{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:57:29Z","timestamp":1760241449286,"version":"build-2065373602"},"reference-count":22,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2018,3,14]],"date-time":"2018-03-14T00:00:00Z","timestamp":1520985600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61673357","61572448"],"award-info":[{"award-number":["61673357","61572448"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Natural Science Foundation of Shandong Province, China","award":["ZR2017QF017"],"award-info":[{"award-number":["ZR2017QF017"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>This paper presents a complete control strategy of the active return-to-center (RTC) control for electric power steering (EPS) systems. We first establish the mathematical model of the EPS system and analyze the source and influence of the self-aligning torque (SAT). Second, based on the feedback signals of steering column torque and steering wheel angle, we give the trigger conditions of a state switch between the steering assist state and the RTC state. In order to avoid the sudden change of the output torque for the driving motor when the state switches frequently between the steering assist state and the RTC state, we design an undisturbed state switching logic algorithm. This state switching logic algorithm ensures that the output value of the RTC controller is set to an initial value and increases in given steps up to a maximum value after entering the RTC state, and the output value of the RTC controller will reduce in given steps down to zero when exiting the RTC state. This therefore ensures smooth switch control between the two states and improves the driver\u2019s steering feeling. Third, we design the RTC controller, which depends upon the feedback signals of the steering wheel angle and the angular velocity. In addition, the controller increases the auxiliary control function of the RTC torque based on vehicle speed. The experimental results show that the active RTC control method does not affect the basic assist characteristics, which effectively reduces the residual angle of the steering wheel at low vehicle speed and improves the RTC performance of the vehicle.<\/jats:p>","DOI":"10.3390\/s18030855","type":"journal-article","created":{"date-parts":[[2018,3,15]],"date-time":"2018-03-15T05:06:43Z","timestamp":1521090403000},"page":"855","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Active Return-to-Center Control Based on Torque and Angle Sensors for Electric Power Steering Systems"],"prefix":"10.3390","volume":"18","author":[{"given":"Pan-Pan","family":"Du","sequence":"first","affiliation":[{"name":"College of Information Science and Engineering, Ocean University of China, Qingdao 266100, China"}]},{"given":"Hao","family":"Su","sequence":"additional","affiliation":[{"name":"College of Information Science and Engineering, Ocean University of China, Qingdao 266100, China"}]},{"given":"Gong-You","family":"Tang","sequence":"additional","affiliation":[{"name":"College of Information Science and Engineering, Ocean University of China, Qingdao 266100, China"}]}],"member":"1968","published-online":{"date-parts":[[2018,3,14]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"763","DOI":"10.1108\/03321641311305737","article-title":"Controller design for an electric power steering system based on LQR techniques","volume":"32","author":"Chitu","year":"2013","journal-title":"COMPEL Int. J. Comput. Math. Electr. Electron. Eng."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"181","DOI":"10.3901\/JME.2009.06.181","article-title":"Electric power steering application based on returnability and handiness","volume":"45","author":"Zhao","year":"2009","journal-title":"J. Mech. Eng."},{"key":"ref_3","first-page":"150","article-title":"Study on initiative return-to-center control of electric power steering system based on steering wheel angle","volume":"30","author":"Shi","year":"2014","journal-title":"For. Eng."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Zhang, Y., and Chen, N. (2010, January 28). Method of Electric Power Steering Based on Return-To-Center Control. Proceedings of the Asia-Pacific Power and Energy Engineering Conference, Chengdu, China.","DOI":"10.1109\/APPEEC.2010.5449076"},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Chen, H., Zhang, L., and Gao, B. (2011, January 13\u201315). Active return control of EPS based on model reference fuzzy adaptive control. Proceedings of the IEEE International Conference on Mechatronics, Istanbul, Turkey.","DOI":"10.1109\/ICMECH.2011.5971280"},{"key":"ref_6","first-page":"85","article-title":"Development of torque controlled active steering using the estimated alignment torque for EPS","volume":"26","author":"Tanaka","year":"2005","journal-title":"Rev. Automot. Eng."},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Kurishige, M., Wada, S., Kifuku, T., Inoue, N., Nishiyama, R., and Otagaki, S. (2000, January 6\u20139). A New EPS Control Strategy to Improve Steering Wheel Returnability. Proceedings of the SAE 2000 World Congress, Detroit, MI, USA.","DOI":"10.4271\/2000-01-0815"},{"key":"ref_8","first-page":"1125","article-title":"A study on the control strategy for wheel return and active damping of electric power steering system","volume":"28","author":"Meng","year":"2006","journal-title":"Automot. Eng."},{"key":"ref_9","first-page":"435","article-title":"Return-to-center control of electric power steering","volume":"3","author":"Yang","year":"2009","journal-title":"Am. Soc. Civ. Eng."},{"key":"ref_10","first-page":"910","article-title":"Returnability control strategy for EPS based on vehicle sideslip angle","volume":"37","author":"Wang","year":"2015","journal-title":"Automot. Eng."},{"key":"ref_11","first-page":"794","article-title":"The aligning moment compensation strategy for EPS based on ESP function allocation","volume":"37","author":"Yang","year":"2015","journal-title":"Automot. Eng."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"292","DOI":"10.4271\/2012-01-0941","article-title":"Study on development of torque and angle sensor for EPS","volume":"5","author":"Yoo","year":"2012","journal-title":"SAE Int. J. Passeng. Cars Electron. Electr. Syst."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1900","DOI":"10.1109\/JSEN.2008.2006452","article-title":"New Automotive Sensors\u2014A Review","volume":"8","author":"Fleming","year":"2008","journal-title":"IEEE Sens. J."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"447","DOI":"10.1016\/S0957-4158(01)00004-6","article-title":"Control logic for an electric power steering system using assist motor","volume":"12","author":"Kim","year":"2002","journal-title":"Mechatronics"},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Hsu, J.Y., Yeh, C.J., Hu, T.H., Hsu, T.H., and Sun, F.H. (2011, January 6\u20139). Development of active steering angle control based on electric power steering systems. Proceedings of the IEEE Vehicle Power and Propulsion Conference, Chicago, IL, USA.","DOI":"10.1109\/VPPC.2011.6042999"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"4379","DOI":"10.1109\/TVT.2015.2473115","article-title":"Torque-overlay-based robust steering wheel angle control of electrical power steering for a lane-keeping system of automated vehicles","volume":"65","author":"Kim","year":"2016","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_17","first-page":"848","article-title":"A return-to-central control strategy for electric power steering system by controlling the angular velocity of steering wheel","volume":"36","author":"Mo","year":"2017","journal-title":"Mech. Sci. Technol. Aerosp. Eng."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"867","DOI":"10.1177\/0954407015596275","article-title":"Design and evaluation of an observer-based disturbance rejection controller for electric power steering systems","volume":"230","author":"Mehrabi","year":"2016","journal-title":"Proc. Inst. Mech. Eng. D J. Automob. Eng."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"762","DOI":"10.1109\/TCST.2014.2325892","article-title":"A new control framework of electric power steering system based on admittance control","volume":"23","author":"Yang","year":"2015","journal-title":"IEEE Trans. Control Syst. Technol."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"748","DOI":"10.1109\/TCST.2017.2679062","article-title":"Controller design of an electric power steering system","volume":"26","author":"Lee","year":"2018","journal-title":"IEEE Trans. Control Syst. Technol."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1354","DOI":"10.1109\/TCST.2015.2483561","article-title":"Friction compensation control for power steering","volume":"24","author":"Wilhelm","year":"2016","journal-title":"IEEE Trans. Control Syst. Technol."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1915","DOI":"10.5370\/JEET.2015.10.4.1915","article-title":"Design and development of a functional safety compliant electric power steering system","volume":"10","author":"Lee","year":"2015","journal-title":"J. Electr. Eng. 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