Fuzzy sliding mode control and synchronization of uncertain willis chaotic systems

The chaotic control and synchronization problem of nonlinear systems of aneurysm of circle of Willis with uncertainties is presented. A fuzzy sliding mode variable structure control approach is proposed for the problem. A fuzzy sliding mode variable structure controller is designed and the stability of the control system is proved by stability theory. Using this controller, the controlled Willis aneurysm system can drive system orbits asymptotically to arbitrary object trajectories and the controller is robust to uncertainties. Tracking control and synchronization simulations are presented to demonstrate the effectiveness of the controller.