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Fuzzy model-based adaptive synchronization of time-delayed chaotic systems

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  • Vasegh, Nastaran
  • Majd, Vahid Johari

Abstract

In this paper, fuzzy model-based synchronization of a class of first order chaotic systems described by delayed-differential equations is addressed. To design the fuzzy controller, the chaotic system is modeled by Takagi–Sugeno fuzzy system considering the properties of the nonlinear part of the system. Assuming that the parameters of the chaotic system are unknown, an adaptive law is derived to estimate these unknown parameters, and the stability of error dynamics is guaranteed by Lyapunov theory. Numerical examples are given to demonstrate the validity of the proposed adaptive synchronization approach.

Suggested Citation

  • Vasegh, Nastaran & Majd, Vahid Johari, 2009. "Fuzzy model-based adaptive synchronization of time-delayed chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1484-1492.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:3:p:1484-1492
    DOI: 10.1016/j.chaos.2007.09.030
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    References listed on IDEAS

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    1. Vasegh, Nastaran & Majd, Vahid Johari, 2006. "Adaptive fuzzy synchronization of discrete-time chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 1029-1036.
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    Cited by:

    1. Vasegh, Nastaran & Khellat, F., 2009. "Projective synchronization of chaotic time-delayed systems via sliding mode controller," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1054-1061.
    2. Yao, Qijia, 2021. "Neural adaptive learning synchronization of second-order uncertain chaotic systems with prescribed performance guarantees," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    3. Xiao, Jiang-Wen & Gao, Jiexuan & Huang, Yuehua & Wang, Yan-Wu, 2009. "Reduced-order adaptive control design for the stabilization and synchronization of a class of nonlinear chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1156-1162.
    4. Yao, Qijia & Alsaade, Fawaz W. & Al-zahrani, Mohammed S. & Jahanshahi, Hadi, 2023. "Fixed-time neural control for output-constrained synchronization of second-order chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).

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