用滑模控制方法实现具有扇区非线性输入的主从混沌系统同步

Sliding mode control for the synchronization of master-slave chaotic systems with sector nonlinear input

分析了一个具有扇区非线性输入且含有参数不确定性以及外部噪声干扰的主从混沌系统的同步控制问题.设计了一类同步滑模变结构控制器,并从理论上证明了该控制器的有效性.研究表明该控制器不受受控系统的参数变化和噪声干扰的影响,具有很强的鲁棒性.最后通过对主从Duffing_Holmes系统的仿真研究,验证了该控制器的有效性.

This paper analyses the synchronization control for a class of master-slave chaotic systems with parameter uncertainties, external noise disturbances and sector nonlinear input. It designs a class of sliding mode controllers for chaos synchronization, testifying theoretically that the effectiveness of the controller is beyond the impact from the parameter uncertainties and external noise disturbances of the system under control and thus it is of strong robust nature. Finally, the effectiveness of this kind of controller is also proved by numerical simulations for the master-slave Duffing-Holmes systems.