受控磁悬浮系统非线性随机响应分析

讨论了非线性磁悬浮控制系统随机振动响应预测问题．基于等效非线性微分方程方法，从理论上对非线性磁悬浮控制系统的随机响应进行了深入分析，建立了此高维系统非线性模型；根据中心流形理论对系统进行约化、降维，给出了此系统响应的近似解析解．这对此系统实现进一步稳定控制提供了有效的理论依据．

Analysis on nonlinear random response of controlled magnetic levitation system

The response of the nonlinear magnetic levitation control system to random vibration was discussed. Based on the equivalent method of nonlinear differential equation, this paper gave a deep theoretical analysis on the random response of nonlinear magnetic levitation control system;and a nonlinear model of the multidimensional system was presented. Using the flow form theorem,an approximate analysis solution of the system's response was achieved. So this work provides a valid theoretical basis for realizing further improvement on stability control.