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Novel Fuzzy-Modeling-Based Adaptive Synchronization of Nonlinear Dynamic Systems

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  • Shih-Yu Li
  • Chin-Sheng Chen
  • Lap-Mou Tam
  • Shun-Hung Tsai

Abstract

In this paper, a novel fuzzy-model-based adaptive synchronization scheme and its fuzzy update laws of parameters are proposed to address the adaptive synchronization problem. The proposed fuzzy controller does not share the same premise of fuzzy system, and the numbers of fuzzy controllers is reduced effectively through the novel modeling strategy. In addition, based on the adaptive synchronization scheme, the error dynamic system can be guaranteed to be asymptotically stable and the true values of unknown parameters can be obtained. Two identical complicated dynamic systems, Mathieu-Van der pol system (M-V system) with uncertainties, are illustrated for numerical simulation example to show the effectiveness and feasibility of the proposed novel adaptive control strategy.

Suggested Citation

  • Shih-Yu Li & Chin-Sheng Chen & Lap-Mou Tam & Shun-Hung Tsai, 2017. "Novel Fuzzy-Modeling-Based Adaptive Synchronization of Nonlinear Dynamic Systems," Complexity, Hindawi, vol. 2017, pages 1-8, March.
  • Handle: RePEc:hin:complx:5017127
    DOI: 10.1155/2017/5017127
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    References listed on IDEAS

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    1. Mourad Kchaou & Ahmed El-Hajjaji, 2017. "Resilient sliding mode control for discrete-time descriptor fuzzy systems with multiple time delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(2), pages 288-301, January.
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