2025-06-17
Improved Terminal Sliding Mode Control of PMSM Dual-Inertia System with Acceleration Feedback Based on Finite-Time ESO
By
Progress In Electromagnetics Research M, Vol. 134, 21-30, 2025
Abstract
When permanent magnet synchronous motors (PMSMs) drive flexible loads, unknown disturbances (such as sudden load torque changes, parameter uncertainties, and unmodeled dynamics), can degrade the control performance of the system and may even cause irreversible physical damage. To deal with this problem, this paper presents an improved non-singular terminal sliding mode control (INTSMC) scheme based on a finite-time extended state observer. First, the acceleration feedback is introduced into the speed loop to establish the dual-inertia model of the PMSM flexible load system. Secondly, the conventional exponential reaching law is improved to obtain a novel reaching law with adaptive adjustment of the convergence speed, and a novel INTSMC controller is designed accordingly to enhance the system response speed. Then, a finite-time extended state observer (FTESO) is designed to estimate the disturbances of the system, and the estimated disturbances are compensated for the INTSMC controller to achieve convergence in finite time and improve the robustness of the system. The finite-time stability theory is used to prove the stability of the designed controller and observer. Finally, the simulations and experiments demonstrate the effectiveness of the proposed control scheme in improving the system’s anti-disturbance capability.
Citation
Yingshen He, Kaihui Zhao, Zhixuan Yi, and Yishan Huang, "Improved Terminal Sliding Mode Control of PMSM Dual-Inertia System with Acceleration Feedback Based on Finite-Time ESO," Progress In Electromagnetics Research M, Vol. 134, 21-30, 2025.
doi:10.2528/PIERM25040405
References

1. Jia, Ning, Kaihui Zhao, Yuying Lv, and Xiangfei Li, "Non-singular fast terminal sliding mode control torsional vibration suppression for PM synchronous transmission system of EVs," Progress In Electromagnetics Research M, Vol. 122, 63-72, 2023.
doi:10.2528/PIERM23062401        Google Scholar

2. Wang, Bo, Minghe Tian, Yong Yu, Qinghua Dong, and Dianguo Xu, "Enhanced ADRC with quasi-resonant control for PMSM speed regulation considering aperiodic and periodic disturbances," IEEE Transactions on Transportation Electrification, Vol. 8, No. 3, 3568-3577, Sep. 2022.        Google Scholar

3. Madonski, Rafal, Momir Stanković, Sally Shao, Zhiqiang Gao, Jun Yang, and Shihua Li, "Active disturbance rejection control of torsional plant with unknown frequency harmonic disturbance," Control Engineering Practice, Vol. 100, 104413, Jul. 2020.        Google Scholar

4. Śleszycki, Kacper, Karol Wróbel, Krzysztof Szabat, and Seiichiro Katsura, "Parameter identification of the two-mass system with the help of multi-layer estimator," 2021 IEEE 30th International Symposium on Industrial Electronics (ISIE), 1-6, Kyoto, Japan, Jun. 2021.

5. Wang, Baofang, Makoto Iwasaki, and Jinpeng Yu, "Command filtered adaptive backstepping control for dual-motor servo systems with torque disturbance and uncertainties," IEEE Transactions on Industrial Electronics, Vol. 69, No. 2, 1773-1781, Feb. 2022.        Google Scholar

6. Sun, Le, Xiaoxiang Li, Longmiao Chen, Huan Shi, and Zechao Jiang, "Dual-motor coordination for high-quality servo with transmission backlash," IEEE Transactions on Industrial Electronics, Vol. 70, No. 2, 1182-1196, 2023.        Google Scholar

7. Lu, Y., K. Zhao, X. You, M. Qiao, Y. He, and L. Tu, "Model-free recursive terminal sliding mode control for a permanent magnet synchronous motor dual inertia system based on a double disturbance observer," Power System Protection and Control, Vol. 52, No. 21, 129-139, 2024.
doi:10.23919/PCMP.2023.000085        Google Scholar

8. Shao, Ke, Jinchuan Zheng, Chao Yang, Feng Xu, Xueqian Wang, and Xiu Li, "Chattering-free adaptive sliding-mode control of nonlinear systems with unknown disturbances," Computers & Electrical Engineering, Vol. 96, 107538, 2021.        Google Scholar

9. Shao, Ke, "Nested adaptive integral terminal sliding mode control for high-order uncertain nonlinear systems," International Journal of Robust and Nonlinear Control, Vol. 31, No. 14, 6668-6680, 2021.        Google Scholar

10. Hou, Huazhou, Xinghuo Yu, Long Xu, Raymond Chuei, and Zhenwei Cao, "Discrete-time terminal sliding-mode tracking control with alleviated chattering," IEEE/ASME Transactions on Mechatronics, Vol. 24, No. 4, 1808-1817, 2019.        Google Scholar

11. Yu, Xinghuo, Yong Feng, and Zhihong Man, "Terminal sliding mode control --- An overview," IEEE Open Journal of the Industrial Electronics Society, Vol. 2, 36-52, 2020.        Google Scholar

12. Xu, Dezhi, Bo Ding, Bin Jiang, Weilin Yang, and Peng Shi, "Nonsingular fast terminal sliding mode control for permanent magnet linear synchronous motor via high-order super-twisting observer," IEEE/ASME Transactions on Mechatronics, Vol. 27, No. 3, 1651-1659, Jun. 2022.        Google Scholar

13. Kang, E., H. Yu, and K. Han, "Nonlinear gain non-singular fast terminal sliding mode control for permanent magnet synchronous motors," Electric Machines and Control, Vol. 28, No. 5, 73-81, 2024.        Google Scholar

14. Jiang, Feng, Songjun Sun, Anming Liu, Yunliu Xu, Zhixiong Li, Xicai Liu, and Kai Yang, "Robustness improvement of model-based sensorless SPMSM drivers based on an adaptive extended state observer and an enhanced quadrature PLL," IEEE Transactions on Power Electronics, Vol. 36, No. 4, 4802-4814, Apr. 2021.        Google Scholar

15. Wang, Min, Yanhong Liu, Qi Wang, Yuefeng Liao, and Patrick Wheeler, "Speed‐current single‐loop control of PMSM based on model‐assisted cascaded extended state observer and sliding mode control," International Journal of Circuit Theory and Applications, Vol. 52, No. 7, 3558-3583, Jul. 2024.        Google Scholar

16. Yang, Jieshi, Yinghao Ye, Yun Cheng, and Liang Hua, "Nonsingular terminal sliding mode control of the yarn winding process based on a finite-time extended state observer," IEEE Access, Vol. 13, 21610-21619, 2025.        Google Scholar

17. Hou, Qiankang and Shihong Ding, "Finite-time extended state observer-based super-twisting sliding mode controller for PMSM drives with inertia identification," IEEE Transactions on Transportation Electrification, Vol. 8, No. 2, 1918-1929, Jun. 2022.        Google Scholar

18. Zhang, Xiaoyan, Wenchao Xue, Zibo Liu, Ran Zhang, and Huifeng Li, "Compensated acceleration feedback based active disturbance rejection control for launch vehicles," Chinese Journal of Aeronautics, Vol. 37, No. 4, 464-478, 2024.        Google Scholar

19. Yu, Jing, Yong Feng, and J. F. Zheng, "Suppression of mechanical resonance based on higher-order sliding mode and acceleration feedback," Control Theory & Applications, Vol. 26, No. 10, 1133-1136, 2009.        Google Scholar

20. Hou, Qiankang and Shihong Ding, "Finite-time extended state observer-based super-twisting sliding mode controller for PMSM drives with inertia identification," IEEE Transactions on Transportation Electrification, Vol. 8, No. 2, 1918-1929, Jun. 2022.        Google Scholar

21. Wang, Honghong, Bing Chen, Chong Lin, Yumei Sun, and Fang Wang, "Adaptive finite-time control for a class of uncertain high-order non-linear systems based on fuzzy approximation," IET Control Theory & Applications, Vol. 11, No. 5, 677-684, 2017.        Google Scholar