Synchronization of a New Chaotic System Using Adaptive Control: Design and Experimental Implementation

Abstract

This paper presents the design of an adaptive controller that solves the synchronization control problem of two identical Nwachioma chaotic systems in a master-slave configuration. The closed-loop stability is guaranteed by means of a Lyapunov-like analysis. With the aim of verifying the feasibility and performance of the proposed approach, a comparison with an active control algorithm is developed at the numerical simulation level. Based on such results, the master-slave Nwachioma chaotic system in closed-loop with adaptive control is now being experimentally tested by using two personal computers and two low-cost Arduino UNO boards. The experimental results not only show the good performance of the adaptive control but also that Arduino UNO boards are an excellent option for the experimental setup.

Chaos Controllability in Non-Identical Complex Fractional Order Chaotic Systems via Active Complex Synchronization Technique

“…Chaotic synchronization is a phenomenon that concerns with the coupling of two or more chaotic systems possessing different initial conditions to achieve identical dynamics along with synchronization error converges asymptotically to zero with the evolution of time. After further studies, researchers introduced distinct types of synchronization methods, viz., complete [3], anti [4,5], lag [6,7], phase and anti-phase [8], combination [9], multi-switching [10], hybrid [11], projective [12], hybrid projective [13,14], hybrid function projective [15] and hybrid complex projective synchronization (HCPS) [16,17] by using different control methods such as active control [4,17,18], linear and nonlinear feedback technique [19][20][21], adaptive control [22][23][24], sliding mode control [25], active and adaptive sliding mode [26][27][28], robust adaptive sliding mode [9] and back-stepping design [29].…”