Research on the Synchronization Control Algorithm of Memristor Chaotic System under Single-Input Feedback Control

This paper studies the synchronization control algorithm of memristor chaotic system under single-input feedback control. This paper proposes a synchronization algorithm based on single-input feedback control. The algorithm realizes the synchronization control of memristor chaotic system based on reducing control input. Then, a single-input feedback controller is designed based on the mathematical model of memristor chaotic system to ensure the stability of synchronization. Then, the convergence of the control algorithm is verified by Lyapunov stability theory. This paper also constructs a simulation model of the system in MATLAB environment and performs numerical simulation on the proposed synchronization control algorithm. The simulation results show that the system synchronization error converges to zero under the set parameter conditions, indicating the effectiveness and accuracy of the algorithm. In addition, the control accuracy is further quantified by comparing different feedback control gain parameters. The results show that the adjustment of feedback gain can significantly improve the response speed and accuracy of system synchronization. The synchronization control algorithm of memristor chaotic system based on single-input feedback control proposed in this paper has been effectively verified both theoretically and numerically, and has good application potential.