Abstract
This paper presents a backstepping control method with speed estimation of permanent magnet synchronous motor (PMSM) based on model reference adaptive system (MRAS). First, a comprehensive dynamical model of PMSM in d–q axis and its space state equations are established. Next, using Lyapunov stability theorem, based on the backstepping control theory, the PMSM rotor speed and current backstepping controllers are designed. Furthermore, using Popov stability theory, based on MRAS, the PMSM rotor speed observer is designed. Finally, Matlab/Simulink simulation results show that the backstepping control and speed observer are effective and feasible.
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Yang, Z.J. and Wang, L.N., Online multi-parameter identification for surface-mounted permanent magnet synchronous motors, Trans. China Electrotech. Soc., 2014, vol. 29, no. 3, pp. 111–118.
Zheng, S.Q., Tang, X.Q., Song, B., Lu, S.W., and Ye, B.S., Stable adaptive PI controlfor permanent magnet synchronous motor drive based on improved JITL technique, ISA Trans., 2013, vol. 52, no. 4, pp. 539–549.
Genduso, F., Miccli, R., Rando, C., and Galluzzo, G.R., Back EMF sensorless-control algorithm for highdynamic performance PMSM, IEEE Trans. Ind. Electron., 2010, vol. 57, no. 6, pp. 2092–2100.
Cupertino, F., Giangrande, P., Pellegrino, G., and Luigi, S., End effects in linear tubular motors and compensated position sensorless control based on pulsating voltage injection, IEEE Trans. Ind. Electron., 2011, vol. 58, no. 2, pp. 494–502.
Jung, S.Y. and Nam, K., PMSM control based on edge-field hall sensor signals through ANF-PLL processing, IEEE Trans. Ind. Electron., 2011, vol. 58, no. 11, pp. 5121–5129.
Qi, F., Deng, Z.Q., Qiu, Z.J., and Wang, X.L., A method of sensorless vector control for PMSM, Trans. China Electrotech. Soc., 2007, vol. 22, no. 10, pp. 30–34.
Wang, Q.L., Zhang, X., and Zhang, C.W., Double sliding-mode model reference adaptive system speed identification for vector control of permanent magnet synchronous motors, Proc. CSEE, 2014, vol. 34, no. 6, pp. 897–902.
Lindita, D. and Aida, S., Simulation based analysis of two different control strategies for PMSM, Int. J. Eng. Trends Technol., 2013, vol. 4, no. 4, pp. 596–602.
Pradeep, K., Mandeep, K., and Surender, D., Sensorless Speed Control of PMSM using SVPWM Technique Based on MRAS Method for Various Speed and Load Variations, Lect. Notes Eng. Comput. Sci., 2015, vol. 2217, no. 1, pp. 375–380.
Khlaief, A., Boussak, M., and Chaari, A., A MRAS-based stator resistance and speed estimation for sensorless vector controlled IPMSM drive, Electr. Power Syst. Res., 2013, vol. 108, no. 2014, pp. 1–15.
Karabacak, M. and Eskikurt, H.I., Design, modelling and simulation of a new nonlinear and full adaptive backstepping speed tracking controller for uncertain PMSM, Appl. Math. Modell., 2012, vol. 36, no. 11, pp. 5199–5213.
Hamida, M.A., Glumineau, A., and de Leon, J., Robust integral backstepping control for sensorless IPM synchronous motor controller, J. Franklin Inst., 2012, vol. 349, no. 5, pp. 1734–1757.
Chen, C.X., Xie, Y.X., and Lan, Y.H., Backstepping control of speed sensorless permanent magnet synchronous motor based on slide model observer, Int. J. Autom. Comput., 2015, vol. 12, no. 2, pp. 149–155.
Murat, K.H. and Ibrahim, E., Speed and current regulation of a permanent magnet synchronous motor via nonlinear and adaptive backstepping control, Math. Comput. Modell., 2011, vol. 53, pp. 2015–2030.
Liu, D.L., Zheng, X.H., and Cui, L.L., Backstepping control of speed sensorless permanent magnet synchronous motor, Trans. China Electrotech. Soc., 2011, vol. 26, no. 9, pp. 67–72.
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Liu, X., Zhang, G., Mei, L. et al. Backstepping control with speed estimation of PMSM based on MRAS. Aut. Control Comp. Sci. 50, 116–123 (2016). https://doi.org/10.3103/S0146411616020036
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DOI: https://doi.org/10.3103/S0146411616020036