受控磁悬浮系统非线性随机响应分析

ANALYSIS ON NONLINEAR RANDOM RESPONSE OF CONTROLLED MAGNETIC LEVITATION SYSTEM

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.

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.