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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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 Lyapunov exponents, bifurcation diagrams, instantaneous phase plot, attractor analyses and frequency spectrum plots. A fractional-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.
KeywordsChaotic behaviour hidden attractors fractional order memristor-based chaotic system fractional-order integral sliding mode controller switching synchronisation
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