Fractional-order chaotic synchronization with unknown and uncertain via a new fuzzy sliding mode control

The paper discusses the problem of uncertain fractional-order chaotic systems synchronization control, and the adaptive fuzzy sliding mode control is studied. In this paper, fuzzy systems are used to model nonlinear uncertain parts. And the external disturbances and unknown uncertainties can be approximated by fuzzy systems. Fuzzy sliding mode control can eliminate the chattering, realize fast synchronization of master-slave chaotic system control. Finally, two kinds of same structure uncertain fractional-order chaotic system simulations are used to test the feasibility and effectiveness of the presented method.