关键词: LQR方法, 磁轴承, 集中控制, 交叉控制, 超声加工, 发展趋势, 应用现状

Abstract: For a flywheel rotor suspended by AMBs whose gyroscopic effects can’t be neglected, traditional PID controller is not suitable any longer. Because gyroscopic effects greatly influence the stability of the rotor. LQR can be considered as an effective centralized control method to control the rotor. With some LQR simulations on the flywheel system, the method of how to choose correct weight matrixes Q and R is described. Further more, the parameter essence of feedback matrix F is studied. And a simplified realization of LQR is given. At last, some deductions are done to prove the effects of gyroscopic displacement cross feedback which is shown in the simulations.

Key words: Central control, Active magnetic bearing (AMB), Cross feedback, LQR, Application status, Development trends, Ultrasonic machining