磁悬浮轴承弹性转子非线性系统的建模与控制  

The Nonlinear Model and Control of Magnetic Suspension Bearing Flexible Rotor

作　　者：袁惠群[1,2] 李莹[2] 李东[2] 吴文波[1] 

机构地区：[1]东北大学理学院,辽宁沈阳110004 [2]东北大学机械工程与自动化学院,辽宁沈阳110004

出　　处：《兵工学报》2011年第2期247-251,共5页Acta Armamentarii

基　　金：国家自然科学基金项目资助(10772043)

摘　　要：在考虑陀螺效应、转轴弹性与非线性电磁力的条件下,建立了磁悬浮轴承弹性转子系统动力学非线性控制模型;并采用精确非线性反馈方法,实现了对磁悬浮轴承弹性转子系统的有效控制。针对磁悬浮非线性模型与线性化后的模型、刚性磁悬浮与弹性磁悬浮模型所需控制参数进行了比较;仿真结果表明,考虑轴承弹性的非线性磁悬浮模型所需控制量与线性化模型及刚性磁悬浮模型所需控制量有较大的差异。电磁力的非线性及轴承的弹性对磁悬浮系统影响较大,不能忽略;该结果对工程实际具有一定的指导意义。Considering gyroscopic effect,flexibility of shaft and nonlinear electro-magnetic force,a nonlinear magnetic suspension bearing rotor model is established.An exact nonlinear feedback method is used to realize the effective control of nonlinear magnetic suspension bearing rotor model.The differences of controlled parameters are compared between the nonlinear and linear models of magnetic suspension rotor system,and the flexible and rigid magnetic suspension rotor systems.The simulated results show that the difference of controlled parameters is obvious for different model.Since the nonlinearity of electromagnetic force and the flexibility of bearing has a great influence on the magnetic suspension rotor system,they can not be ignored.The result above may be helpful for the engineering practice.

关 键 词：应用力学 磁悬浮轴承弹性转子 陀螺效应 精确非线性反馈 

分 类 号：O039[理学]