研究了反馈增益系数对非线性磁悬浮控制系统稳定性的影响，给出了系统保持稳定时设计参数的取值范围。通过引入Hopf分岔的检验函数分析了磁悬浮控制系统动态Hopf分岔的产生条件，从而避免了分析系统稳定性时求解全部特征值的大量计算。以速度反馈增益为参量，运用规范型法和中心流形法，解析地确定出表征磁悬浮系统中Hopf分岔方向、周期解的稳定性及周期变化的特征量，以便通过向分岔的反方向调节反馈增益系数而实现系统的稳定。最后通过数值模拟验证了主要结果的可靠性。

The influence of feedback control gains on the stability of the nonlinear maglev system is investigated and the range of the design parameters maintaining the system stable is obtained. A test function for Hopf bifurcation is introduced to analyze the formation condition of the Hopf bifurcation. In this way, the time-consuming of eigenvalue computation in the process of analyzing system stability is avoided. With the velocity feedback control gain as the bifurcation parameter, the normal form theory and center manifold argument are applied to derive the explicit formulae, which determined the stability, direction and period of Hopf bifurcating periodic solutions of the maglev system. So, the asymptotically stable system can be achieved by adjusting parameters in the direction opposite to that of the Hopf bifurcation. Finally, the numerical simulation is performed to illustrate the validity of the main results.