Application of Optimal Control Method to Path Tracking Problem of Vehicle

Path tracking is an essential stage for vehicle safety control. The study proposes an optimal control method for path tracking problem. Firstly, a nonlinear 4-DOF vehicle model is established. Secondly, the path optimization problem of vehicle is transformed into a nonlinear programming problem(NLP)...

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Main Authors: Yingjie Liu, Enhao Wang
Format: Article
Language:English
Published: IEEE 2024-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10802908/
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author Yingjie Liu
Enhao Wang
author_facet Yingjie Liu
Enhao Wang
author_sort Yingjie Liu
collection DOAJ
description Path tracking is an essential stage for vehicle safety control. The study proposes an optimal control method for path tracking problem. Firstly, a nonlinear 4-DOF vehicle model is established. Secondly, the path optimization problem of vehicle is transformed into a nonlinear programming problem(NLP) by discretizing both control variables and state variables using the local collocation method. Then, in order to improve the efficiency of solving the NLP, an efficient calculation method for partial derivatives is established. Finally, a real vehicle test is executed to verify the rationality of the proposed model and methodology. The results show that by decomposing the partial derivative of the NLP into the partial derivative of the original path optimization problem the computational complexity of the first order partial derivative of NLP is significantly reduced improving computational efficiency even more significantly.
format Article
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spelling doaj-art-18eece05f5bc488ea8476c121894d82f2025-08-20T02:34:56ZengIEEEIEEE Access2169-35362024-01-011219217219218310.1109/ACCESS.2024.351508110802908Application of Optimal Control Method to Path Tracking Problem of VehicleYingjie Liu0https://orcid.org/0000-0001-8615-7372Enhao Wang1https://orcid.org/0009-0007-2081-7922School of Machinery and Automation, Weifang University, Weifang, Shandong, ChinaDepartment of Engineering, Durham University, Durham, U.K.Path tracking is an essential stage for vehicle safety control. The study proposes an optimal control method for path tracking problem. Firstly, a nonlinear 4-DOF vehicle model is established. Secondly, the path optimization problem of vehicle is transformed into a nonlinear programming problem(NLP) by discretizing both control variables and state variables using the local collocation method. Then, in order to improve the efficiency of solving the NLP, an efficient calculation method for partial derivatives is established. Finally, a real vehicle test is executed to verify the rationality of the proposed model and methodology. The results show that by decomposing the partial derivative of the NLP into the partial derivative of the original path optimization problem the computational complexity of the first order partial derivative of NLP is significantly reduced improving computational efficiency even more significantly.https://ieeexplore.ieee.org/document/10802908/Vehicle dynamicspath trackingoptimal controlsymplectic pseudospectral method
spellingShingle Yingjie Liu
Enhao Wang
Application of Optimal Control Method to Path Tracking Problem of Vehicle
IEEE Access
Vehicle dynamics
path tracking
optimal control
symplectic pseudospectral method
title Application of Optimal Control Method to Path Tracking Problem of Vehicle
title_full Application of Optimal Control Method to Path Tracking Problem of Vehicle
title_fullStr Application of Optimal Control Method to Path Tracking Problem of Vehicle
title_full_unstemmed Application of Optimal Control Method to Path Tracking Problem of Vehicle
title_short Application of Optimal Control Method to Path Tracking Problem of Vehicle
title_sort application of optimal control method to path tracking problem of vehicle
topic Vehicle dynamics
path tracking
optimal control
symplectic pseudospectral method
url https://ieeexplore.ieee.org/document/10802908/
work_keys_str_mv AT yingjieliu applicationofoptimalcontrolmethodtopathtrackingproblemofvehicle
AT enhaowang applicationofoptimalcontrolmethodtopathtrackingproblemofvehicle