Fractional-order memristor-based chaotic system with a stable equilibrium point, its fractional-order PI-based sliding mode control and switching synchronisation
PANKAJ PRAKASH JAY PRAKASH SINGH BINOY KRISHNA ROY
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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 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.
PANKAJ PRAKASH1 JAY PRAKASH SINGH1 BINOY KRISHNA ROY1
Volume 97, 2023
Continuous Article Publishing mode
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