利用延迟反馈方法控制调速器系统的混沌

Chaos Controlling Problems of Mechanical Centrifugal Flywheel Governor Systems by Delayed Feedback

通过对机械式离心调速器系统增加一个延迟反馈控制器,利用它控制系统从混沌运动转化为周期运动.当该控制器的延迟时间等于系统的某一条不稳定轨道的周期时,就能将处于混沌状态的系统控制到相应的不稳定周期轨道上,并将该轨道稳定化.数值仿真表明了该控制方法在机械式离心调速器系统混沌控制中的有效性与可行性,将系统的混沌行为利用适当的控制强度控制到稳定的周期轨道.

A method of controlling chaos by employing a delayed feedback controller is developed to guide chaotic motions towards regular motions. When the delayed time equals to the time of the unstable orbits, the chaos of the system is controlled by the method. The numerical simulation shows the effectiveness and applicability of this method. The allowable range controlling variables and the steady orbit of the system under controlling are obtained.