SYNCHRONIZATION CONTROL DESIGN OF FRACTIONAL-ORDER JAFARI–SPROTT CHAOTIC SYSTEMS

Abstract

The synchronization problem for fractional-order Jafari–Sprott chaotic systems is investigated. Two primary synchronization control laws are proposed to achieve the chaotic synchronization of the system without/with uncertainties. For the simple fractional-order Jafari–Sprott chaotic system without considering uncertainties, active control is proposed to achieve chaotic synchronization. In addition, a robust synchronization control is realized for the corresponding chaotic system with uncertainties, by adopting a fractional-order sliding mode control strategy. The controller parameters could be adjusted based on the stability theory of the fractional-order system and the fractional-order sliding mode theory, respectively. As illustrated by numerical examples, the proposed active control law and slide mode control strategy could work well and accurately.