Synchronisation of Unified Chaotic Systems Using Modified Nonlinear Active Control: Circuit Design, Implementation, and Secure Communication

Abstract

This paper accounts synchronisation of unified chaotic systems using a modified nonlinear active control technique, its circuit analogue circuit implementation, and secure communication. The proposed nonlinear active control approach utilises appropriate states of the unified chaotic systems. The modified nonlinear active control leads to the coupled error dynamics and does not require the external forcing parameters or gains, which differs from the active control techniques reported in the literature. The designed control law ensures the asymptotic stability in large, and the necessary condition is derived using Lyapunov stability theory. Further, the performance of the designed nonlinear active controller is compared based on different time integral performance of the errors with active, adaptive, and sliding mode control techniques. Numerical and circuit simulations are performed in MATLAB and NI-Multisim environments, respectively. Circuit simulated results accord to MATLAB simulation results. Further, unified chaotic system, its synchronisation, and application to secure communication are validated with breadboard circuit/hardware implementation.