Synchronization control of Fractional-order Hyperchaotic Systems

An active adaptive sliding mode controller is investigated for synchronization of fractional-order hyperchaotic systems with uncertainties and external disturbances in the study. A fractional sliding surface is designed and an active adaptive sliding mode controller is designed using Lyapunov stability theorems. In this method, the bound of the uncertainties and external disturbances are estimated through the adaptive updating law. The synchronization scheme is global and theoretically rigorous. Simulation studies have shown the proposed controllers can get good control effects.