Chaotic synchronization problem of finite-time convergence based on exponential fast terminal sliding mode

In order to solve the problem of finite-time synchronization for chaotic system, exponential fast terminal sliding mode was designed based on finite-time fast convergence of exponential sliding attractor. A novel sliding mode variable structure control for the synchronization of a class of chaotic systems was proposed. Results show that variables can reach the sliding mode surface with a fast convergence rate in the finite time and converge at the equilibrium point finally; The system has a good dynamic stability in which the synchronization time can be calculated, and the chaotic synchronization problem of finite-time convergence can be solved. The feasibility and effectivness of this control strategy were verified with the example of Chen chaotic system.