A robust hybrid control strategy for enhancing torque stability and performance in PMSM drives

Authors

DOI:

https://doi.org/10.20998/2074-272X.2025.6.09

Keywords:

permanent magnet synchronous motor, sliding mode control, proportional resonant control, integral absolute error, integral time absolute error, integral square error, Luenberger observer, Kalman filter

Abstract

Introduction. Recently, permanent magnet synchronous motors (PMSMs) have become essential in various high-performance applications, including electric vehicles and renewable energy systems. However, traditional control methods, such as PI controllers, often struggle to handle dynamic operating conditions and external disturbances, resulting in torque ripple and stability issues. Problem. The main issue with existing control strategies is their inability to maintain accurate torque control and system stability under fluctuating loads and varying motor parameters, which negatively impacts performance in real-world applications. Goal. This paper proposes a robust hybrid control strategy that integrates sliding mode control (SMC) with proportional resonant control (PRC), enhanced by Luenberger and Kalman observers. The goal is to improve torque stability, reduce errors, and optimize performance in PMSM drive systems. Methodology. The proposed method combines SMC and PRC to form an SMC-PRC controller, with Luenberger and Kalman observers integrated for effective load torque estimation. Results. The simulation experiments were carried out to compare the effectiveness of the proposed control strategy with that of traditional PI controllers. The results revealed that the SMC-PRC approach offers a notable improvement in overall control performance, including reduced tracking error, enhanced dynamic response, and better stability. Furthermore, the proposed method achieved faster settling times and maintained robust operation under varying system conditions. Scientific novelty. This work introduces a hybrid control approach that combines SMC and PRC with advanced state estimation techniques, providing a robust and efficient solution to PMSM control. Practical value. The proposed method is highly beneficial for applications under dynamic operating conditions, such as electric vehicles and renewable energy systems, improving system efficiency and stability. References 40, tables 7, figures 10.

Author Biographies

V. T. K. Nhi, Industrial University of Ho Chi Minh City

Postgraduate Student, Lecturer, Faculty of Electrical Engineering Technology

B. T. Quy, Industrial University of Ho Chi Minh City

PhD, Faculty of Electrical Engineering Technology

H. H. B. Nghia, Industrial University of Ho Chi Minh City

College Student, Faculty of Electrical Engineering Technology

L. V. Dai, Industrial University of Ho Chi Minh City

PhD, Faculty of Electrical Engineering Technology

References

Hassan A.M., Ababneh J., Attar H., Shamseldin T., Abdelbaset A., Metwally M.E. Reinforcement learning algorithm for improving speed response of a five-phase permanent magnet synchronous motor based model predictive control. PLOS ONE, 2025, vol. 20, no. 1, art. no. e0316326. doi: https://doi.org/10.1371/journal.pone.0316326.

Hu J., Yao Z., Xin Y., Sun Z. Design and optimization of the jet cooling structure for permanent magnet synchronous motor. Applied Thermal Engineering, 2025, vol. 260, art. no. 125051. doi: https://doi.org/10.1016/j.applthermaleng.2024.125051.

Liu F., Wang X., Sun L., Wei H., Li C., Ren J. Improved 3D hybrid thermal model for global temperature distribution prediction of interior permanent magnet synchronous motor. Energy, 2025, vol. 315, art. no. 134270. doi: https://doi.org/10.1016/j.energy.2024.134270.

Dien C.N., Nghia H.H.B. Optimizing Permanent Magnet Synchronous Motor Performance Considering Both Maximum Torque Per Ampere and Field Weakening. International Journal of Intelligent Engineering & Systems, 2025, vol. 18, no. 1, pp. 1121-1136. doi: https://doi.org/10.22266/ijies2025.0229.81.

Meng D., Wu Q., Zhang J., Li Y., Diao L. Restarting control of free-running interior permanent magnet synchronous motor under position sensorless control. Alexandria Engineering Journal, 2025, vol. 115, pp. 83-93. doi: https://doi.org/10.1016/j.aej.2024.11.111.

Liang Z., Cheng L., Cheng L., Li C. Rotor Position Estimation Algorithm for Surface-Mounted Permanent Magnet Synchronous Motor Based on Improved Super-Twisting Sliding Mode Observer. Electronics, 2025, vol. 14, no. 3, art. no. 436. doi: https://doi.org/10.3390/electronics14030436.

Alnaib I.I., Alsammak A.N. Optimization of fractional PI controller parameters for enhanced induction motor speed control via indirect field-oriented control. Electrical Engineering & Electromechanics, 2025, no. 1, pp. 3-7. doi: https://doi.org/10.20998/2074-272X.2025.1.01.

Mesloub H., Boumaaraf R., Benchouia M.T., Golea A., Golea N., Srairi K. Comparative study of conventional DTC and DTC_SVM based control of PMSM motor – Simulation and experimental results. Mathematics and Computers in Simulation, 2020, vol. 167, pp. 296-307. doi: https://doi.org/10.1016/j.matcom.2018.06.003.

Nemouchi B., Rezgui S.E., Benalla H., Nebti K. Fractional-based iterative learning-optimal model predictive control of speed induction motor regulation for electric vehicles application. Electrical Engineering & Electromechanics, 2024, no. 5, pp. 14-19. doi: https://doi.org/10.20998/2074-272X.2024.5.02.

Lee J., You S., Kim W., Moon J. Extended state observer-actor–critic architecture based output-feedback optimized backstepping control for permanent magnet synchronous motors. Expert Systems with Applications, 2025, vol. 270, art. no. 126542. doi: https://doi.org/10.1016/j.eswa.2025.126542.

Gu J., You S., Kim W., Moon J. Fuzzy Event-Triggered Super Twisting Sliding Mode Control for Position Tracking of Permanent Magnet Synchronous Motors Under Unknown Disturbances. IEEE Transactions on Industrial Informatics, 2023, vol. 19, no. 9, pp. 9843-9854. doi: https://doi.org/10.1109/TII.2022.3231410.

Aib A., Khodja D.E., Chakroune S., Rahali H. Fuzzy current analysis-based fault diagnostic of induction motor using hardware co-simulation with field programmable gate array. Electrical Engineering & Electromechanics, 2023, no. 6, pp. 3-9. doi: https://doi.org/10.20998/2074-272X.2023.6.01.

Gil J., You S., Lee Y., Kim W. Nonlinear sliding mode controller using disturbance observer for permanent magnet synchronous motors under disturbance. Expert Systems with Applications, 2023, vol. 214, art. no. 119085. doi: https://doi.org/10.1016/j.eswa.2022.119085.

Liu X., Wang Z., Wang W., Lv Y., Yuan B., Wang S., Li W., Li Q., Zhang Q., Chen Q. SMO-Based Sensorless Control of a Permanent Magnet Synchronous Motor. Frontiers in Energy Research, 2022, vol. 10, art. no. 839329. doi: https://doi.org/10.3389/fenrg.2022.839329.

Yao G., Wang X., Wang Z., Xiao Y. Senseless Control of Permanent Magnet Synchronous Motors Based on New Fuzzy Adaptive Sliding Mode Observer. Electronics, 2023, vol. 12, no. 15, art. no. 3266. doi: https://doi.org/10.3390/electronics12153266.

Yousefi-Talouki A., Pescetto P., Pellegrino G., Boldea I. Combined Active Flux and High-Frequency Injection Methods for Sensorless Direct-Flux Vector Control of Synchronous Reluctance Machines. IEEE Transactions on Power Electronics, 2018, vol. 33, no. 3, pp. 2447-2457. doi: https://doi.org/10.1109/TPEL.2017.2697209.

Pasqualotto D., Rigon S., Zigliotto M. Sensorless Speed Control of Synchronous Reluctance Motor Drives Based on Extended Kalman Filter and Neural Magnetic Model. IEEE Transactions on Industrial Electronics, 2023, vol. 70, no. 2, pp. 1321-1330. doi: https://doi.org/10.1109/TIE.2022.3159962.

Jiang F., Sun S., Liu A., Xu Y., Li Z., Liu X., Yang K. 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, 2021, vol. 36, no. 4, pp. 4802-4814. doi: https://doi.org/10.1109/TPEL.2020.3019533.

Zhang Y., Yin Z., Bai C., Wang G., Liu J. A Rotor Position and Speed Estimation Method Using an Improved Linear Extended State Observer for IPMSM Sensorless Drives. IEEE Transactions on Power Electronics, 2021, vol. 36, no. 12, pp. 14062-14073. doi: https://doi.org/10.1109/TPEL.2021.3085126.

Zhang G., Wang G., Xu D., Zhao N. ADALINE-Network-Based PLL for Position Sensorless Interior Permanent Magnet Synchronous Motor Drives. IEEE Transactions on Power Electronics, 2016, vol. 31, no. 2, pp. 1450-1460. doi: https://doi.org/10.1109/TPEL.2015.2424256.

Kim H., Son J., Lee J. A High-Speed Sliding-Mode Observer for the Sensorless Speed Control of a PMSM. IEEE Transactions on Industrial Electronics, 2011, vol. 58, no. 9, pp. 4069-4077. doi: https://doi.org/10.1109/TIE.2010.2098357.

Wu C., Sun X., Wang J. A Rotor Flux Observer of Permanent Magnet Synchronous Motors With Adaptive Flux Compensation. IEEE Transactions on Energy Conversion, 2019, vol. 34, no. 4, pp. 2106-2117. doi: https://doi.org/10.1109/TEC.2019.2932787.

Xu W., Jiang Y., Mu C., Blaabjerg F. Improved Nonlinear Flux Observer-Based Second-Order SOIFO for PMSM Sensorless Control. IEEE Transactions on Power Electronics, 2019, vol. 34, no. 1, pp. 565-579. doi: https://doi.org/10.1109/TPEL.2018.2822769.

Yingjun S., Zhenglong W., Yuanyuan F. An adaptive extended Kalman filter observer-for permanent magnet synchronous motor position sensorless control systems. Scientific Reports, 2025, vol. 15, no. 1, art. no. 11605. doi: https://doi.org/10.1038/s41598-025-85787-5.

Salvatore N., Caponio A., Neri F., Stasi S., Cascella G.L. Optimization of Delayed-State Kalman-Filter-Based Algorithm via Differential Evolution for Sensorless Control of Induction Motors. IEEE Transactions on Industrial Electronics, 2010, vol. 57, no. 1, pp. 385-394. doi: https://doi.org/10.1109/TIE.2009.2033489.

Zerdali E., Barut M. The Comparisons of Optimized Extended Kalman Filters for Speed-Sensorless Control of Induction Motors. IEEE Transactions on Industrial Electronics, 2017, vol. 64, no. 6, pp. 4340-4351. doi: https://doi.org/10.1109/TIE.2017.2674579.

Yin Z., Xiao L., Sun X., Liu J., Zhong Y. A speed and flux estimation method of induction motor using fuzzy extended Kalman filter. 2014 International Power Electronics and Application Conference and Exposition, 2014, pp. 693-698. doi: https://doi.org/10.1109/PEAC.2014.7037941.

Wang T., Huang S., Gao M., Wang Z. Adaptive Extended Kalman Filter Based Dynamic Equivalent Method of PMSG Wind Farm Cluster. IEEE Transactions on Industry Applications, 2021, vol. 57, no. 3, pp. 2908-2917. doi: https://doi.org/10.1109/TIA.2021.3055749.

Zerdali E. Adaptive Extended Kalman Filter for Speed-Sensorless Control of Induction Motors. IEEE Transactions on Energy Conversion, 2019, vol. 34, no. 2, pp. 789-800. doi: https://doi.org/10.1109/TEC.2018.2866383.

Simon D. Optimal State Estimation: Kalman, H∞, and Nonlinear Approaches. John Wiley & Sons, 2006. 526 p. doi: https://doi.org/10.1002/0470045345.

Saberi S., Rezaie B. Sensorless FCS-MPC-based speed control of a permanent magnet synchronous motor fed by 3-level NPC. Journal of Renewable Energy and Environment, 2021, vol. 18, no. 2, pp. 13-20. doi: https://doi.org/10.30501/JREE.2020.234039.1118.

Abu Ibaid O.Z.I., Belhamdi S., Abid M., Chakroune S., Mouassa S., Al-Sagar Z.S. Wavelet packet analysis for rotor bar breakage in an inverter induction motor. Electrical Engineering & Electromechanics, 2023, no. 3, pp. 3-11. doi: https://doi.org/10.20998/2074-272X.2023.3.01.

Kuvvetli I., Tap A., Ergenc A.F., Ergene L.T. An adaptive neurofuzzy inference system controller design of an SPMSM drive for multicopter applications. Transactions of the Institute of Measurement and Control, 2024, pp. 1-15. doi: https://doi.org/10.1177/01423312241286042.

Kimouche A., Mekideche M.R., Chebout M., Allag H. Influence of permanent magnet parameters on the performances of claw pole machines used in hybrid vehicles. Electrical Engineering & Electromechanics, 2024, no. 4, pp. 3-8. doi: https://doi.org/10.20998/2074-272X.2024.4.01.

Boudouani S., Yahdou A., Benbouhenni H., Boudjema Z., Almalki M.M., Alghamdi T.A. Enhanced speed sensorless control of IPMSM using integral synergetic observer. Measurement and Control, 2025, pp. 1-15. doi: https://doi.org/10.1177/00202940241312846.

Caramori G.M., De Almeira L.M.M., Da Costa C. Enhanced Position Estimation of PMSM Using the Luenberger Observer and PLL Algorithm: Design and Simulation Study. European Journal of Engineering and Technology Research, 2023, vol. 8, no. 6, pp. 37-44. doi: https://doi.org/10.24018/ejeng.2023.8.6.3122.

Saifi R. Implementation of a new flux rotor based on model reference adaptive system for sensorless direct torque control modified for induction motor. Electrical Engineering & Electromechanics, 2023, no. 2, pp. 37-42. doi: https://doi.org/10.20998/2074-272X.2023.2.06.

Moussaoui L., Aouaouda S., Rouaibia R. Fault tolerant control of a permanent magnet synchronous machine using multiple constraints Takagi-Sugeno approach. Electrical Engineering & Electromechanics, 2022, no. 6, pp. 22-27. doi: https://doi.org/10.20998/2074-272X.2022.6.04.

Dilys J., Stankevič V., Łuksza K. Implementation of Extended Kalman Filter with Optimized Execution Time for Sensorless Control of a PMSM Using ARM Cortex-M3 Microcontroller. Energies, 2021, vol. 14, no. 12, art. no. 3491. doi: https://doi.org/10.3390/en14123491.

Rouaibia R., Djeghader Y., Moussaoui L. Artificial neural network and discrete wavelet transform for inter-turn short circuit and broken rotor bars faults diagnosis under various operating conditions. Electrical Engineering & Electromechanics, 2024, no. 3, pp. 31-37. doi: https://doi.org/10.20998/2074-272X.2024.3.04.

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Published

2025-11-02

How to Cite

Nhi, V. T. K., Quy, B. T., Nghia, H. H. B., & Dai, L. V. (2025). A robust hybrid control strategy for enhancing torque stability and performance in PMSM drives. Electrical Engineering & Electromechanics, (6), 64–74. https://doi.org/10.20998/2074-272X.2025.6.09

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Section

Electrotechnical complexes and Systems