Since 1963
Driving torque for a steer-by-wire system hand wheel actuator based on the reference driving torque from an electric power steering system
1
Faculty of Mechanical Engineering and Computer Science, University of Bielsko-Biała, Bielsko-Biała, Poland
These authors had equal contribution to this work
Submission date: 2025-10-25
Final revision date: 2026-03-27
Acceptance date: 2026-05-04
Online publication date: 2026-06-20
Corresponding author
Marek Bogdan Brykczyński
Faculty of Mechanical Engineering and Computer Science, Department of Combustion Engines and Vehicles, University of Bielsko-Biała, Willowa 2, 43-300, Bielsko-Biała, Poland
Faculty of Mechanical Engineering and Computer Science, Department of Combustion Engines and Vehicles, University of Bielsko-Biała, Willowa 2, 43-300, Bielsko-Biała, Poland
KEYWORDS
TOPICS
ABSTRACT
This paper experimentally determines an electric motor driving torque for a steer-by-wire (SBW) system hand wheel actuator (HWA). An equivalent electric motor driving torque for an SBW system HWA is determined with an objective to mirror the steering wheel angular position trajectory of an electric power steering (EPS) system by iterative examination of steering wheel trajectories of the SBW system HWA obtained for a series of driving torques against those from a reference EPS. The objective function criteria are defined by a maximum value of a mean relative error of the steering wheel angular position.
REFERENCES (35)
1.
Badawy, A., Zuraski, J., Bolourchi, F., & Chandy, A. (1999). Modeling and analysis of an electric power steering system. SAE Technical Papers. https://doi.org/10.4271/1999-0....
2.
Canudas-de-Wit, C., Bechart, H., Claeys, X., Dolcini, P., & Martinez, J.-J. (2005). Fun-to-drive by feedback. European Journal of Control, 11 (4–5), 353—383. https://doi.org/10.1016/s0947-....
3.
Chen, H., Yang, Y., & Zhang, R. (2011). Study on Electric Power Steering system based on ADAMS. Procedia Engineering, 15, 474–478. https://doi.org/10.1016/j.proe....
4.
Ciarla, V., Cahouet, V., Canudas De Wit, C., & Quaine, F. (2012). Genesis of booster curves in Electric Power Assistance Steering systems. In 2012 15th International IEEE Conference on Intelligent Transportation Systems (pp. 1345-1350). IEEE. https://doi.org/10.1109/ITSC.2....
5.
Dilger, E., Ahner, P., Lohner, H., Dominke, P., Cao, C.-T., Nguyen, N.-T., Janetzke, H., Allgeier, T., Pfeiffer, W., Yuan, B., Muller, B., Ries-Mueller, K., Harter, W., Sauer, T., Hess, W., & Blessing, P. (2001). Steer-by-wire steering system for motorized vehicles (U.S. Patent No. 6219604B1). U.S. Patent and Trademark Office. http://www.google.com/patents/....
6.
Dohring, M.E., Lee, E., & Newman, W.S. (1993). A load-dependent transmission friction model: theory and experiments. In [1993] Proceedings IEEE International Conference on Robotics and Automation, Vol. 3 (pp. 430–436). IEEE. https://doi.org/10.1109/robot.....
7.
Dominke, P., Cao, C.-T., Pfeiffer, W., Yuan, B., Leimbach, K.-D., Mueller, B., Harter, W., Blessing, P., Schuele, J., & Lohner, H. (2002). Method for controlling a steer-by-wire system (U.S. Patent No. 6871127B2). U.S. Patent and Trademark Office. https://patents.google.com/pat....
8.
Eickholt, M.A., Golda, F.N., Kern, P.E., Marr, J.L., Otto, J.M., & Stilwell, E.N. (2019). Road wheel actuator assembly (U.S. Patent No. 10322744B2). U.S. Patent and Trademark Office. http://www.google.com/patents/....
9.
Feick, S., Pandit, M., Zimmer, M., & Uhler, R. (2000). Steer-by-wire as a mechatronic implementation. SAE Technical Papers, 109, 1152–1160. https://doi.org/10.4271/2000-0....
10.
Führer, T., & Schedl, A. (1999). The steer-by-wire prototype implementation: Realizing time triggered system design, fail silence behavior and active replication with fault-tolerance support. SAE Technical Papers. https://doi.org/10.4271/1999-0....
11.
Guan, X., Zhang, Y.N., Lu, P.P., Duan, C.G., & Zhan, J. (2024). The control strategy of the electric power steering system for steering feel control. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 238 (2–3), 347–357. https://doi.org/10.1177/095440....
12.
Haas, A., Menze, G., Sieberg, P. M., & Schramm, D. (2023). An objective evaluation approach for safety-relevant steering feedback on a test bench. Vehicles, 5 (4), 1727–1742. https://doi.org/10.3390/vehicl....
13.
Han, Y., He, L., Wang, X., & Zong, C. (2014). Research on torque ratio based on the steering wheel torque characteristic for steer-by-wire system. Journal of Applied Mathematics, 2014(1), Article 929164. https://doi.org/10.1155/2014/9....
14.
Hu, T.-H., Yeh, C.-J., Ho, S.-R., Hsu, T.-H., & Lin, M.-C. (2008). Design of control logic and compensation strategy for electric power steering systems. In 2008 IEEE Vehicle Power and Propulsion Conference (VPPC). IEEE. https://doi.org/10.1109/VPPC.2....
15.
Jang, B., Lee, D., Kim, K., & Kim, K.-S. (2022). Road torque modeling for electric power steering systems. International Journal of Automotive Technology, 23 (3), 765–773. https://doi.org/10.1007/s12239....
16.
Kazemi, R., & Mousavinejad, I. (2011). A Comprehensive model for developing of Steer-By-Wire System. International Journal of Mechanical, Industrial and Aerospace Sciences, 5 (8), 1688-1694. https://scholarly.org/pdf/disp...
17.
Kuranowski, A. (2019). Electrical power steering – modelling and bench testing. Technical Transactions, 8 (116), 143–158. https://doi.org/10.4467/235373....
18.
Li, Q., & He, R. (2005). Modeling and simulation study of the steer by wire system using bond graph. 2005 IEEE International Conference on Vehicular Electronics and Safety (pp. 7–11). IEEE. https://doi.org/10.1109/ICVES.....
19.
Magnus, B.J., Augustine, M.J., & Cole, M.J. (2002). Steer-by wire handwheel actuator (U.S. Patent No. 0189888A1). U.S. Patent and Trademark Office. https://patents.google.com/pat....
20.
Manca, R., Circosta, S., Khan, I., Feraco, S., Luciani, S., Amati, N., Bonfitto, A., & Galluzzi, R. (2021). Performance assessment of an electric power steering system for driverless formula student vehicles. Actuators, 10 (7), Article 165. https://doi.org/10.3390/act100....
21.
Menjak, R., Haupt, J., Card, J.M., & Thomas, S.M. (2004). Hand wheel actuator (U.S. Patent No. 6799654B2). U.S. Patent and Trademark Office. http://www.google.com/patents/....
22.
Mirmohammad Sadeghi, S.H., Sesana, R., & Maffiodo, D. (2017). Friction calculation and simulation of column electric power steering system. International Journal of Mechanical and Mechatronics Engineering, 11 (1), 153–160. https://dx.doi.org/10.5281/zen...
23.
Nguyen, T.A. (2025). Mathematical modeling and characteristics of automotive electric power steering systems: A state–of–the–art literature review. Ain Shams Engineering Journal, 16 (9), Article 103516. https://doi.org/10.1016/j.asej....
24.
Nidec Corporation, Automotive EPS. Retrieved February 7, 2025, from https://www.nidec.com/en/produ....
25.
Perdana, M.A.P., Budiman, A.C., Ristiana, R., Muharam, A., Ismail, K., Kurnia, M.R., Amin, Huda, N., Kaleg, S., & Hapid, A. (2025). Control strategies for steer-by-wire systems: An overview. Technologies, 13 (1), Article 6. https://doi.org/10.3390/techno....
26.
Pfeffer, P.E., Harrer, M., & Johnston, D.N. (2008). Interaction of vehicle and steering system regarding on-centre handling. Vehicle System Dynamics, 46 (5), 413–428. https://doi.org/10.1080/004231....
27.
Polmans, K. (2016). Steer-by-wire steering system with couplable single-wheel steering systems (German Patent No. WO2017198549A1). German Trademark and Patent Office. https://patents.google.com/pat....
28.
Rooney, G.T., & Deravi, P. (1982). Coulomb friction in mechanism sliding joints. Mechanism and Machine Theory, 17 (3), 207–211. https://doi.org/10.1016/0094-1....
29.
Shimizu, Y., & Kawai, T. (1991). Development of electric power steering. SAE Technical Papers. https://doi.org/10.4271/910014.
30.
Tamura, T., Maroonian, A., Higashi, M., & Fuchs, R. (2013). Modeling and simulation for dynamic analysis of column type electric power steering. JTEKT Engineering Journal, 1010 (1010E), 19–25. https://www.jtekt.co.jp/e/engi...
31.
Tavoosi, V., Kazemi, R., & Hosseini, S.M. (2014). Vehicle handling improvement with steer-by-wire system using hardware in the loop method. Journal of Applied Research and Technology, 12 (4), 769–781. https://doi.org/10.1016/S1665-....
32.
Wilhelm, F., Tamura, T., Fuchs, R., & Müllhaupt, P. (2016). Friction compensation control for power steering. IEEE Transactions on Control Systems Technology, 24 (4), 1354–1367. https://doi.org/10.1109/TCST.2....
33.
Yih, P. (2005). Steer-by-wire: Implications for vehicle handling and safety [doctoral dissertation, Stanford University]. Stanford University, Dynamic Design Lab. https://ddl.stanford.edu/publi...
34.
Yih, P., & Gerdes, J. (2004). Steer-by-wire for vehicle state estimation and control. Proceedings of AVEC, 785–790. http://www-cdr.stanford.edu/dy...
35.
Yin, H., Wang, Z., Liu, J., & Liu, P. (2024). Steer-by-wire control algorithm using a dual-layer closed-loop model. Scientific Reports, 14, Article 28536. https://doi.org/10.1038/s41598....
| eISSN: | 2543-6309 |
| ISSN: | 1429-2955 |
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