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Sensorless Control of Permanent Magnet Synchronous Motor Drives with Rotor Position Offset Estimation via Extended State Observer

Postgraduate Program in Engineering Sciences, Dynamics Systems and Control, Tecnologico Nacional de México/IT Tijuana, Blvd. Alberto Limon Padilla s/n, Tijuana 22454, Baja California, Mexico

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Mathematics 2025, 13(6), 899; https://doi.org/10.3390/math13060899

Submission received: 22 January 2025 / Revised: 19 February 2025 / Accepted: 4 March 2025 / Published: 7 March 2025

(This article belongs to the Special Issue Nonlinear Dynamical Systems: Modeling, Control and Applications)

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Abstract

The aim of this study is to develop sensorless high-speed tracking control for surface-mounted permanent magnet synchronous motors by taking the rotor position offset error and time-varying load torque into consideration. This proposal combines an extended state observer with an adaptation position algorithm, employing only the measurement of electrical variables for feedback. First, a rotatory coordinate model of the motor is proposed, wherein the rotor position offset error is considered as a perturbation function within the model. Second, based on the aforementioned model, a rotary coordinate model of the motor is extended in one state to estimate the load torque, as well as the rotor’s position and speed, despite the presence of the rotor position offset error. Through Lyapunov stability analysis, sufficient conditions were established to guarantee that the error estimations were bounded. Finally, to validate the feasibility of the proposed sensorless scheme, experiments were conducted on the Technosoft^® development platform, where the alignment routine was disabled and an intentional misalignment between the magnetic north pole and the stator’s south pole was established.

Keywords: extended state observer; rotor position offset error; sensorless control; surface-mounted permanent magnet synchronous motor

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MDPI and ACS Style

Ramírez-Villalobos, R.; Coria, L.N.; Valle, P.A.; Aldrete-Maldonado, C. Sensorless Control of Permanent Magnet Synchronous Motor Drives with Rotor Position Offset Estimation via Extended State Observer. Mathematics 2025, 13, 899. https://doi.org/10.3390/math13060899

AMA Style

Ramírez-Villalobos R, Coria LN, Valle PA, Aldrete-Maldonado C. Sensorless Control of Permanent Magnet Synchronous Motor Drives with Rotor Position Offset Estimation via Extended State Observer. Mathematics. 2025; 13(6):899. https://doi.org/10.3390/math13060899

Chicago/Turabian Style

Ramírez-Villalobos, Ramón, Luis N. Coria, Paul A. Valle, and Christian Aldrete-Maldonado. 2025. "Sensorless Control of Permanent Magnet Synchronous Motor Drives with Rotor Position Offset Estimation via Extended State Observer" Mathematics 13, no. 6: 899. https://doi.org/10.3390/math13060899

APA Style

Ramírez-Villalobos, R., Coria, L. N., Valle, P. A., & Aldrete-Maldonado, C. (2025). Sensorless Control of Permanent Magnet Synchronous Motor Drives with Rotor Position Offset Estimation via Extended State Observer. Mathematics, 13(6), 899. https://doi.org/10.3390/math13060899

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Sensorless Control of Permanent Magnet Synchronous Motor Drives with Rotor Position Offset Estimation via Extended State Observer

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