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Active Sliding Mode Control Antisynchronization of Chaotic Systems with Uncertainties and External Disturbances

Author

Listed:
  • Wafaa Jawaada
  • M. S. M. Noorani
  • M. Mossa Al-sawalha

Abstract

The antisynchronization behavior of chaotic systems with parametric uncertainties and external disturbances is explored by using robust active sliding mode control method. The sufficient conditions for achieving robust antisynchronization of two identical chaotic systems with different initial conditions and two different chaotic systems with terms of uncertainties and external disturbances are derived based on the Lyapunov stability theory. Analysis and numerical simulations are shown for validation purposes.

Suggested Citation

  • Wafaa Jawaada & M. S. M. Noorani & M. Mossa Al-sawalha, 2012. "Active Sliding Mode Control Antisynchronization of Chaotic Systems with Uncertainties and External Disturbances," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:293709
    DOI: 10.1155/2012/293709
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    References listed on IDEAS

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    1. Zribi, Mohamed & Smaoui, Nejib & Salim, Haitham, 2009. "Synchronization of the unified chaotic systems using a sliding mode controller," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3197-3209.
    2. Zhao, Yang & Wang, Wei, 2009. "Chaos synchronization in a Josephson junction system via active sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 60-66.
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    Cited by:

    1. Qing Wang & Yongguang Yu & Hu Wang, 2014. "Robust Synchronization of Hyperchaotic Systems with Uncertainties and External Disturbances," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).

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