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研究了一类具有未知扇区非线性输入且含有未知不确定性和外部干扰的主从混沌系统的投影同步问题.首先选择了一个合适的滑模面,然后基于Lyapunov稳定性理论设计滑模控制器和自适应更新规则.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.通过对不确定主从Duffing-Holmes系统的仿真研究,验证了所设计控制器的有效性.
This paper studies the projective synchronization of a class of principal and subordinate chaotic systems with unknown sector non-linear input and unknown uncertainties and external disturbances.Firstly, an appropriate sliding mode surface is selected and then the sliding mode control is designed based on the Lyapunov stability theory And adaptive updating rules.The designed controller is robust to unknown uncertainties and external disturbances.Based on the simulation of the Duffing-Holmes system with uncertainties, the proposed controller is verified to be robust The effectiveness of the controller.