{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,21]],"date-time":"2026-05-21T12:20:08Z","timestamp":1779366008624,"version":"3.53.0"},"reference-count":29,"publisher":"MDPI AG","issue":"19","license":[{"start":{"date-parts":[[2022,9,28]],"date-time":"2022-09-28T00:00:00Z","timestamp":1664323200000},"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":["12072050"],"award-info":[{"award-number":["12072050"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12211530029"],"award-info":[{"award-number":["12211530029"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["MSV202216"],"award-info":[{"award-number":["MSV202216"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["2021CDJQY-032"],"award-info":[{"award-number":["2021CDJQY-032"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Research Project of State Key Laboratory of Mechanical System and Vibration","award":["12072050"],"award-info":[{"award-number":["12072050"]}]},{"name":"Research Project of State Key Laboratory of Mechanical System and Vibration","award":["12211530029"],"award-info":[{"award-number":["12211530029"]}]},{"name":"Research Project of State Key Laboratory of Mechanical System and Vibration","award":["MSV202216"],"award-info":[{"award-number":["MSV202216"]}]},{"name":"Research Project of State Key Laboratory of Mechanical System and Vibration","award":["2021CDJQY-032"],"award-info":[{"award-number":["2021CDJQY-032"]}]},{"name":"Fundamental Research Funds for the Central Universities","award":["12072050"],"award-info":[{"award-number":["12072050"]}]},{"name":"Fundamental Research Funds for the Central Universities","award":["12211530029"],"award-info":[{"award-number":["12211530029"]}]},{"name":"Fundamental Research Funds for the Central Universities","award":["MSV202216"],"award-info":[{"award-number":["MSV202216"]}]},{"name":"Fundamental Research Funds for the Central Universities","award":["2021CDJQY-032"],"award-info":[{"award-number":["2021CDJQY-032"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In response to the widespread adoption of vehicle-following systems in autonomous applications, the demand for collision warning to enable safer functionalities is increasing. This study provides an approach for automated vehicle guidance to follow the preceding vehicles longitudinally and puts emphasis on the performance of collision avoidance. The safety distance model is established, which contains a distance compensation algorithm to deal with the special case on curved roads. By introducing the algorithm of velocity and distance prediction, the collision risks are detected and measured in real time. The objective function is established based on optimal control theory to solve the desired following acceleration. The control system designed with the method of proportion integration differentiation combines throttle percentage and brake pressure as outputs to compensate acceleration. In the Carsim and Simulink co-simulation platform, the control system for longitudinal collision avoidance is simulated and analysed for four typical working conditions: the preceding vehicle drives at a constant speed on straight and curved roads, while the preceding vehicle drives at various speeds on straight and curved roads. The results validate the feasibility and effectiveness of the proposed method, which can be used for the longitudinal control of vehicle-following active collision avoidance.<\/jats:p>","DOI":"10.3390\/s22197395","type":"journal-article","created":{"date-parts":[[2022,9,29]],"date-time":"2022-09-29T01:23:16Z","timestamp":1664414596000},"page":"7395","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Longitudinal Predictive Control for Vehicle-Following Collision Avoidance in Autonomous Driving Considering Distance and Acceleration Compensation"],"prefix":"10.3390","volume":"22","author":[{"given":"Shutong","family":"Yin","sequence":"first","affiliation":[{"name":"College of Mechanical and Vehicle Engineering, Chongqing University, Chongqing 400044, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Chunlin","family":"Yang","sequence":"additional","affiliation":[{"name":"College of Mechanical and Vehicle Engineering, Chongqing University, Chongqing 400044, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2325-747X","authenticated-orcid":false,"given":"Ibna","family":"Kawsar","sequence":"additional","affiliation":[{"name":"College of Mechanical and Vehicle Engineering, Chongqing University, Chongqing 400044, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Haifeng","family":"Du","sequence":"additional","affiliation":[{"name":"College of Mechanical and Vehicle Engineering, Chongqing University, Chongqing 400044, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2521-5644","authenticated-orcid":false,"given":"Yongjun","family":"Pan","sequence":"additional","affiliation":[{"name":"College of Mechanical and Vehicle Engineering, Chongqing University, Chongqing 400044, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2022,9,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1109\/TITS.2009.2018321","article-title":"A Study of Driver Behavior Under Potential Threats in Vehicle Traffic","volume":"10","author":"Malta","year":"2009","journal-title":"IEEE Trans. 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