Design of H_∞ synchronization controller for uncertain chaotic systems with neural network

A synchronization controller is designed based on disturbance observer for two uncertain chaotic systems in this paper. The compound disturbance of the synchronization error system consists of non-linear uncertainties and exterior disturbance of two chaotic systems. The compound disturbance observer is proposed based on RBF neural networks and the parameter's update law is given for monitoring the compound disturbance. The output of the compound disturbance observer is used to design synchronization controller. The designed synchronization controller can make the synchronization error converge to zero. Finally, an example is given to demonstrate the availability of the proposed synchronization control method.