Synchronization on unified chaotic systems via PI-type terminal synergetic control

In this paper, a PI-type terminal synergetic control scheme is proposed for synchronization on two different chaotic systems. Based on the synergetic control theory and the terminal attractor approach, a nonlinear controller is designed to synchronize two different chaotic systems and it can ensure that the states of the controlled response system synchronize the states of the master system at finite time. Computer simulations are performed to demonstrate the effectiveness and feasibility of the proposed control scheme.