Abstract: The chaotic control and synchronization problem of nonlinear systems of aneurysm of circle of Willis with uncertainties is presented.An adaptive fuzzy sliding mode variable structure control approach is proposed.A fuzzy sliding mode variable structure controller and an adaptive control law are designed and the stability of the control system is proved theoretically.Using this controller，the controlled Willis aneurysm system can drive system orbits asymptotically to arbitrary target orbits and the controller is robust to uncertainties.Tracking control and synchronization simulations results show the effectiveness of the controller.

摘要： 研究了具有不确定项的非线性Willis环上脑动脉瘤系统的混沌控制和同步问题，提出了一种自适应模糊滑模变结构控制方法，设计了模糊滑模变结构控制器及自适应控制律，并从理论上证明了控制系统的稳定性。在该控制器的作用下，受控Willis脑动脉瘤系统能够达到任意目标轨道，且不受不确定性的影响，具有很强的鲁棒性。定值跟踪和同步控制的仿真结果表明了控制器的有效性。