Abstract
A second-order ordinary differential equation model is originally constructed for the phase q current system of a permanent magnet synchronous motor (PMSM). The phase q current model contains the effect of a counter electromotive force (CEMF), which introduces nonlinearity to the system. In order to compensate the nonlinearity and system uncertainties, a traditional sliding mode controller (SMC) combined with a low-pass filter (also known as a modified SMC) is designed on the phase q current model. The low-pass filter overcomes chattering effects in control efforts, and hence improves the performance of the controller. The phase q current control system is proved to be stable using Lyapunov approach. In addition, an alternative active disturbance rejection controller (ADRC) with a reduced-order extended state observer (ESO) is applied to control the speed output of PMSM. Both SMC and ADRC are simulated on the PMSM system. The simulation results demonstrate the effectiveness of these two controllers in successfully driving the current and speed outputs to desired values despite load disturbances and system uncertainties.
Similar content being viewed by others
References
J. Gieras. Permanent Magnet Motor Technology: Design and Applications. 3rd ed. Boca Raton: CRC Press, 2009.
G. S. Lakshmi, S. Kamakshaiah, T. R. Das. Closed loop PI control of PMSM for hybrid electric vehicle using three level diode clamped inverter for optimal efficiency. International Conference on Energy Efficient Technologies for Sustainability, Nagercoil: IEEE, 2013: 754–759.
M. Karabacak, H. Eskikurt. Design, modelling and simulation of a new nonlinear and full adaptive backstepping speed tracking controller for uncertain PMSM. Applied Mathematical Modelling, 2012, 36(11): 5199–5213.
M. Wishart, G. Diana, R. Harley. Controller design for applying field-oriented control to the permanent magnet synchronous machine. Electric Power Systems Research, 1990, 19(3): 219–227.
J. Han. From PID to active disturbance rejection control. IEEE Transactions on Industrial Electronics, 2009, 56(3): 900–906.
K. Kim, M. Youn. A nonlinear speed control for a PM synchronous motor using a simple disturbance estimation technique. IEEE Transactions on Industrial Electronics, 2002, 49(3): 524–535.
C. Elmas, O. Ustun, H. Sayan. A neuro-fuzzy controller for speed control of a permanent magnet synchronous motor drive. Expert Systems with Applications, 2008, 34(1): 657–664.
V. C. Ilioudis, N. I. Margaris. Sensorless PMSM speed observer with stator resistance estimation. IFAC Proceedings Volumes, 2009, 42(9): 362–367.
S. Li, K. Zong, H. Liu. A composite speed controller based on a second-order model of permanent magnet synchronous motor system. Transactions of the Institute of Measurement and Control, 2011, 33(5): 522–541.
M. Sabra, B. Khasawneh, M. A. Zohdy. Nonlinear control of interior PMSM using control Lyapunov functions. Transactions of the Institute of Measurement and Control, 2011, 33(5): 522–541.
S. Chen, Y. Luo, Y. Pi. PMSM sensorless control with separate control strategies and smooth switch from low speed to high speed. ISA Transactions, 2015, 58: 650–658.
A. Apte, V. Joshi, R. Walambe, et al. Speed control of PMSM using disturbance observer. IFAC-PapersOnLine, 2016, 49(1): 308–313.
R. Jona, Z. Wanga, C. Luo, et al. Adaptive robust speed control based on recurrent elman neural network for sensorless PMSM servo drives. Neurocomputing, 2017, 227(1): 131–141.
F. Heydari, A. Sheikholeslami, K. G. Firouzjah, et al. A new FOC technique based on predictive current control for PMSM drive. World Journal of Modelling and Simulation, 2008, 5(4): 287–294.
M. Chou, C. Liaw, S. Chien, et al. Robust current and torque controls for PMSM driven satellite reaction wheel. IEEE Transactions on Aerospace and Electronic Systems, 2011, 47(1): 58–74.
S. Li, C. Xia, X. Zhou. Disturbance rejection control method for permanent magnet synchronous motor speed-regulation system. Mechatronics, 2012, 22(6): 706–714.
G. Feng, C. Lai, N. C. Kar. A closed-Loop fuzzy-logic-based current controller for PMSM torque ripple minimization using the magnitude of speed harmonic as the feedback control signal. World Journal of Modelling and Simulation, 2008, 64(4): 2642–2653.
X. Liu, C. Zhang, K. Li, et al. Robust current control-based generalized predictive control with sliding mode disturbance compensation for PMSM drives. World Journal of Modelling and Simulation, 2017, 71(2): 542–552.
B. Sun, Z. Gao. A DSP-based active disturbance rejection control design for a 1-kW H-bridge DC-DC power converter. IEEE Transactions on Industrial Electronics, 2005, 52(5): 1271–1277.
L. Dong, D. Avanesian. Drive-mode control for vibrational MEMS gyroscopes. IEEE Transactions on Industrial Electronics, 2009, 56(4): 956–963.
L. Dong, Y. Zhang, Z. Gao. A robust decentralized load frequency controller for interconnected power systems. ISA Transactions, 2012, 51(3): 410–419.
P. Kandula, L. Dong. Robust voltage control for an electrostatic micro-actuator. ASME Journal of Dynamic Systems, Measurement, and Control, 2017, 140(6): DOI 10.1115/1.4038493.
R. Yang, M. Sun, Z. Chen. Active disturbance rejection control on first-order plant. Journal of Systems Engineering and Electronics, 2011, 2(1): 95–102.
Z. Gao, S. Hu, F. Jiang. A novel motion control design approach based on active disturbance rejection. Proceedings of the 40th IEEE Conference on Decision and Control, Orlando: IEEE, 2001: 4877–4882.
W. Xue, R. Madonski, K. Lakomy. Add-on module of active disturbance rejection for set-point tracking of motion control systems. IEEE Transactions on Industry Applications, 2017, 53(4): 4028–4040.
T. Gang, Z. Gao. Benchmark tests of active disturbance rejection control on an industrial motion control platform. Proceedings of the American Control Conference, St. Louis: IEEE, 2009: 5552–5557.
J. Slotine, W. Li. Applied Nonlinear Control. Upper Saddle River: Prentice Hall, 1991.
F. Giri. AC Electri. Motors Control: Advanced Design Techniques and Applications. New York: John Wiley & Sons, 2013.
Y. Zhao, L. Dong. Robust speed control of a permanent magnet synchronous motor system. Proceedings of the Chinese Control and Decision Conference, Yinchuan: IEEE, 2016: 3271–3276.
Z. Gao. Scaling and bandwidth-parameterization based controller tuning. Proceedings of the American Control Conference, Denver: IEEE, 2003: 4989–4996.
A. A. A. Samat, M. N. Fazli, N. A. Salim, et al. Speed control design of permanent magnet synchronous motor using TakagiSugeno fuzzy logic control. Journal of Electrical Systems, 2017, 13(4): 689–695.
D. Xu, Y. Gao. A simple and robust speed control scheme of permanent magnet synchronous motor. Journal of Control Theory and Applications, 2004, 2(2): 165–168.
C. Lai, G. Feng, K. Mukherjee, et al. Investigations of the influence of PMSM parameter variations in optimal stator current design for torque ripple minimization. IEEE Transactions on Energy Conversion, 2017, 32(3): 1052–1062.
Author information
Authors and Affiliations
Corresponding author
Additional information
Yang ZHAO received his M.Sc. degree in Electrical Engineering from Cleveland State University, Cleveland, OH, U.S.A., in 2013. He is a Ph.D. candidate in the Department of Electrical Engineering and Computer Science at Cleveland State University. He is a student member of IEEE and he served as the President of HKN Honor Society, Epsilon Alpha Chapter, in 2016. His research interests include the robust speed control of permanent magnet synchronous motors, the path-following control of under-actuated ships, and the disturbance rejection control of power systems.
Lili DONG received the Ph. D. degree in Electrical Engineering from the University of Alabama, Tuscaloosa, AL, U.S.A., in 2005. She is an associate professor in the Department of Electrical Engineering and Computer Science at Cleveland State University, Cleveland, OH, U.S.A. She is the chair of IEEE Control Systems Society, Cleveland Chapter. Her current research interests include control systems design and implementations, and control applications to power systems, automobiles, marine ships, and Micro- Electro-Mechanical Systems (MEMS). She is an editor for the Proceedings of American Control Conference and an associate editor of ISA Transactions.
Rights and permissions
About this article
Cite this article
Zhao, Y., Dong, L. Robust current and speed control of a permanent magnet synchronous motor using SMC and ADRC. Control Theory Technol. 17, 190–199 (2019). https://doi.org/10.1007/s11768-019-8084-y
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11768-019-8084-y