延迟反馈法对Bragg声光双稳系统混沌的控制

Chaos control of the external perturbation feedback in Bragg acousto-optic bistable system

针对Bragg声光双稳系统的混沌态,提出了利用延迟反馈的方法对系统参量进行控制的方法,并讨论了连续、间隙两种控制方法下系统的状态演化。数值分析表明,适当选择反馈强度可将系统的混沌态稳定到各种不同的周期轨道上。间隙反馈控制不仅具有可控范围大、控制代价小的优势,还能将系统的稳态周期数控制为间隙反馈周期的整数倍。

In this paper, a method of chaos control in Bragg acousto- optic bistable（AOB） system is proposed by using delay feedback acting on system parameter. The state evolvement of system is discussed by using method of continuous control and occasional control respectively. Results of numerical simulations show that the system can be controlled to different stable periodic orbits by choosing feedback intensity properly. The occasional feedback control gains the advan- tage over other methods not only for its much more control area and less control cost, but also making the steady period of system as the integral multiple of the occasional feedback period.