volume | PIER Journals

Abstract

This paper proposes a composite control strategy integrating Adaptive Non-singular Terminal Sliding Mode Control (ANTSMC) with a Non-singular Fast Terminal Double-Power Sliding Mode Observer (NFTDPSMO) to achieve high-precision control of PMSM system. The strategy combines an adaptive non-singular terminal sliding mode controller with a novel sliding mode disturbance observer. The ANTSMC adaptively adjusts the convergence speed according to the distance between the system state and the sliding surface to suppress chattering, while the NFTDPSMO employs a triple-composite term with denominator modification to achieve singularity-free operation and global fast convergence. Simulated and experimental results demonstrate that under complex operating conditions including parameter perturbations, load variations, and external disturbances, the proposed composite controller achieves faster dynamic response, reduced current and torque pulsations, lower harmonic distortion (THD of only 7.1%), and significantly enhanced robustness and steady-state performance.

1. Wang, Guoqiang, Dong Wang, Heyun Lin, Jiyao Wang, and Xinqiang Yi, "A DC error suppression adaptive second-order backstepping observer for sensorless control of PMSM," IEEE Transactions on Power Electronics, Vol. 39, No. 6, 6664-6676, 2024.
doi:10.1109/tpel.2024.3367326

2. Liu, Junqin, Zhentong Wang, Feng Deng, Kaihui Zhao, and Xiangfei Li, "Continuous high-order sliding mode optimization control of PMSM based on STSMO," Progress In Electromagnetics Research Letters, Vol. 127, 29-37, 2025.
doi:10.2528/PIERL25070101

3. Zhang, Zhang, Xiaodong Yang, Weiyu Wang, Kaiwen Chen, Norbert Chow Cheung, and Jianfei Pan, "Enhanced sliding mode control for PMSM speed drive systems using a novel adaptive sliding mode reaching law based on exponential function," IEEE Transactions on Industrial Electronics, Vol. 71, No. 10, 11978-11988, 2024.
doi:10.1109/tie.2023.3347845

4. Rajeevan, P. P., et al. "A direct torque control scheme with integrated commutation torque ripple reduction for BLDC motor drives with open-end windings," IEEE Open Journal of Power Electronics, Vol. 6, 449-463, 2025.
doi:10.1109/ojpel.2025.3545738

5. Zhnag, Yongzhen, Pu Cheng, Kai Shen, Weiming He, Di Nian, and Jun Pan, "A three-vector fast model predictive control method for steady state performance improvement," IEEE Access, Vol. 13, 1751-1763, 2025.
doi:10.1109/access.2024.3519619

6. Li, Xiangfei, Junqin Liu, Yang Yin, and Kaihui Zhao, "Improved super-twisting non-singular fast terminal sliding mode control of interior permanent magnet synchronous motor considering time-varying disturbance of the system," IEEE Access, Vol. 11, 17485-17496, 2023.
doi:10.1109/access.2023.3244190

7. Wang, Fengxiang, Yao Wei, Hector Young, Dongliang Ke, Haotian Xie, and José Rodríguez, "Continuous-control-set model-free predictive fundamental current control for PMSM system," IEEE Transactions on Power Electronics, Vol. 38, No. 5, 5928-5938, 2023.
doi:10.1109/tpel.2023.3240282

8. Liu, Junqin, Yin Yang, Xiangfei Li, Kaihui Zhao, Zhixuan Yi, and Zhou Xin, "Improved model-free continuous super-twisting non-singular fast terminal sliding mode control of IPMSM," IEEE Access, Vol. 11, 85361-85373, 2023.
doi:10.1109/access.2023.3303843

9. Dai, Bin, Zuo Wang, Jianfeng Zhao, and Shihua Li, "Critical current-constrained continuous nonsingular terminal sliding mode control for PMSM based on control barrier function," IEEE Transactions on Power Electronics, Vol. 40, No. 10, 15093-15103, 2025.
doi:10.1109/tpel.2025.3576340

10. Li, Xiangfei, Junqin Liu, Kaihui Zhao, Yang Yin, and Lihua Zou, "An improved model-free sliding mode control algorithm of super-twisting for SPMSM," Progress In Electromagnetics Research C, Vol. 135, 195-210, 2023.
doi:10.2528/pierc23061502

11. Li, Xiangfei, Junqin Liu, Kaihui Zhao, Yang Yin, and Lihua Zou, "Improved non-singular fast terminal sensor-less sliding mode control of IPMSM considering external disturbance and parameter perturbation," Progress In Electromagnetics Research B, Vol. 102, 81-98, 2023.
doi:10.2528/pierb23050202

12. Wang, Jiaoyang, Renjun Zhou, and Junqin Liu, "New non-singular fast terminal sliding mode control of permanent magnet synchronous motor based on super-twisting sliding mode observer," Progress In Electromagnetics Research C, Vol. 146, 151-162, 2024.
doi:10.2528/pierc24061501

13. He, Yingshen, 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

14. Zhao, Kaihui, Wenchang Liu, Ruirui Zhou, Wangke Dai, Sicheng Wu, Pengqi Qiu, Yang Yin, Ning Jia, Jinwu Yi, and Gang Huang, "Model-free fast integral terminal sliding-mode control method based on improved fast terminal sliding-mode observer for PMSM with unknown disturbances," ISA Transactions, Vol. 143, 572-581, 2023.
doi:10.1016/j.isatra.2023.09.025

15. 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

16. Guo, Xin, Shoudao Huang, Kaiyuan Lu, Yu Peng, Haixin Wang, and Junyou Yang, "A fast sliding mode speed controller for PMSM based on new compound reaching law with improved sliding mode observer," IEEE Transactions on Transportation Electrification, Vol. 9, No. 2, 2955-2968, 2023.
doi:10.1109/tte.2022.3213562

17. Dang, Changliang, Manfeng Dou, Shuhao Yan, Mengxi Dang, Zhiguang Hua, and Dongdong Zhao, "A sliding mode prediction error compensation of incremental model-based deadbeat predictive current control for SPMSM drives with a sliding mode speed controller," IEEE Transactions on Transportation Electrification, Vol. 11, No. 4, 9724-9739, 2025.
doi:10.1109/tte.2025.3550575

18. Texis-Loaiza, Oscar, Jaime A. Moreno, Manuel A. Estrada, Leonid Fridman, and Arie Levant, "Output feedback control of nonlinear systems via lipschitz continuous sliding modes," IEEE Control Systems Letters, Vol. 9, 378-383, 2025.
doi:10.1109/lcsys.2025.3570982

19. 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, 2025.
doi:10.1109/tia.2025.3540986

20. Liu, Lin, Heng Dong, Xiaobing Xu, Zanxian Tan, Jiayuan Geng, and Baiyang Liu, "Improved sliding mode disturbance observer-based model-free finite-time terminal sliding mode control for IPMSM speed ripple minimization," Control Engineering Practice, Vol. 155, 106178, 2025.
doi:10.1016/j.conengprac.2024.106178

Professor Junqin Liu

Dr. Zhentong Wang

Dr. Tianle Li

Dr. Feng Deng

Dr. Xinchun Jiang

Professor Kaihui Zhao

Dr. Xiangfei Li