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Robust Synchronization of Incommensurate Fractional-Order Chaotic Systems via Second-Order Sliding Mode Technique

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  • Hua Chen
  • Wen Chen
  • Binwu Zhang
  • Haitao Cao

Abstract

A second-order sliding mode (SOSM) controller is proposed to synchronize a class of incommensurate fractional-order chaotic systems with model uncertainties and external disturbances. Based on the chattering free SOSM control scheme, it can be rigorously proved that the dynamics of the synchronization error is globally asymptotically stable by using the Lyapunov stability theorem. Finally, numerical examples are provided to illustrate the effectiveness of the proposed controller design approach.

Suggested Citation

  • Hua Chen & Wen Chen & Binwu Zhang & Haitao Cao, 2013. "Robust Synchronization of Incommensurate Fractional-Order Chaotic Systems via Second-Order Sliding Mode Technique," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-11, July.
    • Handle: RePEc:hin:jnljam:321253
    DOI: 10.1155/2013/321253
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    Cited by:

    1. DAŞBAŞI, Bahatdin, 2020. "Stability analysis of the hiv model through incommensurate fractional-order nonlinear system," Chaos, Solitons & Fractals, Elsevier, vol. 137(C).

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