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Synchronization of Fractional‐Order Chaotic Systems with Gaussian Fluctuation by Sliding Mode Control

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  • Yong Xu
  • Hua Wang

Abstract

Chaotic systems are always influenced by some uncertainties and external disturbances. This paper investigates the problem of practical synchronization of fractional‐order chaotic systems with Gaussian fluctuation. A fractional integral (FI) sliding surface is proposed for synchronizing the uncertain fractional‐order system, and then the sliding mode control technique is carried out to realize the synchronization of the given systems. One theorem about sliding mode controller is presented to prove that the proposed controller can make the system achieve synchronization. As a case study, the presented method is applied to the fractional‐order Chen‐Lü system, and simulation results show that the proposed control approach is capable to go against Gaussian noise well.

Suggested Citation

  • Yong Xu & Hua Wang, 2013. "Synchronization of Fractional‐Order Chaotic Systems with Gaussian Fluctuation by Sliding Mode Control," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:948782
    DOI: 10.1155/2013/948782
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    References listed on IDEAS

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    Cited by:

    1. Sendren Sheng-Dong Xu, 2014. "Super‐Twisting‐Algorithm‐Based Terminal Sliding Mode Control for a Bioreactor System," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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