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Robust Adaptive Finite‐Time Synchronization of Two Different Chaotic Systems with Parameter Uncertainties

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  • Yun-An Hu
  • Hai-Yan Li
  • Chun-Ping Zhang
  • Liang Liu

Abstract

This paper is concerned with the finite‐time synchronization problem for two different chaotic systems with parameter uncertainties. Using finite‐time control approach and robust control method, an adaptive synchronization scheme is proposed to make the synchronization errors of the systems with parameter uncertainties zero in a finite time. On the basis of Lyapunov stability theory, appropriate adaptive laws are derived to deal with the unknown parameters of the systems. And the convergence of the parameter errors is guaranteed in a finite time. The proposed method can be applied to a variety of chaos systems. Numerical simulations are given to demonstrate the efficiency of the proposed control scheme.

Suggested Citation

  • Yun-An Hu & Hai-Yan Li & Chun-Ping Zhang & Liang Liu, 2012. "Robust Adaptive Finite‐Time Synchronization of Two Different Chaotic Systems with Parameter Uncertainties," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:607491
    DOI: 10.1155/2012/607491
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    References listed on IDEAS

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    1. Park, Ju H., 2006. "Chaos synchronization between two different chaotic dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 549-554.
    2. Wu, Xianyong & Zhang, Hongmin, 2009. "Synchronization of two hyperchaotic systems via adaptive control," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2268-2273.
    3. Haeri, Mohammad & Emadzadeh, Amir Abbas, 2007. "Synchronizing different chaotic systems using active sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 119-129.
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