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Fractional‐Order Sliding Mode Synchronization for Fractional‐Order Chaotic Systems

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  • Chenhui Wang

Abstract

Some sufficient conditions, which are valid for stability check of fractional‐order nonlinear systems, are given in this paper. Based on these results, the synchronization of two fractional‐order chaotic systems is investigated. A novel fractional‐order sliding surface, which is composed of a synchronization error and its fractional‐order integral, is introduced. The asymptotical stability of the synchronization error dynamical system can be guaranteed by the proposed fractional‐order sliding mode controller. Finally, two numerical examples are given to show the feasibility of the proposed methods.

Suggested Citation

  • Chenhui Wang, 2018. "Fractional‐Order Sliding Mode Synchronization for Fractional‐Order Chaotic Systems," Advances in Mathematical Physics, John Wiley & Sons, vol. 2018(1).
    • Handle: RePEc:wly:jnlamp:v:2018:y:2018:i:1:n:3545083
    DOI: 10.1155/2018/3545083
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    References listed on IDEAS

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    1. Ge, Zheng-Ming & Ou, Chan-Yi, 2007. "Chaos in a fractional order modified Duffing system," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 262-291.
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