Abstract:Permanent magnet synchronous motor (PMSM) has become a core component of modern high-performance motion control systems, especially suitable for industrial robots, electric vehicle power systems, and food machinery. PMSMs often encounter disturbances such as parameter uncertainties and load torque pulsations, which lead to increased tracking errors, reduced control accuracy, and system oscillation or instability under high-speed dynamic responses or heavy-load conditions. However, the sliding mode control method often lacks robustness. This paper proposes a control strategy that integrates a finite-time disturbance observer (FTDOB) with a novel non-singular terminal sliding mode control (NNTSMC). This method constructs a PMSM system dynamics model, with parameter uncertainties and external load disturbances as lumped disturbance terms. The FTDOB achieves unified observation and dynamic compensation of the lumped disturbances by introducing a time-varying scaling function, ensuring that the estimation error converges to zero within a preset finite time. The integral term suppresses steady-state errors, improving observation accuracy in practical applications. Regarding the control strategy, NNTSMC uses a segmented sliding-surface structure. When the system state deviates from the equilibrium point, nonlinear power terms dominate the control process, accelerating state convergence. When close to the sliding surface, it smoothly switches to the linear segment, maintaining the continuity of the control action without sacrificing robustness or dynamic performance, avoiding singularity, and effectively suppressing chattering. Additionally, by feeding the disturbance estimation values from FTDOB into the sliding surface, active disturbance compensation is achieved, significantly enhancing the system's anti-disturbance performance. An experimental platform is built using the DSP28379D digital signal processor, the BOOSTXL-DRV8305 gate drive module, and a three-phase surface-mounted PMSM. The control system adopts a high-frequency architecture of a 10 kHz speed loop and a 20 kHz current loop to ensure high-precision control. In a severe step test at 1 000 r/min with a 5 N·m load, the FTDOB+NNTSMC scheme limits speed fluctuations to ±14 r/min, reducing PI control by 75% and recovery time to 0.01 s. FTDOB converges within 0.3 s, with a steady-state observation error of no more than ±0.2 N·m, and the estimation accuracy is 60% higher than that of traditional disturbance observers. In a trapezoidal speed-tracking test from 800 r/min to 1 500 r/min, the proposed method produces only 1~2 r/min of overshoot, with a regulation time of 0.02~0.04 s and a steady-state accuracy of ±1 r/min. In a sinusoidal reference speed tracking test with an input of 1 000sin(2πt) r/min, the tracking error remains within ±2 r/min, demonstrating excellent dynamic tracking performance. Further analysis of the control output, current waveform, and sliding surface indicates that the system effectively suppresses chattering and achieves smooth and stable control performance. The proposed FTDOB+NNTSMC framework addresses finite-time disturbance estimation, non-singular convergence, and chattering suppression. It significantly enhances the system's robustness while maintaining excellent dynamic and steady-state performance, providing a reliable solution for high-performance PMSM drive systems.
[1] 崔刚, 熊斌, 黄康杰, 等. 电动汽车用永磁电机的失磁空间分布特性及影响因素[J]. 电工技术学报, 2023, 38(22): 5959-5974. Cui Gang, Xiong Bin, Huang Kangjie, et al.Spatial distribution characteristics and influencing factors of demagnetization of permanent magnet motor for electric vehicle[J]. Transactions of China Electro-technical Society, 2023, 38(22): 5959-5974. [2] 刘栋良, 詹成根, 屈峰, 等. 无人机17 kW电机振动噪声分析与巡航转速下尖端噪声优化[J]. 电工技术学报, 2024, 39(6): 1749-1763. Liu Dongliang, Zhan Chenggen, Qu Feng, et al.Vibration noise analysis and tip noise optimization of unmanned aerial vehicle 17 kW motor at cruise speed[J]. Transactions of China Electrotechnical Society, 2024, 39(6): 1749-1763. [3] 赵文祥, 宋世昌, 周书文, 等. 改进滑模观测器的电流源逆变器驱动PMSM无位置传感器控制[J]. 电工技术学报, 2024, 39(4): 987-995. Zhao Wenxiang, Song Shichang, Zhou Shuwen, et al.Sensorless control of current source inverter driven PMSM with improved sliding mode observer[J]. Transactions of China Electrotechnical Society, 2024, 39(4): 987-995. [4] 李忠瑞, 聂子玲, 艾胜, 等. 一种基于非线性扰动观测器的飞轮储能系统优化充电控制策略[J]. 电工技术学报, 2023, 38(6): 1506-1518. Li Zhongrui, Nie Ziling, Ai Sheng, et al.An optimized charging control strategy for flywheel energy storage system based on nonlinear disturbance observer[J]. Transactions of China Electrotechnical Society, 2023, 38(6): 1506-1518. [5] 周华伟, 陈铖, 向小龙, 等. 基于扰动观测器的五相永磁同步电机开路和短路容错矢量控制[J]. 电工技术学报, 2024, 39(15): 4782-4793. Zhou Huawei, Chen Cheng, Xiang Xiaolong, et al.Disturbance-observer-based field-oriented control of five-phase PMSM under open-circuit and short-circuit faults[J]. Transactions of China Electrotechnical Society, 2024, 39(15): 4782-4793. [6] Wu Zhongqing, Huang Xuzhen, Wang Anpeng.A sensorless position estimation method for primary winding segmented permanent magnet synchronous arc motor based on improved DOB[J]. IEEE Transac-tions on Power Electronics, 2025, 40(1): 727-737. [7] Lee D, Back J, Oh S.Workspace nonlinear dis-turbance observer for robust position control of flexible joint robots[J]. IEEE Robotics and Auto-mation Letters, 2024, 9(5): 4495-4502. [8] Amiri M S, Ramli R.Fuzzy adaptive controller of a wearable assistive upper limb exoskeleton using a disturbance observer[J]. IEEE Transactions on Human-Machine Systems, 2025, 55(2): 197-206. [9] Huang Jiwei, Zhu Xinkai, Li Yonggang, et al.Control method of HTS permanent magnet synchronous machine with a nonlinear disturbance observer[J]. IEEE Transactions on Applied Superconductivity, 2023, 33(5): 5203306. [10] Wang Yaoqiang, Feng Yutao, Zhang Xiaoguang, et al.A new reaching law for antidisturbance sliding-mode control of PMSM speed regulation system[J]. IEEE Transactions on Power Electronics, 2019, 35(4): 4117-4126. [11] Wang Yibing, Zhang Manli, Tian Shengnan, et al.An adaptive integral sliding mode control-based ampli-tude and phase compensation repetitive control method[J]. IEEE Transactions on Industrial Elec-tronics, 2024, 71(12): 16644-16653. [12] Mishra J P, Yu Xinghuo, Boiko I.Frequency-response of non-singular terminal sliding mode control with actuators[J]. IEEE Transactions on Circuits and Systems II: Express Briefs, 2022, 69(3): 1392-1396. [13] 张康, 王丽梅. 基于反馈线性化的永磁直线同步电机自适应动态滑模控制[J]. 电工技术学报, 2021, 36(19): 4016-4024. Zhang Kang, Wang Limei.Adaptive dynamic sliding mode control of permanent magnet linear syn-chronous motor based on feedback linearization[J]. Transactions of China Electrotechnical Society, 2021, 36(19): 4016-4024. [14] Wu Lingwei, Lei Bicheng, Sun Mingxuan.Steady-state error band improvement using dead-beat terminal sliding mode control[J]. IEEE Transactions on Circuits and Systems II: Express Briefs, 2022, 69(8): 3590-3594. [15] Yue Jiawang, Liu Zhitao, Su Hongye.Observer-based finite-time disturbance rejection control for dynamic wireless charging systems with constant output voltage regulation[J]. IEEE Transactions on Industrial Electronics, 2023, 71(9): 11398-11407. [16] Wang Yujuan, Song Yongduan, Hill D J, et al.Prescribed-time consensus and containment control of networked multiagent systems[J]. IEEE Transactions on Cybernetics, 2019, 49(4): 1138-1147.