Abstract:The position tracking accuracy of permanent magnet linear synchronous motor (PMLSM) servo system is easily affected by uncertain factors, such as parameters change, load disturbance and friction and so on. Therefore, an adaptive backstepping global fast terminal sliding mode control (ABGFTSMC) method is proposed. Firstly, the PMLSM dynamic mathematical model with uncertainty is established. Then, the complex nonlinear system is decomposed into low order subsystems by the backstepping control, and the state of the system is rapidly converged to the equilibrium point by the global fast terminal sliding mode control, which can improve the response speed and robustness of the system. In order to obtain the appropriate switching gain, the chattering phenomenon is reduced by adjusting the gain value of the switching control with adaptive control in real time. It is proved theoretically that the control scheme can make the system obtain fast convergence and good tracking performance. Finally, the system experiments show that the proposed control scheme not only has faster convergence, but also has faster tracking and stronger robustness.
付东学, 赵希梅. 永磁直线同步电机自适应反推全局快速终端滑模控制[J]. 电工技术学报, 2020, 35(8): 1634-1641.
Fu Dongxue, Zhao Ximei. Adaptive Backstepping Global Fast Terminal Sliding Mode Control for Permanent Magnet Linear Synchronous Motor. Transactions of China Electrotechnical Society, 2020, 35(8): 1634-1641.
[1] 智淑亚, 吴洪兵. 数控进给伺服系统摩擦补偿控制仿真[J]. 沈阳工业大学学报, 2019, 41(4): 361-365. Zhi Shuya, Wu Hongbing.Simulation of friction compensation control of NC feed servo system[J]. Journal of Shenyang University of Technology, 2019, 41(4): 361-365. [2] 朱国昕, 雷鸣凯, 赵希梅. 永磁同步电机伺服系统自适应迭代学习控制[J]. 沈阳工业大学学报, 2018, 40(1): 6-11. Zhu Guoxin, Lei Mingkai, Zhao Ximei.Adaptive iterative learning control for permanent magnet synchronous motor servo system[J]. Journal of Shenyang University of Technology, 2018, 40(1): 6-11. [3] Luo Jun, Kou Baoquan, Zhang He, Qu Ronghai.Development of a consequent pole transverse flux permanent magnet linear machine with passive secondary structure[J]. CES Transactions on Elec- trical Machines and Systems, 2019, 3(1): 39-44. [4] 赵希梅, 原浩, 朱文斌. 基于小波神经网络和非线性扰动观测器的直线伺服系统控制[J]. 电工技术学报, 2019, 34(19): 3989-3996. Zhao Ximei, Yuan Hao, Zhu Wenbin.Control of linear servo system based on wavelet neural network and nonlinear disturbance observer[J]. Transactions of China Electrotechnical Society, 2019, 34(19): 3989-3996. [5] 金鸿雁, 赵希梅. 直驱XY平台变增益交叉耦合互补滑模轮廓控制[J]. 电机与控制学报, 2019, 23(12): 42-47. Jin Hongyan, Zhao Ximei.Variable gain cross- coupled complementary sliding mode contouring control for direct drive XY table[J]. Electric Machines and Control, 2019, 23(12): 42-47. [6] 刘乐, 蔺明浩, 李晓刚, 等. 基于模糊干扰观测器的电液伺服位置系统自适应反步控制[J]. 电机与控制学报, 2019, 23(12): 143-150. Liu Le, Lin Minghao, Li Xiaogang, et al.Adaptive backstepping control for the electro-hydraulic servo position system based on fuzzy disturbance observers[J]. Electric Machines and Control, 2019, 23(12): 143-150. [7] 吴勇慷, 赵希梅. 基于函数链径向基神经网络的PMLSM自适应反推控制[J]. 电工技术学报, 2018, 33(17): 4044-4051. Wu Yongkang, Zhao Ximei.Adaptive backstepping control based on functional link radial basis function neural network for PMLSM[J]. Transactions of China Electrotechnical Society, 2018, 33(17): 4044-4051. [8] Li Haiyan, Hu Yunan.Robust sliding-mode back- stepping design for synchronization control of cross-strict feedback hyperchaotic systems with unmatched uncertainties[J]. Communications in Non- linear Science & Numerical Simulation, 2011, 16(10): 3904-3913. [9] Ting Chensheng, Lieu J F, Liu Chunshan, et al.An adaptive FNN control design of PMLSM in stationary reference frame[J]. Journal of Control Automation & Electrical Systems, 2016, 27(4): 1-15. [10] 赵希梅, 赵久威. 永磁直线同步电机的智能互补滑模控制[J]. 电工技术学报, 2016, 31(23): 9-14. Zhao Ximei, Zhao Jiuwei.Intelligent complementary sliding mode control for permanent magnet linear synchronous motor[J]. Transactions of China Electro- technical Society, 2016, 31(23): 9-14. [11] Parvat B J, Patre B M.Fast terminal sliding mode controller for square multivariable processes with experimental application[J]. International Journal of Dynamics and Control, 2016, DOI: 10.1007/s40435- 016-0262-x. [12] Boonsatit N, Pukdeboon C.Adaptive fast terminal sliding mode control of magnetic levitation system[J]. Journal of Control Automation & Electrical Systems, 2016, 27(4): 1-9. [13] Lieu J F, Ting Chensheng, Shi Bowei, et al.Adaptive backstepping control for permanent magnet linear synchronous motor servo drive[J]. IET Electric Power Applications, 2015, 9(3): 265-279.