Article(id=1309639678135989216, tenantId=1146029695717560320, journalId=1189621681917173762, issueId=1309639664567415657, articleNumber=null, orderNo=null, doi=10.19620/j.cnki.1000-3703.20250007, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=null, receivedDateStr=null, revisedDate=1737561600000, revisedDateStr=2025-01-23, acceptedDate=null, acceptedDateStr=null, onlineDate=1790172031196, onlineDateStr=2026-09-23, pubDate=1774281600000, pubDateStr=2026-03-24, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1790172031196, onlineIssueDateStr=2026-09-23, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1790172031196, creator=13701087609, updateTime=1790172031196, updator=13701087609, issue=Issue{id=1309639664567415657, tenantId=1146029695717560320, journalId=1189621681917173762, year='2026', volume='', issue='3', pageStart='1', pageEnd='62', issueExtLink='null', onlineDate='null', pubDate='1774281600000', pubDateStr='2026-03-24', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1790172027961, creator='13701087609', updateTime=1790232938103, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext={EN=IssueExt(id=1309895140290945772, tenantId=1146029695717560320, journalId=1189621681917173762, issueId=1309639664567415657, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1309895140290945773, tenantId=1146029695717560320, journalId=1189621681917173762, issueId=1309639664567415657, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null, downloadFileDto=null}, startPage=18, endPage=27, ext={EN=ArticleExt(id=1309639678345704417, articleId=1309639678135989216, tenantId=1146029695717560320, journalId=1189621681917173762, language=EN, title=Fault-Tolerant Trajectory Tracking Control for Tri-Axial Vehicles Based on Infinite-Horizon MPC, columnId=1309639665217532778, journalTitle=Automobile Technology, columnName=Special Topic on Dynamic Trajectory Prediction, Planning, and Tracking Control Technology of Intelligent Vehicle, runingTitle=null, highlight=null, articleAbstract=

To address the increased fault probability caused by the growing number of actuators in all-wheel-steering vehicles, this study focuses on motion control of a 3×3 all-wheel-steering intelligent vehicle and proposes an infinite-horizon Model Predictive Control (MPC) method that accounts for actuator input delay and faults. The algorithm decomposes the delay-aware optimization into an MPC solved over stages 0~N-1 and an LQR solved over N~ ∞ , and introduces Cholesky decomposition in the MPC stage to compute control inputs, avoiding factorization of large Karush-Kuhn-Tucker (KKT) matrices. Simulation and experimental results show that the proposed control strategy effectively achieves fault-tolerant control when actuator faults occur, while offering higher stability and control accuracy compared to traditional LQR and MPC methods.

, authors=Zhengcai Yang1, Zixuan Yang1, Linhe Ge1, Junwu Zhao2, Huiquan Zhang1, authorsList=Zhengcai Yang, Zixuan Yang, Linhe Ge, Junwu Zhao, Huiquan Zhang, authorCompany=null, correspAuthors=Linhe Ge, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=null, pdfFileSize=null, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1309639678605751266, articleId=1309639678135989216, tenantId=1146029695717560320, journalId=1189621681917173762, language=CN, title=基于无限时域模型预测控制的三轴车辆可容错轨迹跟踪控制, columnId=1309639665360139116, journalTitle=汽车技术, columnName=智能车辆动态轨迹预测、规划与跟踪控制技术专题, runingTitle=null, highlight=null, articleAbstract=

为解决全轮转向车辆因执行机构数量的增多导致故障概率增加的问题,以3×3全轮转向智能车辆的运动控制为研究对象,提出了一种考虑执行器输入延迟和故障的无限时域模型预测控制方法。该算法将考虑执行器输入延时的优化问题拆分为0~N-1阶段的模型预测控制(MPC)求解,以及N~∞阶段的线性二次型调节器(LQR)求解,并在MPC问题中引入楚列斯基(Cholesky)分解以求解控制量,避免了大规模卡罗需-库恩-塔克(KKT)矩阵的分解运算。仿真与试验结果表明:所提出的控制策略在执行机构发生故障时进行了有效的容错控制,同时与传统LQR和MPC相比具有更高的稳定性和控制精度。

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葛林鹤(1990—),博士,研究方向为智能车辆运动控制,。
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基于无限时域模型预测控制的三轴车辆可容错轨迹跟踪控制
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杨正才 1 , 杨子轩 1 , 葛林鹤 1 , 赵俊武 2 , 张慧泉 1
汽车技术 | 智能车辆动态轨迹预测、规划与跟踪控制技术专题 2026,(3): 18-27
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汽车技术 |智能车辆动态轨迹预测、规划与跟踪控制技术专题 2026 , (3) : 18 -27
基于无限时域模型预测控制的三轴车辆可容错轨迹跟踪控制
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杨正才1, 杨子轩1, 葛林鹤1 , 赵俊武2, 张慧泉1
作者信息
  • 1.湖北汽车工业学院汽车动力传动与电子控制湖北省重点实验室,十堰 442002
  • 2.石家庄铁道大学省部共建交通工程结构力学行为与系统安全国家重点实验室,石家庄 050043
通讯作者:
葛林鹤(1990—),博士,研究方向为智能车辆运动控制,。
Fault-Tolerant Trajectory Tracking Control for Tri-Axial Vehicles Based on Infinite-Horizon MPC
Zhengcai Yang1, Zixuan Yang1, Linhe Ge1 , Junwu Zhao2, Huiquan Zhang1
Affiliations
  • 1.Hubei Key Laboratory of Automotive Power Train and Electronic Control, Hubei University of Automotive Technology, Shiyan 442002
  • 2.State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang 050043
出版时间: 2026-03-24 doi: 10.19620/j.cnki.1000-3703.20250007
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为解决全轮转向车辆因执行机构数量的增多导致故障概率增加的问题,以3×3全轮转向智能车辆的运动控制为研究对象,提出了一种考虑执行器输入延迟和故障的无限时域模型预测控制方法。该算法将考虑执行器输入延时的优化问题拆分为0~N-1阶段的模型预测控制(MPC)求解,以及N~∞阶段的线性二次型调节器(LQR)求解,并在MPC问题中引入楚列斯基(Cholesky)分解以求解控制量,避免了大规模卡罗需-库恩-塔克(KKT)矩阵的分解运算。仿真与试验结果表明:所提出的控制策略在执行机构发生故障时进行了有效的容错控制,同时与传统LQR和MPC相比具有更高的稳定性和控制精度。

轨迹跟踪  /  容错控制  /  模型预测控制  /  三轴车辆

To address the increased fault probability caused by the growing number of actuators in all-wheel-steering vehicles, this study focuses on motion control of a 3×3 all-wheel-steering intelligent vehicle and proposes an infinite-horizon Model Predictive Control (MPC) method that accounts for actuator input delay and faults. The algorithm decomposes the delay-aware optimization into an MPC solved over stages 0~N-1 and an LQR solved over N~ ∞ , and introduces Cholesky decomposition in the MPC stage to compute control inputs, avoiding factorization of large Karush-Kuhn-Tucker (KKT) matrices. Simulation and experimental results show that the proposed control strategy effectively achieves fault-tolerant control when actuator faults occur, while offering higher stability and control accuracy compared to traditional LQR and MPC methods.

Trajectory tracking  /  Fault-tolerant control  /  Model Predictive Control (MPC)  /  Triaxial vehicle
杨正才, 杨子轩, 葛林鹤, 赵俊武, 张慧泉. 基于无限时域模型预测控制的三轴车辆可容错轨迹跟踪控制. 汽车技术, 2026 , (3) : 18 -27 . DOI: 10.19620/j.cnki.1000-3703.20250007
Zhengcai Yang, Zixuan Yang, Linhe Ge, Junwu Zhao, Huiquan Zhang. Fault-Tolerant Trajectory Tracking Control for Tri-Axial Vehicles Based on Infinite-Horizon MPC[J]. Automobile Technology, 2026 , (3) : 18 -27 . DOI: 10.19620/j.cnki.1000-3703.20250007
  • 2024年湖北省技术创新计划项目(2024BAB086)
  • 2024年汽车动力传动与电子控制湖北省重点实验室开放基金项目(ZDK1201401)
  • 湖北汽车工业学院博士科研启动基金项目(BK202215)
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doi: 10.19620/j.cnki.1000-3703.20250007
  • 首发时间:2026-09-23
  • 出版时间:2026-03-24
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  • 修回日期:2025-01-23
基金
2024年湖北省技术创新计划项目(2024BAB086)
2024年汽车动力传动与电子控制湖北省重点实验室开放基金项目(ZDK1201401)
湖北汽车工业学院博士科研启动基金项目(BK202215)
作者信息
    1.湖北汽车工业学院汽车动力传动与电子控制湖北省重点实验室,十堰 442002
    2.石家庄铁道大学省部共建交通工程结构力学行为与系统安全国家重点实验室,石家庄 050043

通讯作者:

葛林鹤(1990—),博士,研究方向为智能车辆运动控制,。
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鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
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