首页> 外文会议>International Conference on Mechanical Engineering and Mechanics vol.1; 20051026-28; Nanjing(CN) >Chaos Controlling Problems for Mechanical Centrifugal Flywheel Governor Systems by Delayed Feedback
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Chaos Controlling Problems for Mechanical Centrifugal Flywheel Governor Systems by Delayed Feedback

机译:机械离心飞轮调速系统的延迟反馈混沌控制问题。

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The complex dynamics characters of the mechanical centrifugal flywheel governor system are studied. The dynamical equation and the state equation of the mechanical centrifugal flywheel governor system are established according to Lagrangian equations. By the phase portraits, the motions of the nonautonomous system are studied under the definite parameters. And by Poincare map, the route from periodic motion to chaos is studied under the presented system parameters. A method of chaos controlling by employing a delayed feedback controller is developed to guide chaotic motions towards regular motions. When the delay time equals to the cycle 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 of the controlling variables and the steady orbit of the system under controlling are obtained.
机译:研究了机械式离心飞轮调速器系统的复杂动力学特性。根据拉格朗日方程,建立了机械式离心飞轮调速器系统的动力学方程和状态方程。通过相图,研究了非自治系统在确定参数下的运动。并通过庞加莱图,在给出的系统参数下研究了从周期性运动到混沌的路径。开发了一种通过使用延迟反馈控制器进行混沌控制的方法,以将混沌运动引向规则运动。当延迟时间等于不稳定轨道的周期时,该方法控制了系统的混乱。数值仿真表明了该方法的有效性和适用性。获得了控制变量的允许范围和受控系统的稳定轨道。

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