航空学报 > 2006, Vol. 27 Issue (6): 1244-1248

基于能量的电磁轴承系统建模及控制方法研究

李国栋, 张庆春, 梁迎春   

  1. 哈尔滨工业大学 机电工程学院, 黑龙江 哈尔滨 150001
  • 收稿日期:2005-06-23 修回日期:2005-10-15 出版日期:2006-12-25 发布日期:2006-12-25

Energy-based Modeling and Control Approach Researches on Electromagnetic Bearing System

LI Guo-dong, ZHANG Qing-chun, LIANG Ying-chun   

  1. School of Mechanical and Electrical Engineering, Harbin Institute of Technology, Harbin 150001, China
  • Received:2005-06-23 Revised:2005-10-15 Online:2006-12-25 Published:2006-12-25

摘要: 通过介绍电磁轴承的基本组成,针对电磁轴承系统中的大范围稳定问题,在考虑线圈电感的非线性的情况下,从能量的角度对系统进行了非线性建模。并在构建李雅普诺夫函数及理论分析的基础上提出了基于能量的控制器方法。与传统的PID控制进行仿真对比后,得到了一组可使电磁轴承大范围稳定的参数范围。结果表明,这种方法为非线性控制提供了设计基础,在获得满意的动态响应方面是可行的。

关键词: 电磁轴承, 大范围稳定, 非线性, 李雅普诺夫函数

Abstract: The composition of electromagnetic bearings is introduced. The dynamic model is developed with the consideration of the nonlinear of coil’s inductance according to energy theory. After Lyapunov function is derived, with theoretical analysis, energy-based control design method is discussed in order to solve the global stability problem. A group of parameters that satisfy global stability is obtained by contrast with PID control simulation. The simulation results show that the energy-based control design method provides design basis for nonlinear control system design, and a new method for improving the dynamic response of electromagnetic bearing system(EBS).

Key words: electromagnetic bearing system, global stability, nonlinear, Lyapunov function

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