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

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.

Automated summary

This paper presents the design of an adaptive controller to solve the synchronization control problem of two identical Nwachioma chaotic systems in a master-slave configuration. The closed-loop stability is guaranteed by a Lyapunov-like analysis. Numerical simulations comparing the proposed approach with an active control algorithm are conducted to verify feasibility and performance. Experimental testing of the master-slave Nwachioma chaotic system using two personal computers and two low-cost Arduino UNO boards demonstrates both the effectiveness of the adaptive control and the suitability of Arduino UNO boards for the experimental setup.