飞轮调速器反馈控制系统的混沌及控制
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Chaos and control in flywheel governor with feedback control device
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    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.

    Abstract:

    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 Poincaré map. A method of controlling chaos by proportional and differential controller was developed to guide chaotic motions towards regular motions. Numerical simulation shows the effectiveness and applicability of this method. The allowable range controlling variable and the steady orbit of the system under controlling were obtained.

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王靖岳,王浩天.飞轮调速器反馈控制系统的混沌及控制[J].动力学与控制学报,2008,6(2):134~137; Wang Jingyue, Wang Haotian. Chaos and control in flywheel governor with feedback control device[J]. Journal of Dynamics and Control,2008,6(2):134-137.

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  • 收稿日期:2007-09-10
  • 最后修改日期:2007-11-30
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