Vol. 171
Latest Volume
All Volumes
PIERC 171 PIERC 170 PIERC 169 PIERC 168 PIERC 167 PIERC 166 PIERC 165 PIERC 164 PIERC 163 PIERC 162 PIERC 161 PIERC 160 PIERC 159 PIERC 158 PIERC 157 PIERC 156 PIERC 155 PIERC 154 PIERC 153 PIERC 152 PIERC 151 PIERC 150 PIERC 149 PIERC 148 PIERC 147 PIERC 146 PIERC 145 PIERC 144 PIERC 143 PIERC 142 PIERC 141 PIERC 140 PIERC 139 PIERC 138 PIERC 137 PIERC 136 PIERC 135 PIERC 134 PIERC 133 PIERC 132 PIERC 131 PIERC 130 PIERC 129 PIERC 128 PIERC 127 PIERC 126 PIERC 125 PIERC 124 PIERC 123 PIERC 122 PIERC 121 PIERC 120 PIERC 119 PIERC 118 PIERC 117 PIERC 116 PIERC 115 PIERC 114 PIERC 113 PIERC 112 PIERC 111 PIERC 110 PIERC 109 PIERC 108 PIERC 107 PIERC 106 PIERC 105 PIERC 104 PIERC 103 PIERC 102 PIERC 101 PIERC 100 PIERC 99 PIERC 98 PIERC 97 PIERC 96 PIERC 95 PIERC 94 PIERC 93 PIERC 92 PIERC 91 PIERC 90 PIERC 89 PIERC 88 PIERC 87 PIERC 86 PIERC 85 PIERC 84 PIERC 83 PIERC 82 PIERC 81 PIERC 80 PIERC 79 PIERC 78 PIERC 77 PIERC 76 PIERC 75 PIERC 74 PIERC 73 PIERC 72 PIERC 71 PIERC 70 PIERC 69 PIERC 68 PIERC 67 PIERC 66 PIERC 65 PIERC 64 PIERC 63 PIERC 62 PIERC 61 PIERC 60 PIERC 59 PIERC 58 PIERC 57 PIERC 56 PIERC 55 PIERC 54 PIERC 53 PIERC 52 PIERC 51 PIERC 50 PIERC 49 PIERC 48 PIERC 47 PIERC 46 PIERC 45 PIERC 44 PIERC 43 PIERC 42 PIERC 41 PIERC 40 PIERC 39 PIERC 38 PIERC 37 PIERC 36 PIERC 35 PIERC 34 PIERC 33 PIERC 32 PIERC 31 PIERC 30 PIERC 29 PIERC 28 PIERC 27 PIERC 26 PIERC 25 PIERC 24 PIERC 23 PIERC 22 PIERC 21 PIERC 20 PIERC 19 PIERC 18 PIERC 17 PIERC 16 PIERC 15 PIERC 14 PIERC 13 PIERC 12 PIERC 11 PIERC 10 PIERC 9 PIERC 8 PIERC 7 PIERC 6 PIERC 5 PIERC 4 PIERC 3 PIERC 2 PIERC 1
2026-07-20
A Fixed-Time Fast Integral Terminal Sliding Mode Speed Control Strategy with Super-Twisting Observer for SPMSM
By
Progress In Electromagnetics Research C, Vol. 171, 501-514, 2026
Abstract
To improve the dynamic performance and disturbance rejection of a Surface Permanent Magnet Synchronous Motor (SPMSM) speed control system, a speed regulation method based on a continuous adaptive fast terminal sliding mode is proposed in this study. First, a novel adaptive variable-gain reaching law (NVGRL) is introduced. By combining the variable gains of the system states with fuzzy adaptive inference rules, the boundary layer width was adjusted in real time to reduce the convergence time to the equilibrium point and suppress chattering. Second, a novel fast integral terminal sliding mode surface (NFITSMS) is designed to improve the global convergence rate. To maintain an ideal speed even under external disturbances and torque surges, a novel finite-time-based super-twisting sliding mode disturbance observer (NSTDO) is designed. The control strategy proposed in this study employs Lyapunov stability theory to provide a closed-loop stability analysis within a fixed time. Finally, the experimental results confirm that the proposed method enhances the speed response, tracking accuracy, and disturbance rejection capability of the SPMSM control system.
Citation
Qianghui Xiao, Zheng Xiong, Li Yang, Dengliang Xia, Xing Yuan, and Sheng Wang, "A Fixed-Time Fast Integral Terminal Sliding Mode Speed Control Strategy with Super-Twisting Observer for SPMSM," Progress In Electromagnetics Research C, Vol. 171, 501-514, 2026.
doi:10.2528/PIERC26052103
References

1. Cheng, Y., S. Li, and S. Li, "Time-varying sliding mode control of permanent magnet synchronous motor based on improved integral sliding mode," Electric Machines and Control, Vol. 28, No. 7, 160-167, 2024.
doi:10.15938/j.emc.2024.07.016        Google Scholar

2. Chen, Long, Hongming Zhang, Hai Wang, Ke Shao, Guangyi Wang, and Amirmehdi Yazdani, "Continuous adaptive fast terminal sliding mode-based speed regulation control of PMSM drive via improved super-twisting observer," IEEE Transactions on Industrial Electronics, Vol. 71, No. 5, 5105-5115, May 2024.
doi:10.1109/tie.2023.3288147        Google Scholar

3. Jin, Xin-Yue, En Xie, and Lan-Lan Zheng, "An improved I/F starting and sliding-mode sensor-less control for surface permanent synchronous motor," IECON 2023 --- 49th Annual Conference of the IEEE Industrial Electronics Society, 1-6, Singapore, Singapore, 2023.
doi:10.1109/IECON51785.2023.10311691

4. Wu, Shengnan, Qifeng Zhao, and Wenming Tong, "Permanent magnet axial section shaping optimization surface-mounted permanent magnet synchronous motor," CES Transactions on Electrical Machines and Systems, Vol. 7, No. 4, 366-371, Dec. 2023.
doi:10.30941/cestems.2023.00036        Google Scholar

5. Wu, H., S. Wang, C. Gu, et al. "An improved decoupling control strategy for the IPMSMS," Transactions of China Electrotechnical Society, Vol. 30, No. 1, 30-37, 2015.
doi:10.3969/j.issn.1000-6753.2015.01.005        Google Scholar

6. Zhu, Lianghong, Guoqiang Zhang, Runze Jing, Guangdong Bi, Runhua Xiang, Gaolin Wang, and Dianguo Xu, "Nonlinear active disturbance rejection control strategy for permanent magnet synchronous motor drives," IEEE Transactions on Energy Conversion, Vol. 37, No. 3, 2119-2129, Sep. 2022.
doi:10.1109/tec.2022.3150796        Google Scholar

7. Zheng, Yusai, Zhenwei Cao, Song Wang, Zhihong Man, and Raymond Chuei, "Extreme learning machine-based field-oriented feedback linearization speed control of permanent magnetic synchronous motors," Neural Computing and Applications, Vol. 34, No. 7, 5267-5282, 2022.
doi:10.1007/s00521-021-06722-z        Google Scholar

8. Li, Teng, Xiaodong Sun, Ming Yao, Dong Guo, and Yueping Sun, "Improved finite control set model predictive current control for permanent magnet synchronous motor with sliding mode observer," IEEE Transactions on Transportation Electrification, Vol. 10, No. 1, 699-710, Mar. 2024.
doi:10.1109/tte.2023.3293510        Google Scholar

9. Zhang, Wenjing, Mengyue Li, Yaping Gao, and YangQuan Chen, "Periodic adaptive learning control of PMSM servo system with LuGre model-based friction compensation," Mechanism and Machine Theory, Vol. 167, 104561, 2022.
doi:10.1016/j.mechmachtheory.2021.104561        Google Scholar

10. Xu, Xiaozhuo, Liangjie Wang, Zan Zhang, and Zhonghua Wu, "A novel robust control for permanent magnet synchronous motor integrating deadbeat predictive current control and sliding mode observer," Alexandria Engineering Journal, Vol. 130, 57-67, 2025.
doi:10.1016/j.aej.2025.08.057        Google Scholar

11. Fei, Tianhao, Yongliang Yang, Chunyu Zheng, Hu Zhang, and Guofeng Yuan, "Adaptive neural design for permanent magnet synchronous motor with asymmetric constraints and input dead-zone," Neurocomputing, Vol. 640, 130294, 2025.
doi:10.1016/j.neucom.2025.130294        Google Scholar

12. Shi, Shang, Liaoxuan Dai, Huifang Min, Jun Yang, and Shihua Li, "Prescribed-time nonsingular terminal sliding mode control and its application in PMSM servo systems," IEEE Transactions on Industrial Electronics, Vol. 72, No. 3, 3072-3081, Mar. 2025.
doi:10.1109/tie.2024.3443954        Google Scholar

13. Gao, Weibing and J. C. Hung, "Variable structure control of nonlinear systems: A new approach," IEEE Transactions on Industrial Electronics, Vol. 40, No. 1, 45-55, Feb. 1993.
doi:10.1109/41.184820        Google Scholar

14. Zhang, Wenqing and Juan Kong, "A novel fast and chattering-free speed control method for PMSM motor drive based on sliding mode control," International Journal of Dynamics and Control, Vol. 12, No. 9, 3332-3338, 2024.
doi:10.1007/s40435-024-01419-2        Google Scholar

15. Park, Jihoon, Hyeongki Ahn, Mingyuan Hu, Hyeokjin Kwon, and Kwanho You, "Enhanced composite adaptive sliding mode reaching law for speed regulation in SPMSM," Results in Engineering, Vol. 25, 104567, 2025.
doi:10.1016/j.rineng.2025.104567        Google Scholar

16. Dong, H., Q. Du, K. Liu, et al. "Dynamic performance optimization of permanent magnet synchronous motor based on new reaching law," Packaging Engineering, Vol. 44, No. 5, 163-170, 2023.
doi:10.19554/j.cnki.1001-3563.2023.05.021        Google Scholar

17. Huang, J., Y. Wang, Y. Yang, et al. "Deadbeat predictive control for PMSM based on improved sliding mode observer," Journal of Power Supply, 2025.        Google Scholar

18. Ma, Xingyi, Lei Zhang, Yu Xu, and Jing Bai, "Model-free control of permanent magnet synchronous motors with improved terminal sliding mode based on a modified exponential reaching law," Control Engineering Practice, Vol. 166, 106630, 2026.
doi:10.1016/j.conengprac.2025.106630        Google Scholar

19. Wu, Shaobo, Xiuqin Su, and Kaidi Wang, "Time-dependent global nonsingular fixed-time terminal sliding mode control-based speed tracking of permanent magnet synchronous motor," IEEE Access, Vol. 8, 186408-186420, 2020.
doi:10.1109/access.2020.3030279        Google Scholar

20. Chen, Y., J. Liu, and Z. Yao, "PMSM sliding mode control based on disturbance observer and new non-singular fast terminal," Modular Machine Tool & Automatic Manufacturing Technique, No. 3, 84-87, 2022.
doi:10.13462/j.cnki.mmtamt.2022.03.021        Google Scholar

21. Li, Taochang, Yijian Zhao, and Limin Hou, "Adaptive sliding mode control with disturbance observer for speed regulation system of permanent magnet synchronous motor," IEEE Access, Vol. 11, 17021-17030, 2023.
doi:10.1109/access.2023.3245635        Google Scholar

22. Kong, Delin, Haiwei Cai, and Wenkai Zeng, "A predefined time fast terminal sliding mode predictive speed control for PMSM drives," IEEE Transactions on Power Electronics, Vol. 40, No. 7, 9068-9079, Jul. 2025.
doi:10.1109/tpel.2025.3544281        Google Scholar

23. Zhang, Xiaoguang, Lizhi Sun, Ke Zhao, and Li Sun, "Nonlinear speed control for PMSM system using sliding-mode control and disturbance compensation techniques," IEEE Transactions on Power Electronics, Vol. 28, No. 3, 1358-1365, Mar. 2013.
doi:10.1109/tpel.2012.2206610        Google Scholar

24. Zhang, Lei, Ran Tao, Zhi-Xuan Zhang, Ying-Ren Chien, and Jing Bai, "PMSM non-singular fast terminal sliding mode control with disturbance compensation," Information Sciences, Vol. 642, 119040, 2023.
doi:10.1016/j.ins.2023.119040        Google Scholar

25. Shi, Song, Yi Wang, and Songping Mai, "Research on speed control of PMSM based on a new sliding mode reaching law of fast integral terminal sliding mode control with iterative-based high-gain disturbance observer," IEEE Transactions on Industry Applications, Vol. 61, No. 3, 4352-4363, May-Jun. 2025.
doi:10.1109/tia.2025.3540986        Google Scholar

26. Liang, T., X. Li, P. Wang, and H. Mao, "Sliding mode control of permanent magnet synchronous motor based on hierarchical nonsingular terminal and super-twisting sliding mode disturbance observer," Journal of Ordnance Equipment Engineering, Vol. 46, No. 2, 196-203, 2025.
doi:10.11809/bqzbgcxb2025.02.025        Google Scholar

27. Polyakov, Andrey, "Nonlinear feedback design for fixed-time stabilization of linear control systems," IEEE Transactions on Automatic Control, Vol. 57, No. 8, 2106-2110, Aug. 2012.
doi:10.1109/tac.2011.2179869        Google Scholar

28. Chen, Long, Hongming Zhang, Hai Wang, Ke Shao, Guangyi Wang, and Amirmehdi Yazdani, "Continuous adaptive fast terminal sliding mode-based speed regulation control of PMSM drive via improved super-twisting observer," IEEE Transactions on Industrial Electronics, Vol. 71, No. 5, 5105-5115, May 2024.
doi:10.1109/tie.2023.3288147        Google Scholar

29. Zhang, Zhixin and Xudong Liu, "An improved super-twisting sliding mode single-loop control with current-constraint for PMSM based on two-time scale disturbance observer," IEEE Transactions on Transportation Electrification, Vol. 10, No. 3, 5389-5399, Sep. 2024.
doi:10.1109/tte.2023.3322687        Google Scholar