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Nonidentical Chaotic Secure Communication Using Proportional Integral Sliding Mode Control Technique

This paper puts forward a secure communication scheme based on synchronisation between nonidentical (topologically non-equivalent) chaotic systems using sliding mode control (SMC) technique. A drive-response philosophy is used where one chaotic system is known as a transmitter and other chaotic system with controller is termed as a receiver. Lu chaotic system is considered as a drive system and Bhalekar-Gejji (BG) chaotic system is considered as a response system. Proportional integral (PI) sliding surfaces are designed to achieve synchronisation between nonidentical chaotic systems to achieve secure communication. Sliding mode control law is designed to ensure the system trajectories to the designed sliding surfaces. Required asymptotic stability condition is derived using Lyapunov stability theory. MATLAB simulation environment is used for numerical simulation of the proposed communication scheme. Simulation results reveal the successful achievement of the proposed nonidentical chaotic systems synchronisation based concept to secure communication.