Automatic parking trajectory planning in narrow spaces based on Hybrid A* and NMPC

Abstract The rapid acceleration of urbanization and the surge in car ownership necessitate efficient automatic parking solutions in constricted spaces to address the escalating urban parking issue. To optimize space utilization, enhance traffic efficiency, and mitigate accident risks, a method is pr...

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Main Authors: Pei Zhang, SiLong Zhou, Jie Hu, WenLong Zhao, Jiachen Zheng, Zhiling Zhang, Chongzhi Gao
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Scientific Reports
Subjects:
Online Access:https://doi.org/10.1038/s41598-025-85541-x
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author Pei Zhang
SiLong Zhou
Jie Hu
WenLong Zhao
Jiachen Zheng
Zhiling Zhang
Chongzhi Gao
author_facet Pei Zhang
SiLong Zhou
Jie Hu
WenLong Zhao
Jiachen Zheng
Zhiling Zhang
Chongzhi Gao
author_sort Pei Zhang
collection DOAJ
description Abstract The rapid acceleration of urbanization and the surge in car ownership necessitate efficient automatic parking solutions in constricted spaces to address the escalating urban parking issue. To optimize space utilization, enhance traffic efficiency, and mitigate accident risks, a method is proposed for smooth, comfortable, and adaptable automatic parking trajectory planning. This study initially employs a hybrid A* algorithm to generate a preliminary path, then fits the velocity and acceleration based on a cubic polynomial. The kinematic constraints of the vehicle and obstacle avoidance constraints are then meticulously defined, and a coupled nonlinear model predictive control (NMPC) method is employed to optimize the trajectory. Compared to the hybrid A* algorithm, the optimized trajectory demonstrates superior space utilization and improved smoothness. The experimental results indicate that the proposed method performs effectively in automated parking tasks in confined spaces, suggesting promising applications and broad prospects for future.
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institution Kabale University
issn 2045-2322
language English
publishDate 2025-01-01
publisher Nature Portfolio
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series Scientific Reports
spelling doaj-art-19be03bd0ee243dfabac8ea46d002c7d2025-01-12T12:24:08ZengNature PortfolioScientific Reports2045-23222025-01-0115111510.1038/s41598-025-85541-xAutomatic parking trajectory planning in narrow spaces based on Hybrid A* and NMPCPei Zhang0SiLong Zhou1Jie Hu2WenLong Zhao3Jiachen Zheng4Zhiling Zhang5Chongzhi Gao6Hubei Key Laboratory of Modern Auto Parts Technology (Wuhan University of Technology)Hubei Key Laboratory of Modern Auto Parts Technology (Wuhan University of Technology)Hubei Key Laboratory of Modern Auto Parts Technology (Wuhan University of Technology)Hubei Key Laboratory of Modern Auto Parts Technology (Wuhan University of Technology)Hubei Key Laboratory of Modern Auto Parts Technology (Wuhan University of Technology)Hubei Key Laboratory of Modern Auto Parts Technology (Wuhan University of Technology)Commercial Product R&D Institute, Dongfeng Automobile Co., Ltd.Abstract The rapid acceleration of urbanization and the surge in car ownership necessitate efficient automatic parking solutions in constricted spaces to address the escalating urban parking issue. To optimize space utilization, enhance traffic efficiency, and mitigate accident risks, a method is proposed for smooth, comfortable, and adaptable automatic parking trajectory planning. This study initially employs a hybrid A* algorithm to generate a preliminary path, then fits the velocity and acceleration based on a cubic polynomial. The kinematic constraints of the vehicle and obstacle avoidance constraints are then meticulously defined, and a coupled nonlinear model predictive control (NMPC) method is employed to optimize the trajectory. Compared to the hybrid A* algorithm, the optimized trajectory demonstrates superior space utilization and improved smoothness. The experimental results indicate that the proposed method performs effectively in automated parking tasks in confined spaces, suggesting promising applications and broad prospects for future.https://doi.org/10.1038/s41598-025-85541-xAutomatic parkingHybrid A* algorithmCubic polynomialNMPCOptimal controlCollision constraint
spellingShingle Pei Zhang
SiLong Zhou
Jie Hu
WenLong Zhao
Jiachen Zheng
Zhiling Zhang
Chongzhi Gao
Automatic parking trajectory planning in narrow spaces based on Hybrid A* and NMPC
Scientific Reports
Automatic parking
Hybrid A* algorithm
Cubic polynomial
NMPC
Optimal control
Collision constraint
title Automatic parking trajectory planning in narrow spaces based on Hybrid A* and NMPC
title_full Automatic parking trajectory planning in narrow spaces based on Hybrid A* and NMPC
title_fullStr Automatic parking trajectory planning in narrow spaces based on Hybrid A* and NMPC
title_full_unstemmed Automatic parking trajectory planning in narrow spaces based on Hybrid A* and NMPC
title_short Automatic parking trajectory planning in narrow spaces based on Hybrid A* and NMPC
title_sort automatic parking trajectory planning in narrow spaces based on hybrid a and nmpc
topic Automatic parking
Hybrid A* algorithm
Cubic polynomial
NMPC
Optimal control
Collision constraint
url https://doi.org/10.1038/s41598-025-85541-x
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