Adaptive Sliding Mode Synchronization of Different Hyperjerk Chaotic Systems Using RBF Neural Network

Abstract

In this paper, we consider the synchronization of hyperjerk chaotic systems with different structures. Besides the order, the systems are unknown with external disturbances. We use sliding mode control method to deal with the external disturbances. Radial basis function (RBF) neural network is proposed to approximate the unknown system. Based on RBF neural network, adaptive sliding mode synchronization of different hyperjerk chaotic systems are introduced. Numerical results show the effectiveness of the synchronization scheme.