Abstract A control method combining cross-coupled control (CCC) and complementary sliding mode control (CSMC) is proposed for precision position synchronization control problems of dual linear motors servo system in a gantry position stage.Considering that the permanent magnet linear synchronous motor (PMLSM) is vulnerable to the influence of the uncertainties, such as inherent end effect, parameter variations, external disturbances and nonlinear friction and so on, the dynamic model of the linear servo system with uncertainties is established.Then, dual linear motors servo system based on CCC and CSMC is designed in order to make the system achieve accurate position tracking performance with high precision and strong robustness.The advantage of CSMC which is not sensitive to uncertainty factors and with small chattering is used for guaranteeing position tracking precision of the single axis in dual linear motors servo system.CCC is introduced into dual linear motors servo system to eliminate the coupling between the dual linear motors, thus the position synchronization error is reduced.Finally, some system experimental results are illustrated to show that the proposed control method has fast tracking performance and strong robustness.It can satisfy actual production requirements with high precision and strong robustness.
[1] Tan K K, Lee T H, Huang S.Precision Motion Control[M].2nd ed.Berlin, Germany:Springer-Verlag, 2008. [2] 李静, 何永义, 方明伦, 等.曲轴非圆磨削中基于差分进化算法的变参数交叉耦合轮廓控制[J].机械工程学报, 2011, 47(9):139-145. Li Jing, He Yongyi, Fang Minglun, et al.Cross-coupled contour control with variable parameters based on differential evolution algorithm in crankshaft non-circular grinding[J].Journal of Mechanical Engineering, 2011, 47(9):139-145. [3] 赵国勇, 赵福令, 徐志祥.一种基于NURBS插补器的高精度交叉耦合控制方法[J].大连理工大学学报, 2008, 48(2):210-214. Zhao Guoyong, Zhao Fuling, Xu Zhixiang.High-precision cross-coupled control approach based on NURBS curve interpolator[J].Journal of Dalian University of Technology, 2008, 48(2):210-214. [4] Rodriguez A, Nijmeijer H.Mutual synchronization of robots via estimated state feedback:a cooperative approach[J].IEEE Transactions on Control System Technology, 2004, 12(4):542-554. [5] Yan M T, Lee M H, Yen P L.Theory and application of a combined self-tuning adaptive control and cross coupling control in a retrofit milling machine[J].Mechatronics, 2005, 15(2):193-211. [6] 茅靖峰, 吴爱华, 吴国庆, 等.基于扩张状态观测的永磁直驱风力发电系统MPPT自适应滑模控制[J].电力系统保护与控制, 2014, 42(18):58-65. Mao Jingfeng, Wu Aihua, Wu Guoqing, et al.Adaptive sliding mode MPPT control for PMSG-based wind energy conversion systems based on extended state observer[J].Power System Protection and Control, 2014, 42(18):58-65. [7] 史婷娜, 刘立志, 王慧敏, 等.矩阵变换器-永磁同步电机驱动系统滑模变结构控制[J].电工技术学报, 2010, 25(12):54-60. Shi Tingna, Liu Lizhi, Wang Huimin, et al.Sliding mode variable structure control for matrix converter fed permanent magnet synchronous motor drive system[J].Transactions of China Electrotechnical Society, 2010, 25(12):54-60. [8] Hacioglu Y, Arslan Y Z, Yagiz N.MIMO fuzzy sliding mode controlled dual arm robot in load transportation[J].Journal of the Franklin Institute, 2011, 348(8):1886-1902. [9] Matas J, de Vicuna L G, Miret J.Feedback linearization of a single-phase active power filter via sliding mode control[J].IEEE Transaction on Power Electronics, 2008, 23(1):116-125. [10]Cao J B, Cao B G.Fuzzy-logic-based sliding-mode controller design for position sensorless electric vehicle[J].IEEE Transaction on Power Electronics, 2009, 24(10):2368-2378. [11]Orlowska-Kowalska T, Dybkowski M, Szabat K.Adaptive sliding mode neuro-fuzzy control of the two-mass induction motor drive without mechanical sensors[J].IEEE Transactions on Industrial Electronics, 2010, 57(2):553-564. [12]Garcia-Gabin W, Zambrano D, Camacho E F.Sliding mode predictive control of a solar air conditioning plant[J].Control Engineering Practice, 2009, 17(6):652-663. [13]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.
2015, Vol. 30 
