The active-passive hybridvibration isolation technology is the hotspot of precise vibration isolation, which can overcome the defects of passive vibrationisolation technology that the poor vibration isolation performance in low andresonant frequencies. Compared with other active vibration isolation technologies,magnetic suspension isolation technology has shown useful characteristics, such aswide response frequency range, fast response, high reliability,and theelectromagnetic force adjusted easily by changing controller’s parameterson-line. A magnetic suspension vibrator is proposed for an existing complex two-stage passive isolation system to form a precise active system. The characteristics and capacity of the isolator are studied theoretically. The dynamical equations and state equations of the active system are built. A LQR control model of the active vibration isolation based on the minimization of isolation table acceleration response is proposed.The genetic algorithm is used to optimize the Q and R matrices of the LQR model. The control model is simulated. The simulation results show that the active system has much better performance in vibration isolation.
宋春生，于传超，张锦光，陈金亮. 基于遗传算法的复杂双层磁悬浮精密隔振系统LQR控制研究[J]. 振动与冲击, 2016, 35(16): 99-105.
SONGChunsheng, YU Chuanchao, ZHANG Jinguang,CHENJinliang. LQR Control of a complex two-stage magnetic suspension active precise isolation system based on genetic algorithm. JOURNAL OF VIBRATION AND SHOCK, 2016, 35(16): 99-105.
[1] Lee BH, Lee CW. Model based feed-forward control of electromagnetic type active control engine-mount system [J]. Journal of Sound and Vibration ,2009, 323 (3-5): 574–593.
[2] Kim H, Kim C,Choi, SeungB. A novel triple-actuating mechanism of an active air mount for vibration control of precision manufacturing machines: experimental work[J]. Smart Materials And Structures, 2014,23(7): 077003
[3] 胡业发，周祖德，江征风等.磁力轴承的基础理论与应用[M]. 北京：机械工业出版社，.2006.
HuY F,Zhou Z D, Jiang Z F. Basic theory and application of active magnetic bearing [M].Beijing: China Machine Press,2006
[4] 宋春生, 胡业发, 周祖德.磁悬浮支承双层隔振系统的半主动模糊隔振控制[J]. 振动与冲击，2009，28 (9)：30-32,38.
Song C S,Hu Y F, Zhou Z D.Semi-active fuzzy control for a floating raft isolation system with magnetic suspension supporting[J].Journal of vibration and shock,2009,28(9):30-32,38.
[5] 宋春生, 胡业发, 周祖德. 差动式磁悬浮主动隔振系统控制机理研究[J].振动与冲击,2010,29(7):24-27,104.
Song C S,Hu Y F, Zhou Z D. Study on a Control Mechanism of Differential Magnetic Suspension Active Vibration Isolation System[J].Journal of vibration and shock, 2010,29(7):24-27,104.
[6] 程越.双层精密隔振平台的最优控制研究[J].机械强度, 2012, 34(2):194-197.
Cheng Y.Research on the Optimization Control Method of Two-Stage Precision Vibration Isolation System[J]. Journal of Mechanical Strength, 2012,34(2):194-197.
[7] 宋春生.柔性浮筏系统的磁悬浮主动隔振理论与控制技术研究[D].武汉：武汉理工大学，2011.
Song C S. Study on Theory and Control Technology of Magnetic Suspension Active Vibration Isolation for Flexible FloatingRaft System [D].Wuhan: Wuhan University of technology, 2011.
[8] DaleyS,Hatonen J,OwensDH. Active vibration isolation in a "Smart Spring" mount using a repetitive control approach [J]. Control Engineering Practice,2006, 14(9):991-997.
[9] Hoque ME, Takasaki M,Ishino Y, et al. An Active Micro Vibration Isolator with Zero-Power Controlled Magnetic Suspension Technology [J].JSME International JournalSeries C: Mechanical Systems Machine Elements and Manufacturing, 2006,49(3): 719-726.
[10] Yun Y, Li Y A. general dynamics and control model of a class of multi-DOF manipulators for active vibration control [J]. Mechanism and Machine Theory, 2011,46(10): 1549-1574.
