Memristive hyperchaos secure communication based on sliding mode control

Abstract

In order to enhance the chaotic degree of cellular neural network (CNN), the memristive characteristic is combined in CNN, and a five-dimensional memristive CNN hyperchaotic system is designed. A secure communication system based on chaos synchronization is constructed by the full-dimensional state observer theory. The sliding mode control method is used to control chaos synchronization between the sending end and the receiving end and improve the robustness to the parameter uncertainties and disturbances in the system. An improved sliding mode surface is designed, and its convergence time is analyzed. Image secure communication, as an example, is given to verify the effectiveness of the proposed method. Image encryption is implemented by the hyperchaotic system, and image decryption is implemented by chaos synchronization based on the sliding mode control. Simulation experiment results show that the proposed sliding mode control method can be used to achieve the chaos synchronization of the hyperchaotic systems with parameter uncertainties and disturbances, and the proposed memristive hyperchaotic system can be applied to the secure communication based on the chaos synchronization.