• Fractional-order memristor-based chaotic system with a stable equilibrium point, its fractional-order PI-based sliding mode control and switching synchronisation

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      https://www.ias.ac.in/article/fulltext/pram/092/02/0019

    • Keywords

       

      Chaotic behaviour; hidden attractors; fractional order; memristor-based chaotic system; fractionalorder integral sliding mode controller; switching synchronisation

    • Abstract

       

      In this paper,we discuss a new fractional-order memristor-based three-dimensional chaotic system with a stable equilibrium point. The proposed system belongs to the category of hidden attractors dynamical system. The system is new in the sense that it is a fractional-order memristor-based chaotic system and exhibits hidden attractors. The chaotic behaviour of the system is accessed by various numerical techniques such as Lyapunovexponents, bifurcation diagrams, instantaneous phase plot, attractor analyses and frequency spectrum plots. Afractional-order proportional integral (PI)-based sliding mode control is designed for chaos suppression of the proposed system. Further, the switching synchronisation of the new system in the form of the master and the slave systems is presented.

    • Author Affiliations

       

      PANKAJ PRAKASH1 JAY PRAKASH SINGH1 BINOY KRISHNA ROY1

      1. Department of Electrical Engineering, National Institute of Technology, Silchar, Silchar 788 010, India
    • Dates

       
  • Pramana – Journal of Physics | News

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