Abstract:In the magnetic levitation permanent magnet linear motor control system, there are the problems of parameter variation, disturbance uncertainties, and parameter perturbation in controller. Therefore, in order to realize the precise control for the levitation permanent magnet linear motor drive system of computerized numerical control machine tools, the non-fragile robust control is proposed. The state-space model considering magnetic levitation permanent magnet linear motor parameters perturbation and external disturbances is firstly set up. Then, based on Riccati inequality, the analytic expressions of the H∞ controller are derived to meet the non-fragile robust performance. The simulation research is carried out with the Matlab software. Simulation results show that the magnetic levitation permanent magnet linear motor control system has robustness for the parameter and disturbance uncertainties as well as the controller parameter perturbation. The results of the experimental prove the effectiveness of the control method.
蓝益鹏, 陈其林, 胡学成, 刘宇菲. 磁悬浮永磁直线电动机控制系统非脆弱鲁棒控制的研究[J]. 电工技术学报, 2016, 31(7): 26-32.
Lan Yipeng, Chen Qilin, Hu Xuecheng, Liu Yufei. Research on Non-Fragile Robust Control for Magnetic Levitation Permanent Magnet Linear Motor Control System. Transactions of China Electrotechnical Society, 2016, 31(7): 26-32.
[1] 张鲁,寇宝泉,赵斌超,等.新型Halbach次级结构永磁同步直线电机[J].电工技术学报,2013,28(7):39-45. Zhang Lu,Kou Baoquan,Zhao Binchao,et al.A novel synchronous permanent magnet linear motor with halbach secondary structure[J].Transactions of China Electrotechnical Society,2013,28(7):39-45. [2] 陆华才,江明,郭兴众,等.永磁直线同步电机推力波动约束[J].电工技术学报,2012,27(3):128-132. Lu Huacai,Jiang Ming,Guo Xingzhong,et al.Thrust ripple suppression for permanent magnet linear synchronous motor[J].Transactions of China Electrotechnical Society,2012,27(3):128-132. [3] 刘成颖,王昊,张之敬,等.基于非线性电感分析的永磁直线同步电机电磁推力特性研究[J].中国电机工程学报,2011,31(30):69-76. Liu Chengying,Wang Hao,Zhang Zhijing,et al.Research on thrust characteristics in permanent magnet linear synchronous motor based on analysis of nonlinear inductance[J].Proceedings of the CSEE,2011,31(30):69-76. [4] 王昊,张之敬,刘成颖.永磁直线同步电机纵向端部效应补偿方法[J].中国电机工程学报,2010,30(36):46-52. Wang Hao,Zhang Zhijing,Liu Chengying.Compensation methods of longitudinal end in permanent-magnet linear synchronous motor[J].Proceedings of the CSEE,2010,30(36):46-52. [5] 闫光亚,艾武,陈冰,等.永磁直线同步电机ADRC控制系统[J].电工技术学报,2011,26(9):60-66. Yan Guangya,Ai Wu,Chen Bing,et al.PMLSM active disturbance rejection control[J].Transactions of China Electrotechnical Society,2011,26(9):60-66. [6] 陈一秀,王永初.直线伺服系统的鲁棒保性能控制研究[J].中国电机工程学报,2006,26(24):174-178. Chen Yixiu,Wang Yongchu.Study on robust guaranteed cost control for linear motor servo system[J].Proceedings of the CSEE,2006,26(24):174-178. [7] 申铁龙.H∞控制理论及应用[M].北京:清华大学出版社,1996. [8] 蓝益鹏,刘宇菲.磁悬浮直线电动机H∞鲁棒控制器及其蚁群算法优化设计[J].控制理论与应用,2015,32(4):527-532 Lan Yipeng,Liu Yufei.Maglev linear motor H∞ robust controller design optimization and ant colony optimization algorithm design[J].Control theory and Applications,2015,32(4):527-532. [9] Peterson I R,McFarlane D C.Optimal guaranteed cost control of uncertain linear systems[C]//America Control Conference,Chicago,IL:2929-2930. [10]Li S H,Zhou M M,Yu X H.Design and implementation of sliding mode control method for PMSM speed regulation system[J].IEEE Transactions on Industrial Informatics,2013,4(9):1879-1891.