Synchronization Research of Different-structure Chaotic System based on Sliding Mode Variable Structure Control

In this paper, a nonlinear control method used to make two different chaotic systems achieve synchronization within finite time is designed based on the sliding mode variable structure control theory and the driving response control method. In this method, the reaching law of the sliding mode variable structure may be adjusted to make the sliding mode become stable at a given moment, and make the state error on the sliding mode surface converge to zero globally and rapidly in the form of terminal sliding mode, so as to achieve speedy and accurate synchronization of the different-structure chaotic system. The theoretical analysis and the simulation result verify the availability of the method together.