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 andsynchronizer 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 unstableequilibrium at the origin. Next, we design an adaptive backstepping controller to achieve global chaossynchronization of the identical Arneodo chaotic systems with unknown parameters. MATLAB simulationshave been detailed to illustrate the proposed adaptive backstepping controller and synchronizer design forArneodo chaotic system with unknown parameters.