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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。
Aiming at the generalized projective synchronization of principal and subordinate chaotic systems with uncertainties and external disturbances, an adaptive fuzzy sliding mode variable structure control method is proposed. A fuzzy sliding mode variable structure controller and adaptive control law are designed. Lyapunov stability theory proves the feasibility and stability of the proposed scheme. The designed controller is robust to unknown uncertainties and external disturbances, and can be used to change the proportionality factor of generalized projective synchronization and obtain the chaotic signal with arbitrary ratio to the output of the original driving chaotic system. The numerical simulation of the Duffing-Holmes system is carried out to verify the effectiveness of the proposed controller.