On The Anti-Synchronization Of Fractional-Order Chaotic And Hyperchaotic Systems Via Modified Adaptive Sliding-Mode Control

This paper investigates the anti–synchronization problem between two different fractional-order chaotic and hyperchaotic systems using modified adaptive sliding mode control technique in presence of uncertain system parameters. To construct proposed scheme, a simple surface is first designed. Then, sliding-mode controller derived to guarantee occurrence motion. Based on Lyapunov stability theory, controllers with corresponding parameter update laws are designed such that can be anti–synchronized asymptotically. Finally, numerical simulations presented demonstrate efficiency scheme.