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A novel fractional sliding mode control configuration for synchronizing disturbed fractional-order chaotic systems

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Abstract

In this paper, a new design of fractional-order sliding mode control scheme is proposed for the synchronization of a class of nonlinear fractional-order systems with chaotic behaviour. The considered design approach provides a set of fractional-order laws that guarantee asymptotic stability of fractional-order chaotic systems in the sense of the Lyapunov stability theorem. Two illustrative simulation examples on the fractional-order Genesio–Tesi chaotic systems and the fractional-order modified Jerk systems are provided. These examples show the effectiveness and robustness of this control solution.

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Authors and Affiliations

  1. Department of Electrical Engineering, 20th August 1955 University of Skikda, 21000 , Skikda, Algeria

    Karima Rabah

  2. Department of E.E.A., National Polytechnic School of Constantine, B.P. 75A, 25100 , Ali Mendjeli, Constantine, Algeria

    Samir Ladaci

  3. Department of Science and Technology, University Larbi Ben M’Hidi of Oum El-Bouaghi, 04000,  Oum El-Bouaghi, Algeria

    Mohamed Lashab

Authors
  1. Karima Rabah
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  2. Samir Ladaci
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  3. Mohamed Lashab
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Correspondence to Samir Ladaci.

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Rabah, K., Ladaci, S. & Lashab, M. A novel fractional sliding mode control configuration for synchronizing disturbed fractional-order chaotic systems. Pramana - J Phys 89, 46 (2017). https://doi.org/10.1007/s12043-017-1443-7

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  • DOI: https://doi.org/10.1007/s12043-017-1443-7

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