang, Tung-sheng;Chiu, Chian-song
    Contributors: 淡江大學電機工程學系
    Date: 2002-01
    Issue Date: 2011-08-16 20:35:43 (UTC+8)
    Publisher: Piscataway: Institute of Electrical and Electronics Engineers
    Abstract: Using a scalar driving signal, synchronization for a class of chaotic systems has been developed. For chaotic systems characterized by nonlinearity, which depend only on the available output, a unified approach is developed by carefully extending the conventional adaptive observer design. For exactly known chaotic systems, an exponential convergence of synchronization is achieved in the large. When mismatched parameters are presented, this method performs the asymptotic synchronization of output state in the large. The convergence of the estimated parameter error is related to an implicit condition of persistent excitation (PE) on internal signals. From the broad spectrum characteristics of the chaotic driving signal, we reformulate the implicit PE condition as an condition on injection inputs. If this condition is satisfied, the estimated parameters converge to true values and exponential synchronization of all internal states is guaranteed. Two typical examples, including Duffing-Holmes system and Chua's circuit, are considered as illustrations to demonstrate the effectiveness of the adaptive synchronizer. Furthermore, the robustness of adaptive synchronization in the presence of measurement noise is considered where the update law is modified. Finally, numerical simulations and DSP-based experiments show the validity of theoretical derivations
    Relation: IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 49(1), pp.17-27
    DOI: 10.1109/81.974871
    Appears in Collections:[Graduate Institute & Department of Electrical Engineering] Journal Article

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