Research on Hopf Bifurcation Control of Bogie Hunting Motion of High-Speed Trains
The bogie hunting stability directly determines the safe and smooth operation of the train at high speed.The use of active suspension technologies is an efficient way to improve the stability.At present,there is lack of research on the Hopf bifurcation mechanism and stability evolution of bogie hun-ting motion with applying active control.Hence,the Hopf bifurcation characteristics of hunting motion under the bogie yaw feedback control is studied.A three-degree-of-freedom simplified vehicle model in-cluding lateral and yaw motions of the bogie and lateral motion of the carbody is established.The actua-tor is adopted to replace the existing anti-hunting damper to provide the bogie yaw control torque.The bogie yaw angular displacement and angular velocity are taken as the state feedbacks and design the line-ar feedback controller.The Hopf bifurcation and limit cycle calculations are realized by using Matcont simulation.The results show that,compared with the bifurcation characteristics of passive suspension,the Hopf bifurcation points can be delayed by introducing two active control methods for bogie yaw angu-lar displacement and velocity,i.e,the linear critical speed of the system is increased.The amplitude of limit cycle and the frequency of hunting motion decrease under the control of bogie yaw angular velocity.While under the control of bogie yaw angular displacement,the frequency of hunting motion increases,and the amplitude of limit cycle has no obvious change.Therefore,under the reasonable selection of con-trol gain,the use of bogie yaw control can effectively improve the hunting stability of high-speed bogie.
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