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考虑界面接触的磁悬浮轴承-转子系统建模及鲁棒控制

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磁悬浮轴承-转子系统中,螺栓连接装配形成的界面接触会在转子悬浮状态下激发弯曲模态振动,同时振动频率随转速明显变化.为实现全转速范围内对弯曲模态振动的主动控制,提出一种考虑频率不确定性的H∞鲁棒控制器设计方法.首先,通过建立考虑界面接触的动力学模型进行仿真预测,获得振动频率的变化范围;其次,通过频响拟合的方式对转子传递函数进行重构,并将仿真得到的振动频率变化范围以加性不确定性方式引入到重构传递函数中,得到考虑模态频率不确定性的被控对象模型;最后,基于该模型设计兼顾参数摄动和外力扰动的鲁棒性、闭环系统稳定性和防止控制电压饱和等多功能的H∞鲁棒控制器.数值仿真结果表明:该控制器在模态频率处具有宽频带阻的频响特性,能够抑制磁悬浮轴承转子系统的弯曲模态振动;采用该方法设计的H∞鲁棒控制器后,转子弯曲模态振动幅值最少减小90%.
Modeling and Robust Control of Magnetic Bearing-Rotor System Considering Interface Contact
In magnetic bearing-rotor systems,the bending mode vibration may be excited by the interface contact formed by bolt joints during rotor levitation,and the vibration frequency varies with rotation speed.To actively control bending mode vibration at any speed,the design method of a robust H∞ controller considering frequency uncertainty was proposed.Firstly,the dynamic model considering interface contact was established for numerical simulation,and the vibration frequency variation was obtained.Then,the rotor transfer function was reconstructed by frequency response fitting,and the variation range of vibration frequency obtained by simulation was introduced into the reconstructed transfer function by means of additive uncertainty.As a result,a controlled object model considering mode frequency uncertainty was obtained.Finally,based on the model,the robust H∞controller was designed by taking the robustness to parameter perturbations and external disturbance,closed-loop system stability,control voltage saturation,and other functions into account.The numerical simulation results show that the controller has the frequency response characteristic of wide band resistance at the mode frequency,which is able to suppress the bending mode vibration of the magnetic bearing-rotor system.After the robust H∞controller designed by this method is used,the bending mode vibration amplitude of the rotor is reduced by more than 90%.

active magnetic bearinginterface contactmode vibrationrobust control

周扬、周瑾、王艺宇、张越、徐园平

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南京航空航天大学机电学院,江苏南京 210016

主动磁悬浮轴承 界面接触 模态振动 鲁棒控制

国家自然科学基金南京市级重大科技专项

52075239202209011

2024

西南交通大学学报
西南交通大学

西南交通大学学报

CSTPCD北大核心
影响因子:0.973
ISSN:0258-2724
年,卷(期):2024.59(4)
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