journal article·2026-04-07Open access

A Hierarchical Dynamic Path Planning Framework for Autonomous Vehicles Based on Physics-Informed Potential Field and TD3 Reinforcement Learning

Yan Pan, Yu Wang, Bin Ran

Applied Sciences· Volume 16· Issue 7

Abstract

Autonomous driving in dense traffic demands policies that ensure safety, accurate path tracking, and ride comfort, yet reinforcement learning (RL) alone suffers from low sample efficiency and weak safety guarantees, while classical artificial potential field (APF) methods lack adaptability to dynamic scenarios. This paper proposes PIPF-TD3, which integrates APF theory with the Twin Delayed Deep Deterministic Policy Gradient (TD3) by embedding composite potential values and Doppler-weighted gradients as physics-informed features into the state vector. A Hybrid A* planner generates a reference path encoded as an attractive field; repulsive fields model nearby obstacles using real-time perception data; and a multi-objective reward function jointly optimizes path tracking, collision avoidance, and ride comfort. Experiments in CARLA 0.9.14 across two scenarios—a highway segment with mixed obstacles and a signalized intersection with conflicting turning movements—show that PIPF-TD3 achieves 100% task completion with zero collisions, whereas TD3 without potential field guidance suffers a 90% collision rate. PIPF-TD3 reduces mean cross-track error to 0.12 m (72.1% reduction over the rule-based FSM baseline), maintains 67.0% larger safety clearance, and yields RMS longitudinal and lateral accelerations of 1.12 and 0.75 m/s2, outperforming the FSM by 37.1% and 42.7%. These results confirm that Doppler-weighted physical priors substantially enhance RL-based driving safety and quality in complex traffic conditions.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Autonomous Vehicle Technology and Safety · Robotic Path Planning Algorithms · Traffic control and management

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

School of Transportation, Southeast University, No. 2 SEU Road, Jiangning District, Nanjing 211189, China

References (33)

Show source-provided references
1. Trajectory Planning for Autonomous Cars in Low-Structured and Unstructured Environments: A Systematic Review10.1109/ACCESS.2025.3551453 ↗
2. Arjmandzadeh, Z., Abbasi, M.H., Wang, H., Zhang, J., and Xu, B. (2024). A Lyapunov Optimization-Based Approach to Autonomous Vehicle Local Path Planning. Sensors, 24.10.3390/s24248031 ↗
3. Ma, L., Qu, S., Song, L., Zhang, Z., and Ren, J. (2023). A Physics-Informed Generative Car-Following Model for Connected Autonomous Vehicles. Entropy, 25.10.3390/e25071050 ↗
4. Qiao, Z., Tyree, Z., Mudalige, P., Schneider, J., and Dolan, J.M. (2021). Hierarchical Reinforcement Learning Method for Autonomous Vehicle Behavior Planning. Proceedings of the 2020 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), Las Vegas, NV, USA, 24 October 2020–24 January 2021, IEEE.10.1109/IROS45743.2020.9341496 ↗
5. (2020). Hierarchical Evasive Path Planning Using Reinforcement Learning and Model Predictive Control. IEEE Acess, 8, 187470–187482.. Available online: https://ieeexplore.ieee.org/document/9223644.10.1109/ACCESS.2020.3031037 ↗
6. (2025). A Dual-Layer Hybrid-A* Path Planning Algorithm for Unstructured Environments Based on Phase Windows—PMC. Sensors, 26, Available online: https://pmc.ncbi.nlm.nih.gov/articles/PMC12787423/.
7. (2025). Hierarchical Reinforcement Learning A* for Path Planning. Proceedings of the 2025 IEEE 102nd Vehicular Technology Conference (VTC2025-Fall), Chengdu, China, 19–22 October 2025, IEEE. Available online: https://www.researchgate.net/publication/399521125_Hierarchical_Reinforcement_Learning_A_for_Path_Planning.
8. Tang, Y., Zakaria, M.A., and Younas, M. (2025). Path Planning Trends for Autonomous Mobile Robot Navigation: A Review. Sensors, 25.10.3390/s25041206 ↗
9. Esposto, F., Goos, J., Teerhuis, A., and Alirezaei, M. (2017). Hybrid Path Planning for Non-Holonomic Autonomous Vehicles: An Experimental Evaluation. Proceedings of the 2017 5th IEEE International Conference on Models and Technologies for Intelligent Transportation Systems (MT-ITS), Naples, Italy, 26–28 June 2017, IEEE.10.1109/MTITS.2017.8005682 ↗
10. (2026, March 21). Hybrid Path Planning Algorithm for Autonomous Mobile Robots: A Comprehensive Review. Available online: https://www.mdpi.com/2224-2708/14/5/87.10.3390/jsan14050087 ↗
11. He, X., Chen, D., Zhang, Z., and Bai, Z. (2025). Hybrid DQN-TD3 Reinforcement Learning for Autonomous Navigation in Dynamic Environments. arXiv.
12. Zhou, J., Yin, X., Li, J., and Gong, H. (2025). A Physics-Informed Deep Reinforcement Learning Framework for Obstacle Avoidance and Path Planning of AUV. Proceedings of the 2025 4th International Conference on Artificial Intelligence, Human-Computer Interaction and Robotics (AIHCIR), Ningbo, China, 28–30 November 2025, IEEE.10.1109/AIHCIR67580.2025.11404780 ↗
13. (2024). Research on Autonomous Vehicle Path Planning Algorithm Based on Improved RRT* Algorithm and Artificial Potential Field Method. Sensors, 24, Available online: https://www.mdpi.com/1424-8220/24/12/3899.10.3390/s24123899 ↗
14. (2022). Autonomous Vehicle Path Planning Based on Driver Characteristics Identification and Improved Artificial Potential Field. Actuators, 11, Available online: https://www.mdpi.com/2076-0825/11/2/52.10.3390/act11020052 ↗
15. (2023). (PDF) Anisotropy Safety Potential Field Model Under Intelligent and Connected Vehicle Environment and Its Application in Car-Following Modeling. J. Intell. Connect. Veh., 6, 79–90. Available online: https://www.researchgate.net/publication/370697020_Anisotropy_safety_potential_field_model_under_intelligent_and_connected_vehicle_environment_and_its_application_in_car-following_modeling.10.26599/JICV.2023.9210006 ↗
16. Dynamic Obstacle Avoidance for an Omnidirectional Mobile Robot
17. Adaptive Artificial Potential Field Method for Small Autonomous Vehicles10.1016/j.robot.2026.105364 ↗
18. (2022). The Use of Terrestrial and Maritime Autonomous Vehicles in Nonintrusive Object Inspection—PMC. Sensors, 22, Available online: https://pmc.ncbi.nlm.nih.gov/articles/PMC9611526/.
19. RiskNet: Interaction-Aware Risk Forecasting for Autonomous Driving in Long-Tail Scenarios10.1016/j.tre.2025.104478 ↗
20. (2022). Traffic Risk Environment Impact Analysis and Complexity Assessment of Autonomous Vehicles Based on the Potential Field Method. Int. J. Environ. Res. Public Health, 19, Available online: https://www.mdpi.com/1660-4601/19/16/10337.10.3390/ijerph191610337 ↗
21. Wang, Y., Yang, S., Li, J., Xu, S., and Wang, J. (2023). An Emergency Driving Intervention System Designed for Driver Disability Scenarios Based on Emergency Risk Field. Int. J. Environ. Res. Public Health, 20.10.3390/ijerph20032278 ↗
22. Follow the Leader: A Deep Reinforcement Learning Framework for Safe and Efficient Autonomous Car-Following
23. (2025). Hierarchical Deep Reinforcement Learning-Based Path Planning with Underlying High-Order Control Lyapunov Function—Control Barrier Function—Quadratic Programming Collision Avoidance Path Tracking Control of Lane-Changing Maneuvers for Autonomous Vehicles. Electronics, 14, Available online: https://www.mdpi.com/2079-9292/14/14/2776.10.3390/electronics14142776 ↗
24. Gutiérrez-Moreno, R., Barea, R., López-Guillén, E., Arango, F., Sánchez-García, F., and Bergasa, L.M. (2024). Enhancing Autonomous Driving in Urban Scenarios: A Hybrid Approach with Reinforcement Learning and Classical Control. Sensors, 25.10.20944/preprints202410.1308.v1 ↗
25. (2024). End-to-End Autonomous Driving Decision Method Based on Improved TD3 Algorithm in Complex Scenarios. Sensors, 24, Available online: https://www.mdpi.com/1424-8220/24/15/4962.10.3390/s24154962 ↗
26. Twin Actor Twin Delayed Deep Deterministic Policy Gradient (TATD3) Learning for Batch Process Control10.1016/j.compchemeng.2021.107527 ↗
27. Hickling, T., Hogan, M., Tammam, A., and Aouf, N. (2025). Deep Reinforcement Learning Based Autonomous Decision-Making for Cooperative UAVs: A Search and Rescue Real World Application. arXiv.
28. Jeng, S.-L., and Chiang, C. (2023). End-to-End Autonomous Navigation Based on Deep Reinforcement Learning with a Survival Penalty Function. Sensors, 23.10.3390/s23208651 ↗
29. (2025). Physics-Informed Dynamics Modeling: Accurate Long-Term Prediction of Underwater Vehicles with Hamiltonian Neural ODEs. J. Mar. Sci. Eng., 13, Available online: https://www.mdpi.com/2077-1312/13/11/2091.10.3390/jmse13112091 ↗
30. Khodaparast, M., and Roshanian, J. (2026). On the Design of Reward Function for Reinforcement Learning-Based Path Following Control Using the TD3 Algorithm. J. Intell. Robot. Syst., in press.10.21203/rs.3.rs-8335282/v1 ↗
31. (2025). Evaluating Scenario-Based Decision-Making for Interactive Autonomous Driving Using Rational Criteria: A Survey. IEEE Trans. Intell. Transp. Syst., 27, 1709–1730. Available online: https://ieeexplore.ieee.org/document/11301014.10.1109/TITS.2025.3636070 ↗
32. Park, Y., Jun, W., and Lee, S. (2025). A Comparative Study of Deep Reinforcement Learning Algorithms for Urban Autonomous Driving: Addressing the Geographic and Regulatory Challenges in CARLA. Appl. Sci., 15.10.3390/app15126838 ↗
33. (1997). Mechanical Vibration and Shock—Evaluation of Human Exposure to Whole-body Vibration—Part 1: General Requirements (Standard No. ISO 2631-1:1997).