Research on the algorithm of adaptive variable structure control and synchronization for a class of continuous-time chaotic system

Research on the problem of the control and synchronization for a class of continuous-time chaos system with unknown parameter and time-delayed property (CTCS-UP-TP) was investigated. An effective synchronization controlling algorithm combined variable structure control with adaptive parameter estimation was given under the certain hypothetical conditions. At the same time, the realizing principle of the presented nonlinear variable structure controller was analyzed and the asymptotic stability of the control and synchronization chaos system was proved. Furthermore, the simulation on the presented algorithm would be carried out, and the results illustrated that the designed controller was effective and valid.