Duffing系统的非反馈法混沌控制

The Chaotic Control of Duffing Systems with Nonfeedback Methods

对Duffing系统混沌解进行非周期外激励控制、周期外激励控制和外激励相位控制,对它们进行数值仿真和理论分析。非周期外激励控制的控制项十分简单,容易实现,但难以做到微小控制而不改变系统本身。周期外激励控制采用微小周期控制项,但难以有好的控制效果。外激励相位控制采用微小信号控制并使控制信号与系统的不稳定周期轨道达到最佳相位匹配,获得最佳控制效果。

Duffing system's chaos is controlled with the nonperiodic external excitation control,the periodic external excitation control and the phase control. The numerical simulations and the theory analysis are carried out to the methods. The control term of the nonperiodic external excitation control is very simple and accomplished easily. It isn' t small so that the system will be changed. The small control is adopted in the periodic external excitation control. It is difficult to get good effect . The small control is adopted also in the phase control and the best phase matching between the control signal and the unstable periodic orbit is reached. Then the best effect of control is got.