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

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      https://www.ias.ac.in/article/fulltext/pram/089/03/0046

    • Keywords

       

      Sliding mode control; chaos synchronization; fractional-order chaotic system; Lyapunov stability

    • 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.

    • Author Affiliations

       

      KARIMA RABAH1 SAMIR LADACI2 MOHAMED LASHAB3

      1. Department of Electrical Engineering, 20th August 1955 University of Skikda, 21000 Skikda, Algeria
      2. Department of E.E.A., National Polytechnic School of Constantine, B.P. 75A, 25100 Ali Mendjeli, Constantine, Algeria
      3. Department of Science and Technology, University Larbi Ben M’Hidi of Oum El-Bouaghi, 04000 Oum El-Bouaghi, Algeria
    • Dates

       
  • Pramana – Journal of Physics | News

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