一类不确定混沌系统的自适应模糊滑模广义投影同步

针对具有不确定性和外部干扰的主从混沌系统的广义投影同步问题,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,并利用Lyapunov稳定性理论证明了所提方案的可行性和稳定性。所设计的控制器不受未知不确定性和外部干扰的影响,具有很强的鲁棒性,并可改变广义投影同步的比例因子,获得任意比例于原驱动混沌系统输出的混沌信号。通过对不确定主从Duffing-Holmes系统的数值仿真试验,验证了所设计控制器的有效性。

Chaos Generalized Projective Synchronization with Uncertainties via Adaptive Fuzzy Sliding-mode Controller

An adaptive fuzzy sliding mode variable structure control approach is proposed for the generalized projective synchronization of a class of master-slave chaotic system with uncertainties and external disturbance.A fuzzy sliding mode variable structure controller and an adaptive control law are designed and the stability of the control system is proved according to the Lyapunov stability theory.The proposed controller has strong robust property since it is beyond the impact of unknown uncertainty and external disturbance.The chaotic signal in any proportion to the primary driving system is obtained by changing the scale factor of generalized projective synchronization.Simulation results of the uncertain master-slave Duffing-Holmes systems show the efficiency of the proposed controller.