一类主从混沌系统的同步控制

Synchronous Control of a Class of Master-Slave Chaotic Systems

针对一般变结构控制方法存在高频抖振和需要事先已知不确定项的上界等不足,提出了自适应无抖振变结构控制方法,以实现一类含有不确定项及外部噪声干扰的主从混沌系统的同步控制.该控制方法不仅对参数变化和噪声干扰具有很强的鲁棒性,而且能消除滑模面附近的抖振现象且不需要不确定项的上界已知的条件.理论分析与仿真结果表明了该控制器的有效性.

The conventional variable structure control methods for controlling chaos have some drawbacks, such as high-frequency chattering and the need of a known upper bound of the uncertainty, an adaptive chattering-free variable structure control method for synchronization is proposed,in order to realize a class of master-slave chaotic systems with uncertainties and external noise disturbances, the study suggests that the method is not only more robust for noise disturbance and parameters mismatch in the error dynamics, but also does not need the upper bounds of the uncertainty in advance to eliminate the chattering phenomenon near the surface of sliding mould. Theoretical analysis and simulation results prove the effectiveness of the method.