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Modified projective synchronization of fractional-order chaotic systems via active sliding mode control

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Abstract

This paper is devoted to study the problem of modified projective synchronization of fractional-order chaotic system. Base on the stability theorems of fractional-order linear system, active sliding mode controller is proposed to synchronize two different fractional-order systems. Moreover, the controller is robust to the bounded noise. Numerical simulations are provided to show the effectiveness of the analytical results.

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Authors and Affiliations

  1. Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, 116024, China

    Xingyuan Wang, Xiaopeng Zhang & Chao Ma

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  1. Xingyuan Wang
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  2. Xiaopeng Zhang
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  3. Chao Ma
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Correspondence to Xingyuan Wang.

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Wang, X., Zhang, X. & Ma, C. Modified projective synchronization of fractional-order chaotic systems via active sliding mode control. Nonlinear Dyn 69, 511–517 (2012). https://doi.org/10.1007/s11071-011-0282-1

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  • DOI: https://doi.org/10.1007/s11071-011-0282-1

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