Circuit simulation on control and synchronization of fractional order switching chaotic system. (English) Zbl 1540.93093
Summary: In view of obtaining a larger key space and thus improve the level of security attainable in chaotic communication, this paper examines the dynamics of a switched, fractional-order chaotic system. Taking the fractional-order Chen system as a starting point, the dynamics of a modified version of that system is examined, and the composed system is hereafter realized by allowing switching between the two different subsystems. Our work first demonstrates how fractional-order chaotic systems can be realized physically. For the fractional-order switching chaotic system, a linear feedback controller and a number of synchronization schemes are designed. Our simulations show that control and synchronization of the individual subsystems can be achieved with the same feedback and synchronization controller.
MSC:
| 93D15 | Stabilization of systems by feedback |
| 34A08 | Fractional ordinary differential equations |
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
| 37M05 | Simulation of dynamical systems |
| 94C05 | Analytic circuit theory |
| 93C30 | Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) |
Keywords:
fractional order; switching chaotic system; control and synchronization; circuit simulationSoftware:
Sprott's SoftwareReferences:
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