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Stability Analysis and Design of Time-Varying Nonlinear Systems Based on Impulsive Fuzzy Model

Author

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  • Yuangan Wang
  • Honglin Yu
  • Xiaohong Zhang
  • Dong Li

Abstract

This paper develops a general analysis and design theory for nonlinear time-varying systems represented by impulsive T-S fuzzy control model, which extends conventional T-S fuzzy model. In the proposed, model impulse is viewed as control input of T-S model, and impulsive distance is the major controller to be designed. Several criteria on general stability, asymptotic stability, and exponential stability are established, and a simple design algorithm is provided with stability of nonlinear time-invariant systems. Finally, the numerical simulation for the predator-prey system with functional response and impulsive effects verify the effectiveness of the proposed methods.

Suggested Citation

  • Yuangan Wang & Honglin Yu & Xiaohong Zhang & Dong Li, 2012. "Stability Analysis and Design of Time-Varying Nonlinear Systems Based on Impulsive Fuzzy Model," Discrete Dynamics in Nature and Society, Hindawi, vol. 2012, pages 1-16, February.
    • Handle: RePEc:hin:jnddns:192546
    DOI: 10.1155/2012/192546
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    Cited by:

    1. Wang, Yuangan & Yu, Honglin, 2018. "Fuzzy synchronization of chaotic systems via intermittent control," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 154-160.

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