基于Hurwitz判据的悬浮控制系统稳定性分析  

Analysis on Stability of Suspension Control System Based on Hurwitz Criterion

作　　者：吴海超[1] 方海容[2] 

机构地区：[1]南京铁道职业技术学院动力工程学院,江苏南京210031 [2]兰州交通大学机电学院,甘肃兰州730070

出　　处：《铁道学报》2012年第12期40-45,共6页Journal of the China Railway Society

摘　　要：本文在分析悬浮控制系统工作原理的基础上,建立数学模型,分别取不同的反馈增益系数为分岔参数,通过Hurwitz判据判定悬浮控制系统发生Hopf分岔的条件,进而得到反馈增益系数取值与悬浮控制系统稳定性的关系。研究结果表明:①当参数kd、ki取值确定,kp为分岔参数,系统在临界值时发生Hopf分岔;kp>kp0时,系统失稳;当kp<kp0时,系统进入渐进稳定状态。②选取kd为分岔参数时,控制方向与kp的控制方向相反。本文研究为悬浮控制器的参数设计提供了一定的理论依据。On the basis of analyzing the basic principle of the suspension control system, the mathematical model of the suspension control system was established. Different feedback gain coefficients were taken as the bifurca- tion parameters. The conditions for Hopf bifurcation to occur in the suspension control system were found ac- cording to the Hurwitz criterion,and then the relationship between feedback gain coefficients and suspension control system stability was obtained. The reseach results show as follows： ① When the values of kd and k1 are finalized, kp is chosen as the bifurcation parameter and Hopf bifurcation occurs in the suspension control system when kp equals to its critical value; when kp〉kp0, the system becomes unstable and when kp〈kp0, the system is going into the steady state asymptoticly. ② When kd is chosen as the bifurcation parameter, its control direc- tion is opposite to the control direction of kp. The reseach results provide a theoretical basis for parameters de- sign of the suspension controller.

关 键 词：悬浮控制系统 Hurwitz判据 HOPF分岔 稳定性 

分 类 号：U292.917[交通运输工程—交通运输规划与管理]