基于MATLAB的磁悬浮系统奇异摄动参数计算

磁悬浮系统的稳定性是磁悬浮列车能否正式投入营运的关键因素。而实际的悬浮系统由于存在小电感奇异摄动参数，使得悬浮系统的动力学模型有相当高的阶数以及病态的数值特性，因此该文采用奇异摄动法处理这类问题。根据奇异摄动理论可知，要使系统稳定，摄动参数必存在一个稳定的上界。该文针对悬浮系统模型复杂和系统变参数的特点，借助MATLAB简化了磁悬浮系统奇异摄动参数稳定上界的计算。结果表明该方法的有效性和可行性，对磁悬浮系统的理论分析和工程研究有一定的参考价值。

Singular Perturbation Parameter Computation of Maglev System Based on MATLAB

The stability of maglev system is a key factor relating to whether the maglev train can operate formally. Because the actual maglev system has a small inductance singular perturbation parameter, the kinetic model of maglev system has higher order and ill - conditioned numerical character, the problem is analyzed by singular perturbation theory. The singular perturbation parameter has a stability upper bound to ensure maglev system stability. Singular perturbation parameter stability upper bound computation of maglev system is predigested through MATLAB about complex model and variable parameters of maglev system. The result shows that the method is valid and feasible, and it is also helpful for theoretical analysis and engineering research.