Synchronization Control between Two Different Chaotic Systems

摘要

In this paper, the problem of chaotic synchronization is studied. The systems under consideration have different structure and dynamical feature. Also the systems are subject to disturbances. The problem addressed is the design of a synchronization scheme such that, the response chaotic system has an adaptive controller which can synchronize the driving chaotic system. The nonlinear controller under consideration is composed of the estimations of the two systems' original parameters. Lyapunov function is developed to confirm the chaotic synchronization scheme. A numerical example is presented to show the effectiveness and efficiency of the proposed synchronization scheme.