Synchronization for Uncertain Chaotic Systems with Channel Noise and Chaos-based Secure Communications

Abstract

In order to deal with the problems of chaotic synchronization and chaos-based secure communication for uncertain chaotic systems with channel noise, a robust sliding mode observer is constructed to synchronize the chaotic system which is regarded as the transmitter. By introducing an augmented vector, an augmented system is formed, and the channel noise of chaotic system is estimated by the robust sliding mode observer. Then, a first-order robust differentiator is considered to exactly estimate the derivative of drive signal. Based on the estimated states and the derivative of drive signal, a recovery method which can recover the information signal is proposed. For illustration, a numerical simulation is given to show the effectiveness of the proposed methods. The simulation results show that the receiver which is the combination of the robust sliding mode observer and the first-order differentiator can not only synchronize the transmitter but also recover the information signal. The proposed method can effectively achieve synchronization and information recovery when the chaotic system with channel noise is used as the transmitter.