【摘要】 提出了一种轮对蛇行运动 Hopf分岔的非线性反馈控制方法 ,通过对系统施加非线性反馈控制 ,使系统的分岔型式由亚临界 Hopf分岔转变为超临界 Hopf分岔 ,大大提高了机车稳定运行的运行速度。通过理论分析和数值计算发现 :非线性反馈控制项系数 c4 是改变系统分岔型式的主要参数 ,增大系数 c4 不仅改善了系统的运行稳定性 ,而且提高了乘坐的舒适性 ;增大非线性反馈控制项系数 c1 可提高系统的线性临界速度更多还原

【Abstract】 An analytical investigation of HOPF bifurcation control and hunting behavior of a rail wheelset with nonlinear feedback control is presented in this paper.The non-linearity takes into account the nonlinear control force in a longitudinal direction.The bifurcation can be sub-critical or super-critical, depending on the system control parameters. Our investigation shows that bifurcation mode can be changed from sub-critical HOPF bifurcation to super-critical HOPF bifurcation by the system control parameters. Furthermore, our investigation shows that the control parameter c 4 is a main parameter of HOPF bifurcation control,the linear critical speed may be increased by the control parameter c 1.更多还原