摘要
建立了飞轮调速器反馈控制系统的动力学方程,利用系统的相图和Poincaré映射图分析了系统的混沌形成过程.通过对飞轮调速器反馈控制系统增加一个比例微分反馈控制器,利用它控制系统从混沌运动转化为周期运动.数值仿真表明了该控制方法在飞轮调速器反馈控制系统的混沌控制中的有效性与可行性,可利用适当的控制强度镇定系统中不稳定的周期轨道.
The complex dynamics characters of flywheel governor with feedback control device were studied. The dynamical equation and the state equation of flywheel governor with feedback control device were established according to Lagrangian equations. The chaos forming process of the system was studied by the phase portrait and Poincare map. A method of controlling chaos by proportional and differential controller was developed to guide chaotic motions towards regular motions. method. The allowable range controlling rained. Numerical simulation shows variable and the steady orbit the effectiveness and applicability of this of the system under controlling were obtained.
出处
《动力学与控制学报》
2008年第2期134-137,共4页
Journal of Dynamics and Control
