Adaptive Backstepping Controller and Synchronizer Design for Arneodo Chaotic System with Unknown Parameters

In this paper, we apply backstepping control method to derive new results for the adaptive controller and synchronizer design for the Arneodo chaotic system (1980), when the system parameters are unknown. First, we design an adaptive backstepping controller to stabilize the Arneodo system to its unstable equilibrium at the origin. Next, we design an adaptive backstepping controller to achieve global chaos synchronization of the identical Arneodo chaotic systems with unknown parameters. MATLAB simulations have been detailed to illustrate the proposed adaptive backstepping controller and synchronizer design for Arneodo chaotic system with unknown parameters.