LQR控制和时滞反馈控制在汽车整车减振中的应用

本文建立了具有动力吸振器的汽车整车模型,分别研究了LQR控制和时滞反馈控制在降低汽车整车垂向振动方面的应用。对于LQR控制,选取了包含车身位移、速度和控制力在内的性能指标,借助matlab求解得到反馈增益矩阵;对于时滞反馈控制,首先采用特征值法分析了系统的稳定性,其次从理论上研究了时滞和反馈增益系数对吸振器减振效果的影响,并进行了数值验证。结果表明,与被动式吸振器相比,在LQR控制下吸振器使车身加速度幅值降低了51.38%,在时滞反馈控制下,当g=0.25 kg,τ=0.006 s时吸振器使车身加速度幅值降低了65.13%。

Applications of LQR and Time-delayed Feedback Control in Vibration Reduction of the Vehicle

In this paper,a vehicle model with a dynamic vibration absorber is established.The applications of LQR control and time-delayed feedback control in reducing the vertical vibration of the vehicle are studied respectively.For LQR control,performance indicators including body displacement,body velocity and control force are selected,and the feedback gain matrix is solved by Matlab.For time-delayed feedback control,the stability of the system is firstly analyzed by eigenvalue analysis method.Secondly,the effects of time delay and feedback gain coefficient on the performance of the absorber are studied theoretically,and the theorical results are verified by numerical simulations.The results show that compared with the passive absorber,the acceleration amplitude of the vehicle body is reduced by 51.38%with the active absorber under LQR control,while the acceleration amplitude of the vehicle body is reduced by 65.13%with the active absorber under time-delayed feedback control when g=0.25 kg,t=0.006 s.