{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,2]],"date-time":"2025-03-02T06:11:09Z","timestamp":1740895869871,"version":"3.38.0"},"reference-count":41,"publisher":"SAGE Publications","issue":"1","license":[{"start":{"date-parts":[[2020,2,12]],"date-time":"2020-02-12T00:00:00Z","timestamp":1581465600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51175333"],"award-info":[{"award-number":["51175333"]}],"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":["51875340"],"award-info":[{"award-number":["51875340"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering"],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p> A general predictive controller based on the subspace model identification method is proposed for vehicle stabilization. Traditional predictive controllers are always developed based on the principle model of vehicles, which inevitably suffers from parameter uncertainty and poor adaptability. In contrast to that, the proposed subspace-based general predictive controller is realized by a data-driven process and presents good adaptability in vehicle stability control. Inspired by subspace-based predictor construction, the keys of the predictive controller are as follows: (1) system model identification according to the model structure of the control object by input and output data; (2) output prediction of the system by the identified model; and (3) optimal control law designed by combining the linear\u2013quadratic\u2013Gaussian index with the predictive output. The main problem in the controller development lies in the recursive estimation of relevant matrices, which is limited by the subspace model identification theory. The implementation of the vector autoregressive with exogenous input model and the propagator method in subspace identification algorithm effectively solves the problem of estimation accuracy and calculation efficiency. Combined with a linear\u2013quadratic\u2013Gaussian index function, the predictive law for vehicle stability control is derived in detail. Finally, based on the vehicle model validated by standard road test, the effectiveness and robustness of the predictive controller are proved through the numerical simulations of various maneuvers under different road adhesive conditions. <\/jats:p>","DOI":"10.1177\/0959651819899825","type":"journal-article","created":{"date-parts":[[2020,2,12]],"date-time":"2020-02-12T11:30:19Z","timestamp":1581507019000},"page":"94-116","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":1,"title":["A data-driven predictive controller combined with the vector autoregressive with exogenous input model and the propagator estimation method for vehicle lateral stabilization"],"prefix":"10.1177","volume":"235","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6045-618X","authenticated-orcid":false,"given":"Weishun","family":"Deng","sequence":"first","affiliation":[{"name":"State Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4881-8744","authenticated-orcid":false,"given":"Weimiao","family":"Yang","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai, China"}]},{"given":"Jianwu","family":"Zhang","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7118-1449","authenticated-orcid":false,"given":"Pengpeng","family":"Feng","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4476-6836","authenticated-orcid":false,"given":"Fan","family":"Yu","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai, China"}]}],"member":"179","published-online":{"date-parts":[[2020,2,12]]},"reference":[{"key":"bibr1-0959651819899825","doi-asserted-by":"publisher","DOI":"10.1007\/s12239-010-0042-0"},{"key":"bibr2-0959651819899825","first-page":"1","volume":"43","author":"Di Cairano S","year":"2010","journal-title":"Adv Automot Contr"},{"first-page":"159","volume-title":"Proceedings of the 5th international conference on intelligent human-machine systems and cybernetics (IHMSC)","author":"Zhao W","key":"bibr3-0959651819899825"},{"volume-title":"Vehicle dynamics and control","year":"2011","author":"Rajamani R","key":"bibr4-0959651819899825"},{"key":"bibr5-0959651819899825","doi-asserted-by":"publisher","DOI":"10.1177\/0954407011424098"},{"key":"bibr6-0959651819899825","doi-asserted-by":"publisher","DOI":"10.1016\/j.jprocont.2006.08.003"},{"key":"bibr7-0959651819899825","first-page":"1651","volume":"38","author":"Li S","year":"2010","journal-title":"J Tongji Univ"},{"first-page":"750","volume-title":"Proceedings of the 11th international conference on control automation robotics & vision","author":"Cigler J","key":"bibr8-0959651819899825"},{"key":"bibr9-0959651819899825","first-page":"234","volume":"48","author":"Luo X","year":"2012","journal-title":"Comp Eng Appl"},{"key":"bibr10-0959651819899825","first-page":"252","volume":"44","author":"Su Q","year":"2015","journal-title":"Inform Control"},{"key":"bibr11-0959651819899825","first-page":"439","volume":"41","author":"Zhang L","year":"2012","journal-title":"Inform Control"},{"key":"bibr12-0959651819899825","doi-asserted-by":"publisher","DOI":"10.1109\/TCST.2007.894653"},{"key":"bibr13-0959651819899825","doi-asserted-by":"publisher","DOI":"10.1243\/09596518JSCE394"},{"key":"bibr14-0959651819899825","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(99)00214-9"},{"key":"bibr15-0959651819899825","doi-asserted-by":"publisher","DOI":"10.1080\/00423110802033072"},{"key":"bibr16-0959651819899825","doi-asserted-by":"publisher","DOI":"10.1016\/j.ymssp.2017.12.018"},{"volume-title":"Dynamic modeling, predictive control and performance monitoring. A data-driven subspace approach","year":"2008","author":"Biao H","key":"bibr17-0959651819899825"},{"key":"bibr18-0959651819899825","doi-asserted-by":"publisher","DOI":"10.1093\/bioinformatics\/bti499"},{"first-page":"28","volume-title":"Proceedings of the 7th Mediterranean conference on control and automation","author":"Favoreel W","key":"bibr19-0959651819899825"},{"key":"bibr20-0959651819899825","first-page":"732","volume":"24","author":"Hua Y","year":"2007","journal-title":"Control Theory Appl"},{"key":"bibr21-0959651819899825","doi-asserted-by":"publisher","DOI":"10.1109\/TBME.2018.2828136"},{"key":"bibr22-0959651819899825","doi-asserted-by":"publisher","DOI":"10.1109\/TASE.2015.2411271"},{"key":"bibr23-0959651819899825","doi-asserted-by":"publisher","DOI":"10.1177\/0954407014555878"},{"key":"bibr24-0959651819899825","doi-asserted-by":"publisher","DOI":"10.1109\/97.823526"},{"key":"bibr25-0959651819899825","doi-asserted-by":"publisher","DOI":"10.1155\/2016\/1715762"},{"key":"bibr26-0959651819899825","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2007.09.012"},{"key":"bibr27-0959651819899825","doi-asserted-by":"publisher","DOI":"10.1002\/acs.835"},{"key":"bibr28-0959651819899825","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2006.12.009"},{"key":"bibr29-0959651819899825","doi-asserted-by":"publisher","DOI":"10.1080\/00423114.2013.859281"},{"key":"bibr30-0959651819899825","doi-asserted-by":"publisher","DOI":"10.1080\/00423110701773893"},{"volume-title":"Tire and vehicle dynamics","year":"2005","author":"Pacejka H","key":"bibr31-0959651819899825"},{"key":"bibr32-0959651819899825","doi-asserted-by":"publisher","DOI":"10.1016\/0165-1684(96)00054-0"},{"key":"bibr33-0959651819899825","doi-asserted-by":"publisher","DOI":"10.1177\/1464419317740294"},{"key":"bibr34-0959651819899825","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4613-0465-4"},{"key":"bibr35-0959651819899825","doi-asserted-by":"publisher","DOI":"10.1016\/0005-1098(95)00072-0"},{"key":"bibr36-0959651819899825","doi-asserted-by":"publisher","DOI":"10.1016\/0005-1098(94)90230-5"},{"key":"bibr37-0959651819899825","doi-asserted-by":"publisher","DOI":"10.1016\/S0967-0661(02)00112-0"},{"key":"bibr38-0959651819899825","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.2017.2759900"},{"key":"bibr39-0959651819899825","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2017.03.032"},{"key":"bibr40-0959651819899825","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2017.2749239"},{"key":"bibr41-0959651819899825","doi-asserted-by":"publisher","DOI":"10.1080\/00423110500128984"}],"container-title":["Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/0959651819899825","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.1177\/0959651819899825","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/0959651819899825","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,3,2]],"date-time":"2025-03-02T03:55:30Z","timestamp":1740887730000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.1177\/0959651819899825"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,2,12]]},"references-count":41,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2021,1]]}},"alternative-id":["10.1177\/0959651819899825"],"URL":"https:\/\/doi.org\/10.1177\/0959651819899825","relation":{},"ISSN":["0959-6518","2041-3041"],"issn-type":[{"type":"print","value":"0959-6518"},{"type":"electronic","value":"2041-3041"}],"subject":[],"published":{"date-parts":[[2020,2,12]]}}}