{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,17]],"date-time":"2026-04-17T16:10:06Z","timestamp":1776442206113,"version":"3.51.2"},"reference-count":31,"publisher":"MDPI AG","issue":"18","license":[{"start":{"date-parts":[[2019,9,4]],"date-time":"2019-09-04T00:00:00Z","timestamp":1567555200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100012166","name":"National Key Research and Development Program of China","doi-asserted-by":"publisher","award":["2016YFB0100901"],"award-info":[{"award-number":["2016YFB0100901"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Shanghai Scientific Research Project","award":["16DZ1100700"],"award-info":[{"award-number":["16DZ1100700"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>The road friction coefficient is a key parameter for autonomous vehicles and vehicle dynamic control. With the development of autonomous vehicles, increasingly, more environmental perception sensors are being installed on vehicles, which means that more information can be used to estimate the road friction coefficient. In this paper, a nonlinear observer aided by vehicle lateral displacement information for estimating the road friction coefficient is proposed. First, the tire brush model is modified to describe the tire characteristics more precisely in high friction conditions using tire test data. Then, on the basis of vehicle dynamics and a kinematic model, a nonlinear observer is designed, and the self-aligning torque of the wheel, lateral acceleration, and vehicle lateral displacement are used to estimate the road friction coefficient during steering. Finally, slalom tests and DLC (Double Line Change) tests in high friction conditions are conducted to verify the proposed estimation algorithm. Test results showed that the proposed method performs well during steering and the estimated road friction coefficient converges to the reference value rapidly.<\/jats:p>","DOI":"10.3390\/s19183816","type":"journal-article","created":{"date-parts":[[2019,9,5]],"date-time":"2019-09-05T03:22:36Z","timestamp":1567653756000},"page":"3816","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":37,"title":["Multi-sensor Fusion Road Friction Coefficient Estimation During Steering with Lyapunov Method"],"prefix":"10.3390","volume":"19","author":[{"given":"Letian","family":"Gao","sequence":"first","affiliation":[{"name":"School of Automotive Studies, Tongji University, Shanghai 201804, China"},{"name":"Clean Energy Automotive Engineering Center, Tongji University, Shanghai 201804, China"}]},{"given":"Lu","family":"Xiong","sequence":"additional","affiliation":[{"name":"School of Automotive Studies, Tongji University, Shanghai 201804, China"},{"name":"Clean Energy Automotive Engineering Center, Tongji University, Shanghai 201804, China"}]},{"given":"Xuefeng","family":"Lin","sequence":"additional","affiliation":[{"name":"School of Automotive Studies, Tongji University, Shanghai 201804, China"},{"name":"Clean Energy Automotive Engineering Center, Tongji University, Shanghai 201804, China"}]},{"given":"Xin","family":"Xia","sequence":"additional","affiliation":[{"name":"School of Automotive Studies, Tongji University, Shanghai 201804, China"},{"name":"Clean Energy Automotive Engineering Center, Tongji University, Shanghai 201804, China"}]},{"given":"Wei","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Automotive Studies, Tongji University, Shanghai 201804, China"},{"name":"Clean Energy Automotive Engineering Center, Tongji University, Shanghai 201804, China"}]},{"given":"Yishi","family":"Lu","sequence":"additional","affiliation":[{"name":"School of Automotive Studies, Tongji University, Shanghai 201804, China"},{"name":"Clean Energy Automotive Engineering Center, Tongji University, Shanghai 201804, China"}]},{"given":"Zhuoping","family":"Yu","sequence":"additional","affiliation":[{"name":"School of Automotive Studies, Tongji University, Shanghai 201804, China"},{"name":"Clean Energy Automotive Engineering Center, Tongji University, Shanghai 201804, China"}]}],"member":"1968","published-online":{"date-parts":[[2019,9,4]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"5754","DOI":"10.1109\/TIE.2017.2774771","article-title":"Fusion Algorithm Design Based on Adaptive SCKF and Integral Correction for Side-Slip Angle Observation","volume":"65","author":"Cheng","year":"2018","journal-title":"IEEE Trans. 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