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Adaptive Fuzzy Synchronization of Fractional‐Order Chaotic Neural Networks with Backlash‐Like Hysteresis

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  • Wenqing Fu
  • Heng Liu

Abstract

An adaptive fuzzy synchronization controller is designed for a class of fractional‐order neural networks (FONNs) subject to backlash‐like hysteresis input. Fuzzy logic systems are used to approximate the system uncertainties as well as the unknown terms of the backlash‐like hysteresis. An adaptive fuzzy controller, which can guarantee the synchronization errors tend to an arbitrary small region, is given. The stability of the closed‐loop system is rigorously analyzed based on fractional Lyapunov stability criterion. Fractional adaptation laws are established to update the fuzzy parameters. Finally, some simulation examples are provided to indicate the effectiveness and the robust of the proposed control method.

Suggested Citation

  • Wenqing Fu & Heng Liu, 2018. "Adaptive Fuzzy Synchronization of Fractional‐Order Chaotic Neural Networks with Backlash‐Like Hysteresis," Advances in Mathematical Physics, John Wiley & Sons, vol. 2018(1).
    • Handle: RePEc:wly:jnlamp:v:2018:y:2018:i:1:n:7535628
    DOI: 10.1155/2018/7535628
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    References listed on IDEAS

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    1. Heng Liu & Ye Chen & Guanjun Li & Wei Xiang & Guangkui Xu, 2017. "Adaptive Fuzzy Synchronization of Fractional-Order Chaotic (Hyperchaotic) Systems with Input Saturation and Unknown Parameters," Complexity, Hindawi, vol. 2017, pages 1-16, November.
    2. Hassan A. Yousef & Mohamed Hamdy & Kyrillos Nashed, 2017. "Adaptive fuzzy controller for a class of nonlinear systems with unknown backlash-like hysteresis," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(12), pages 2522-2533, September.
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