Abstract
This paper proposes a low-complexity, fast sensorless collision detection method for permanent-magnet synchronous motors (PMSMs) based on a forgetting-factor recursive least-squares (FFRLS) estimator. The method estimates the load torque from the motor motion equations and detects collisions by monitoring abrupt changes in a processed load-torque metric. The algorithm is tailored for resource-constrained embedded controllers: it avoids high-order matrix operations and the use of external sensors while achieving rapid detection. Experimental results under constant speed, acceleration, and time-varying load conditions demonstrate fast and repeatable detection performance. The approach provides a practical trade-off between computational cost and detection reliability for embedded motor drives.
Similar content being viewed by others
Data availability
All data generated or analysed during this study are included in this published article and its supplementary information files. A simulation model for strategy verification is also included in the supplementary information files.
References
Tonti, G., Shakourzadeh, S. & Bianco, C. G. L. A fast collision detection system based on an extended state observer. In 2024 20th IEEE/ASME International Conference on Mechatronic and Embedded Systems and Applications (MESA), 1–8 (IEEE, 2024).
De Luca, A. & Mattone, R. Sensorless robot collision detection and hybrid force/motion control. In Proceedings of the 2005 IEEE international conference on robotics and automation, 999–1004 (IEEE, 2005).
Ren, T., Dong, Y., Wu, D. & Chen, K. Collision detection and identification for robot manipulators based on extended state observer. Control Eng. Pract. 79, 144–153 (2018).
Kommuri, S. K., Han, S. & Lee, S. External torque estimation using higher order sliding-mode observer for robot manipulators. IEEE/ASME Trans. Mechatron. 27, 513–523 (2021).
Wu, J., Liao, Z., Han, Y. & Xiong, Z. An integral design for high performance sensor-less collision detection of serial robots. In 2022 IEEE/ASME International Conference on Advanced Intelligent Mechatronics (AIM), 1714–1721 (IEEE, 2022).
Popov, D., Klimchik, A. & Mavridis, N. Collision detection, localization & classification for industrial robots with joint torque sensors. In 2017 26th IEEE international symposium on robot and human interactive communication (RO-MAN), 838–843 (IEEE, 2017).
Ye, X. Research on Control and Collision Detection Technology of Robotic Manipulator Joint Motors. Master’s thesis, Southwest Jiaotong University (2022).
Yuyang, S., Xiao, X. & Wenzhong, X. Sensorless collision detection for robots based on load torque observer. In 2019 22nd International Conference on Electrical Machines and Systems (ICEMS), 1–5 (IEEE, 2019).
Krishnan, R. Permanent Magnet Synchronous and Brushless DC Motor Drives , 1st edn. Chapter 3, Sections 3.1 and 3.6 (CRC Press, 2010).
Brüggemann, S. & Bitmead, R. R. Exponential convergence of recursive least squares with forgetting factor for multiple-output systems. Automatica 124, 109389 (2021).
Funding
This work was supported by the National Natural Science Foundation of China under Grant No. 62173279 (Project: Multi-level Federated/Migration Learning for Fault Diagnosis of Train Bogies on Sichuan-Tibet Railway).
Author information
Authors and Affiliations
Contributions
D.Z. supervised the study; T.R. proposed this strategy, designed the experiments and wrote the manuscript; GK.H. and MY.L. participated in part of the experimental work. All authors reviewed the manuscript.
Corresponding author
Ethics declarations
Competing interests
The authors declare no competing interests.
Additional information
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Supplementary Information
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
About this article
Cite this article
Zhao, D., Ren, T., Huang, G. et al. Fast sensorless collision detection for resource-constrained pmsm controllers using an FFRLS-based method. Sci Rep (2026). https://doi.org/10.1038/s41598-026-43846-5
Received:
Accepted:
Published:
DOI: https://doi.org/10.1038/s41598-026-43846-5


