摘要
针对磁悬浮系统33-210的球体位置控制问题,建立了系统的数学模型,设计LQR状态控制器,同时介绍了磁悬浮系统的基本工作原理。从电磁学和力学的角度对系统进行分析。由于磁悬浮系统是个非线性、不稳定、复杂的控制对象,采用了平衡点线性化处理方法,得出系统的线性化模型。基于最优控制理论对系统进行分析,设计LQR状态控制器,得出系统参数的最优解,应用Matlab6.5作为系统仿真的平台。通过对系统的阶跃扰动的分析,可知系统的相对稳定性得到了提高,缩短了变量的响应时间,达到较好的控制效果。
This paper mainly considers the position control problem of the magnetic levitation control system 33 - 210. Based on electromagnetic and mechanics, the system is analyzed, and the mathematical model is established for the system. The magnetic levitation control system is characterized by its nonlinearity, instability and complexity associated with the electromechanical dynamics. A Linear Quadratic Regulation (LQR) optimal control state controller is designed for the system, and the system is simulated under Matlab6. 5. The relative stability is improved and the response time of the system is shortened. So the preferable control effect is achieved.
出处
《计算机仿真》
CSCD
2008年第10期250-253,共4页
Computer Simulation
关键词
磁悬浮
仿真
最优控制
状态控制器
Magnetic levitation
Simulation
Optimal control
State controller