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Research on Parallel Parking Using Fifth-Degree Polynomial Planning and Fuzzy LQR Control
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Chengtao ZHANG, Ruimin WANG, Fang ZHANG, Xiaozhuo ZHAO, Yuanpeng LUO, Junhong LI
Chinese Journal of Automotive Engineering | 2025, 15(2) : 211 - 223
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Chinese Journal of Automotive Engineering | 2025, 15(2): 211-223
System Dynamics Section
Research on Parallel Parking Using Fifth-Degree Polynomial Planning and Fuzzy LQR Control
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Chengtao ZHANG, Ruimin WANG, Fang ZHANG, Xiaozhuo ZHAO, Yuanpeng LUO, Junhong LI
Affiliations
  • School of Mechanical and Automotive Engineering,Guangxi University of Science and Technology,Liuzhou 545616,Guangxi,China
Published: 2025-03-20 doi: 10.3969/j.issn.2095‒1469.2025.02.09
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To address the issue of discontinuous curvature in autonomous parking path planning, this paper analyzes vehicle kinematics, and combines the arc-line-arc planning method with the reverse parking process. A fifth-degree polynomial optimization approach is employed to generate a compact parking trajectory with continuous curvature. To enhance parking tracking accuracy, the discrete LQR tracking controller based on the kinematic model is improved using fuzzy control methods. Simulations and experimental validations are conducted to verify the effectiveness of the algorithm. In the Simulink/CarSim co-simulation, the maximum tracking error is 0.027 m, and the average tracking error is 0.013 m. In real-vehicle experiments, the maximum tracking error is 0.07 m, and the average tracking error is 0.029 m. Compared to the LQR tracking controller, the FUZZY-LQR tracking controller reduces the average tracking error by 33%, improving the autonomous parking path tracking performance.

autonomous parking  /  path planning  /  fifth-degree polynomial optimization  /  fuzzy control  /  LQR
Chengtao ZHANG, Ruimin WANG, Fang ZHANG, Xiaozhuo ZHAO, Yuanpeng LUO, Junhong LI. Research on Parallel Parking Using Fifth-Degree Polynomial Planning and Fuzzy LQR Control[J]. Chinese Journal of Automotive Engineering, 2025 , 15 (2) : 211 -223 . DOI: 10.3969/j.issn.2095‒1469.2025.02.09
Year 2025 volume 15 Issue 2
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Article Info
doi: 10.3969/j.issn.2095‒1469.2025.02.09
  • Receive Date:2024-02-05
  • Online Date:2025-07-20
  • Published:2025-03-20
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  • Received:2024-02-05
  • Revised:2024-03-31
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    School of Mechanical and Automotive Engineering,Guangxi University of Science and Technology,Liuzhou 545616,Guangxi,China
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表12种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
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种数
Number of
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Percentage of total
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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
栓菌属 Trametes 5 2.39
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