Vol. 172
Latest Volume
All Volumes
PIERC 173 PIERC 172 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
2026-08-23
Gain-Adaptive Terminal Higher-Order Sliding Mode Observer with Super-Twisting Algorithm for Sensorless Control of SPMSM
By
Progress In Electromagnetics Research C, Vol. 172, 495-506, 2026
Abstract
To overcome bandwidth-accuracy trade-offs in sensorless surface-mounted permanent magnet synchronous motor (SPMSM) drives, this study addresses the limitations of traditional observers. Conventional first-order sliding-mode observer (SMO) inherently exhibits high-frequency chattering due to discontinuous switching functions. To smooth the estimated back-EMF, a low-pass filter (LPF) is typically appended as a remedy; however, this filtering induces speed-dependent phase lag during medium- and high-speed operations, whereas its impact at low speeds is negligible. Although conventional higher-order model-based SMO (HOSMO) can better attenuate chattering, a lower cutoff frequency inherently compromises dynamic tracking precision due to increased phase lag. To overcome these challenges, the proposed scheme substitutes filter-dependent laws with a second-order super-twisting algorithm (STA), ensuring continuity of the control signal and zero phase lag. Furthermore, a state-dependent adaptive tuning mechanism based on a continuous nonlinear barrier function was developed. This adaptive law dynamically boosts observer gains to suppress transient perturbations and contracts them at a steady state to minimize chattering. Comprehensive simulations and experimental verifications demonstrated that the proposed gain-adaptive super-twisting higher-order SMO (GAST-HOTSMO) significantly reduced harmonic distortion, restricted estimation errors, and accelerated dynamic recovery compared to conventional methods.
Citation
Wenshuai Du, Zhonggen Wang, and Wenyan Nie, "Gain-Adaptive Terminal Higher-Order Sliding Mode Observer with Super-Twisting Algorithm for Sensorless Control of SPMSM," Progress In Electromagnetics Research C, Vol. 172, 495-506, 2026.
doi:10.2528/PIERC26060307
References

1. Wang, Gaolin, Maria Valla, and Jorge Solsona, "Position sensorless permanent magnet synchronous machine drives --- A review," IEEE Transactions on Industrial Electronics, Vol. 67, No. 7, 5830-5842, 2020.
doi:10.1109/tie.2019.2955409        Google Scholar

2. Chaudhary, Satvik, Naysha Mittal, and Sheetal Singh, "Review of permanent magnet synchronous motor (PMSM) sensorless control techniques," 2026 3rd International Conference on Advancements and Key Challenges in Green Energy and Computing (AKGEC), 1-6, Ghaziabad, India, 2026.
doi:10.1109/AKGEC68790.2026.11485804

3. Zuo, Ying, Chunyan Lai, and K. Lakshmi Varaha Iyer, "A review of sliding mode observer based sensorless control methods for PMSM drive," IEEE Transactions on Power Electronics, Vol. 38, No. 9, 11352-11367, 2023.
doi:10.1109/tpel.2023.3287828        Google Scholar

4. Zhang, Yongkang, Wei Xu, and Jiyao Wang, "A rapid sensorless startup method with instantaneous control mode switching for high-speed vane-motor based on hybrid speed-position-current tracking controller," IEEE Transactions on Power Electronics, Vol. 39, No. 5, 6125-6135, 2024.
doi:10.1109/tpel.2024.3363039        Google Scholar

5. Bi, Guangdong, Dawei Ding, Guoqiang Zhang, Qiwei Wang, Runze Jing, Gaolin Wang, and Dianguo Xu, "Adaptive quasi-proportional-resonant observer-based rotor position estimation for sensorless PMSM drives," IEEE Transactions on Power Electronics, Vol. 37, No. 12, 15221-15233, 2022.
doi:10.1109/tpel.2022.3188498        Google Scholar

6. Volpato Filho, Cesar José, Dianxun Xiao, Rodrigo Padilha Vieira, and Ali Emadi, "Observers for high-speed sensorless PMSM drives: Design methods, tuning challenges and future trends," IEEE Access, Vol. 9, 56397-56415, 2021.
doi:10.1109/access.2021.3072360        Google Scholar

7. Li, Xinyue, Wei Tian, Xiaonan Gao, Qifan Yang, and Ralph Kennel, "A generalized observer-based robust predictive current control strategy for PMSM drive system," IEEE Transactions on Industrial Electronics, Vol. 69, No. 2, 1322-1332, 2022.
doi:10.1109/tie.2021.3062271        Google Scholar

8. Li, Xinyue and Ralph Kennel, "General formulation of Kalman-filter-based online parameter identification methods for VSI-fed PMSM," IEEE Transactions on Industrial Electronics, Vol. 68, No. 4, 2856-2864, 2021.
doi:10.1109/tie.2020.2977568        Google Scholar

9. Liu, Zixuan, Xiaoyan Huang, Qichao Hu, Geng Yang, Yunchong Wang, and Jianxin Shen, "Model-free predictive current control of PMSM using modified extended state observer," IEEE Transactions on Power Electronics, Vol. 40, No. 1, 679-690, 2025.
doi:10.1109/tpel.2024.3476318        Google Scholar

10. Xu, Wei, Abdul Khalique Junejo, Yi Liu, Mohamed G. Hussien, and Jianguo Zhu, "An efficient antidisturbance sliding-mode speed control method for PMSM drive systems," IEEE Transactions on Power Electronics, Vol. 36, No. 6, 6879-6891, 2021.
doi:10.1109/tpel.2020.3039474        Google Scholar

11. Lu, Wenqi, Bo Tang, Kehui Ji, Kaiyuan Lu, Dong Wang, and Zhijun Yu, "A new load adaptive identification method based on an improved sliding mode observer for PMSM position servo system," IEEE Transactions on Power Electronics, Vol. 36, No. 3, 3211-3223, 2021.
doi:10.1109/tpel.2020.3016713        Google Scholar

12. Ye, Shuaichen, "A novel fuzzy flux sliding-mode observer for the sensorless speed and position tracking of PMSMs," Optik, Vol. 171, 319-325, 2018.
doi:10.1016/j.ijleo.2018.06.074        Google Scholar

13. Chen, Zhe, Abd Alrahman Dawara, Xuxuan Zhang, Hang Zhang, Chunqiang Liu, and Guangzhao Luo, "Adaptive sliding mode observer-based sensorless control for SPMSM employing a dual-PLL," IEEE Transactions on Transportation Electrification, Vol. 8, No. 1, 1267-1277, 2022.
doi:10.1109/tte.2021.3112123        Google Scholar

14. Zou, Xinhong, Hongchang Ding, and Jinhong Li, "Sensorless control strategy of permanent magnet synchronous motor based on fuzzy sliding mode controller and fuzzy sliding mode observer," Journal of Electrical Engineering & Technology, Vol. 18, No. 3, 2355-2369, 2023.
doi:10.1007/s42835-022-01352-4        Google Scholar

15. Gong, Chao, Yihua Hu, Jinqiu Gao, Yangang Wang, and Liming Yan, "An improved delay-suppressed sliding-mode observer for sensorless vector-controlled PMSM," IEEE Transactions on Industrial Electronics, Vol. 67, No. 7, 5913-5923, 2020.
doi:10.1109/tie.2019.2952824        Google Scholar

16. Wu, Xiang, Boliang Wu, Shuo Chen, Wen Ding, Zhixun Ma, and Yaofei Han, "An anti-DC offset interference sensorless control method for PMSM based on improved SMO and MDCF-FPS-PLL," IEEE Journal of Emerging and Selected Topics in Power Electronics, Vol. 14, No. 1, 555-568, 2026.
doi:10.1109/jestpe.2025.3593542        Google Scholar

17. Wang, Gaolin, Zhuomin Li, Guoqiang Zhang, Yong Yu, and Dianguo Xu, "Quadrature PLL-based high-order sliding-mode observer for IPMSM sensorless control with online MTPA control strategy," IEEE Transactions on Energy Conversion, Vol. 28, No. 1, 214-224, 2013.
doi:10.1109/tec.2012.2228484        Google Scholar

18. Wang, Can, Jinliang Liu, Yue Hong, and Jianfei Pan, "Design of a fuzzy-based adaptive gain filter for PMSM servo systems with maneuverability," IEEE Transactions on Industrial Informatics, Vol. 19, No. 9, 9394-9403, 2023.
doi:10.1109/tii.2022.3228681        Google Scholar

19. Sarate, Poonam P. and Sadhana V. Jadhav, "A novel non-linear adaptive observer for PMSM drives," 2022 IEEE International Power and Renewable Energy Conference (IPRECON), 1-6, Kollam, India, 2022.
doi:10.1109/IPRECON55716.2022.10059511

20. Ma, Jun, Xianqun Qiu, Huanqing Xu, and Zhendong Yin, "Sensorless control of permanent magnet synchronous motor based on variable gain load torque observer," IEEE Access, Vol. 13, 115226-115235, 2025.
doi:10.1109/access.2025.3584506        Google Scholar

21. Wang, Dongheng, Bingqiang Li, and Yiyun Zhao, "An adaptive SMO approach for low-chattering sensorless control of PMSM," IEEE Transactions on Power Electronics, Vol. 40, No. 10, 15329-15338, 2025.
doi:10.1109/tpel.2025.3535457        Google Scholar

22. Cheng, Zhenxing, Liyi Li, Xiaowang Liu, Xun Bai, and Jiaxi Liu, "Sensorless control based on discrete fractional-order terminal sliding mode observer for high-speed PMSM with LCL filter," IEEE Transactions on Power Electronics, Vol. 40, No. 1, 1654-1668, 2025.
doi:10.1109/tpel.2024.3443401        Google Scholar

23. Xu, Wenjun, Shaocheng Qu, and Chen Zhang, "Fast terminal sliding mode current control with adaptive extended state disturbance observer for PMSM system," IEEE Journal of Emerging and Selected Topics in Power Electronics, Vol. 11, No. 1, 418-431, 2023.
doi:10.1109/jestpe.2022.3185777        Google Scholar

24. Bao, Danyang, Xuewei Pan, Yi Wang, Xinshuo Wang, and Ke Li, "Adaptive synchronous-frequency tracking-mode observer for the sensorless control of a surface PMSM," IEEE Transactions on Industry Applications, Vol. 54, No. 6, 6460-6471, 2018.
doi:10.1109/tia.2018.2851510        Google Scholar

25. Wang, Bo, Yanzhen Shao, Yong Yu, Qinghua Dong, Zhipeng Yun, and Dianguo Xu, "High-order terminal sliding-mode observer for chattering suppression and finite-time convergence in sensorless SPMSM drives," IEEE Transactions on Power Electronics, Vol. 36, No. 10, 11910-11920, 2021.
doi:10.1109/tpel.2021.3068495        Google Scholar