Integral observer approach for chaos synchronization with transmission disturbances

Guo-Ping Jiang, Wei Xing Zheng, Wallace Kit-Sang Tang, Guanrong Chen

    Research output: Chapter in Book / Conference PaperConference Paper

    Abstract

    ![CDATA[This paper addresses the issue of chaos synchronization with disturbances in the transmission channel. Using an integral observer approach, a new scheme for chaos synchronization is developed for a class of chaotic systems. Based on the Lyapunov stability theory, a sufficient condition is derived for chaos synchronization in the aforementioned setting. By using the Schur theorem and some matrix operation techniques, this criterion is then transformed into a Linear Matrix Inequality form, which can be easily verified and solved by using the MATLAB LMI Toolbox. It is then shown that under the proposed scheme and derived criterion, the effect of the transmission disturbances can be greatly reduced, and consequently chaos synchronization is achieved satisfactorily. The chaotic Murali-Lakshmanan-Chua system is simulated to verify the effectiveness of the scheme and to validate the criterion suggested in this paper.]]
    Original languageEnglish
    Title of host publicationIEEE Internation Symposium on Circuits and Systems: Proceedings: May 23-26, 2005, International Conference Center, Kobe, Japan: ISCAS 2005
    PublisherIEEE Computer Society
    Number of pages4
    ISBN (Print)0780388348
    Publication statusPublished - 2005
    EventIEEE International Symposium on Circuits and Systems -
    Duration: 20 May 2012 → …

    Conference

    ConferenceIEEE International Symposium on Circuits and Systems
    Period20/05/12 → …

    Keywords

    • transmission disturbances
    • chaos synchronization
    • Lyapunov stability theory
    • linear matrix inequalities
    • observers
    • stability

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