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Research on Human Driving Characterised Trajectory Planning and Trajectory Tracking Control Based on a Test Track

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Abstract

The trajectory planning plays an important role in realizing the autonomous driving process. The trajectory that reflects the driving habits of human drivers and conforms with people’s driving intuition enables a vehicle to operate smoother and more comfortable when passing through corners, which could improve the acceptability of autonomous vehicles in the market in the future. The research of this paper focuses on planning a human driving characterised trajectory along a road based on the test track that could reflect natural driving behaviour in corners considering the sense of natural and comfortable for the occupants. Firstly, the data collected of the test track are processed and the coordinate system transformation is completed, and the human tested trajectories in the test track is extracted and analysed. Then, the human driving characterised trajectory planning is completed based on optimal control in a lane section on the test track. The trajectory tracking control algorithm based on LQR is designed, and a CarSim/Simulink co-simulation platform is established to track the optimal trajectory generated in a lane and the lane centreline trajectory to verify the superiority of the planned trajectory. The results show that compared with the centreline trajectory, the human driving characterised trajectory planned enables the autonomous vehicle operates smoother and more comfortable, and reflects the characteristic of human drivers to a large extent.

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References

  1. J. Shin, D. Kwak, and K. Kwak, “Model predictive path planning for an autonomous ground vehicle in rough terrain,” International Journal of Control, Automation, and Systems, vol. 19, no. 6, pp. 2224–2237, 2021.

    Article  Google Scholar 

  2. C. You, J. Lu, D. Filev, and P. Tsiotras, “Advanced planning for autonomous vehicles using reinforcement learning and deep inverse reinforcement learning,” Robotics and Autonomous Systems, vol. 114, pp. 1–18, 2019.

    Article  Google Scholar 

  3. B. Paden, M. Čáp, S. Z. Yong, D. Yershov, and E. Frazzoli, “A survey of motion planning and control techniques for self-driving urban vehicles,” IEEE Transactions on Intelligent Vehicles, vol. 1, no. 1, pp. 33–55, 2016.

    Article  Google Scholar 

  4. M. Park and Y. Kang, “Experimental verification of a drift controller for autonomous vehicle tracking: A circular trajectory using LQR method,” International Journal of Control, Automation, and Systems, vol. 19, no. 1, pp. 404–416, 2021.

    Article  Google Scholar 

  5. X. Sun, Y. Cai, S. Wang, X. Xu, and L. Chen, “Optimal control of intelligent vehicle longitudinal dynamics via hybrid model predictive control,” Robotics and Autonomous Systems, vol. 112, pp. 190–200, 2019.

    Article  Google Scholar 

  6. J. Xie, X. Xu, F. Wang, Z. Tang, and L. Chen, “Coordinated control based path following of distributed drive autonomous electric vehicles with yaw-moment control,” Control Engineering Practice, vol. 106, 104659, 2021.

    Article  Google Scholar 

  7. M. Zhu, H. Chen, and G. Xiong, “A model predictive speed tracking control approach for autonomous ground vehicles,” Mechanical Systems and Signal Processing, vol. 87, pp. 138–152, 2017.

    Article  Google Scholar 

  8. J. Choi and K. Kong, “Optimal sensor fusion and position control of a low-price self-driving vehicle in short-term operation conditions,” International Journal of Control, Automation, and Systems, vol. 15, no. 6, pp. 2859–2870, 2017.

    Article  Google Scholar 

  9. E. Alcalá, V. Puig, and J. Quevedo, “LPV-MP planning for autonomous racing vehicles considering obstacles,” Robotics and Autonomous Systems, vol. 124, 103392, 2020.

    Article  Google Scholar 

  10. J.-C. Kim, D.-S. Pae, and M.-T. Lim, “Obstacle avoidance path planning based on output constrained model predictive control,” International Journal of Control, Automation, and Systems, vol. 17, no. 11, pp. 2850–2861, 2019.

    Article  Google Scholar 

  11. M. Parent, F. Harashima, and L. Vlacic, “Intelligent vehicle technologies: Theory and applications,” Ljubo Vlacic, Michel Parent, and Fumio Harashima. Butterworth-Heinemann, pp. 3–19, 2001.

  12. H. I. Kang, B. Lee, and K. Kim, “Path planning algorithm using the particle swarm optimization and the improved Dijkstra algorithm,” Proc. of IEEE Pacific-Asia Workshop on Computational Intelligence and Industrial Application, vol. 2, IEEE, pp. 1002–1004, 2008.

    Google Scholar 

  13. D. González, J. Pérez, V. Milanés, and F. Nashashibi, “A review of motion planning techniques for automated vehicles,” IEEE Transactions on Intelligent Transportation Systems, vol. 17, no. 4, pp. 1135–1145, 2015.

    Article  Google Scholar 

  14. K. Chu, M. Lee, and M. Sunwoo, “Local path planning for off-road autonomous driving with avoidance of static obstacles,” IEEE Transactions on Intelligent Transportation Systems, vol. 13, no. 4, pp. 1599–1616, 2012.

    Article  Google Scholar 

  15. J. J. Kuffner and S. M. LaValle, “RRT-connect: An efficient approach to single-query path planning,” Proc. of ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No. 00CH37065), vol. 2, IEEE, pp. 995–1001, 2000.

    Google Scholar 

  16. S. Karaman and E. Frazzoli, “Sampling-based algorithms for optimal motion planning,” The International Journal of Robotics Research, vol. 30, no. 7, pp. 846–894, 2011.

    Article  MATH  Google Scholar 

  17. S. Karaman, M. R. Walter, A. Perez, E. Frazzoli, and S. Teller, “Anytime motion planning using the RRT,” Proc. of IEEE International Conference on Robotics and Automation, IEEE, pp. 1478–1483, 2011.

  18. L. Huajun, Y. Jingyu, L. Jianfeng, T. Zhenmin, Z. Chunxia, and C. Weiming, “Research on mobile robots motion planning: A survey,” Engineering Science, vol. 1, 2006.

  19. L. Chen, D. Qin, X. Xu, Y. Cai, and J. Xie, “A path and velocity planning method for lane changing collision avoidance of intelligent vehicle based on cubic 3-D Bezier curve,” Advances in Engineering Software, vol. 132, pp. 65–73, 2019.

    Article  Google Scholar 

  20. J. Ziegler, P. Bender, T. Dang, and C. Stiller, “Trajectory planning for Bertha-A local, continuous method,” Proc. of IEEE Intelligent Vehicles Symposium Proceedings, IEEE, pp. 450–457, 2014.

  21. B. Li and Z. Shao, “A unified motion planning method for parking an autonomous vehicle in the presence of irregularly placed obstacles,” Knowledge-based Systems, vol. 86, pp. 11–20, 2015.

    Article  Google Scholar 

  22. J. Nilsson, M. Ali, P. Falcone, and J. Sjöberg, “Predictive manoeuvre generation for automated driving,” Proc. of 16th International IEEE Conference on Intelligent Transportation Systems (ITSC2013), IEEE, pp. 418–423, 2013.

  23. O. Khatib, “Real-time obstacle avoidance for manipulators and mobile robots,” Autonomous Robot Vehicles, Springer, pp. 396–404, 1986.

  24. H.-T. Chiang, N. Malone, K. Lesser, M. Oishi, and L. Tapia, “Path-guided artificial potential fields with stochastic reachable sets for motion planning in highly dynamic environments,” Proc. of IEEE International Conference on Robotics and Automation (ICRA), IEEE, pp. 2347–2354, 2015.

  25. P.-Y. Zhang, T.-S. Lü, and L.-B. Song, “Soccer robot path planning based on the artificial potential field approach with simulated annealing,” Robotica, vol. 22, no. 5, pp. 563–566, 2004.

    Article  Google Scholar 

  26. B. Li, Research on Computational Optimal Control Methods for Automated Vehicle Motion Planning Problems with Complicated Constraints, Ph.D. Dissertation, Zhejiang University, 2018.

  27. M. Sever, N. Zengin, A. Kirli, and M. S. Arslan, “Carsickness-based design and development of a controller for autonomous vehicles to improve the comfort of occupants,” Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, vol. 235, no. 1, pp. 162–176, 2021.

    Google Scholar 

  28. W. Wei, C. Huiyan, M. Jianhao, L. Kai, and G. Jianwei, “Path tracking for intelligent vehicles based on frenet coordinates and delayed control,” Acta Armamentarii, vol. 40, no. 11, 2336, 2019.

    Google Scholar 

  29. V. Cossalter, M. Da Lio, R. Lot, and L. Fabbri, “A general method for the evaluation of vehicle manoeuvrability with special emphasis on motorcycles,” Vehicle System Dynamics, vol. 31, no. 2, pp. 113–135, 1999.

    Article  Google Scholar 

  30. G. Perantoni and D. J. Limebeer, “Optimal control for a formula one car with variable parameters,” Vehicle System Dynamics, vol. 52, no. 5, pp. 653–678, 2014.

    Article  Google Scholar 

  31. T. D. Barfoot and C. M. Clark, “Motion planning for formations of mobile robots,” Robotics and Autonomous Systems, vol. 46, no. 2, pp. 65–78, 2004.

    Article  Google Scholar 

  32. M. A. Patterson and A. V. Rao, “GPOPS-II: A MATLAB software for solving multiple-phase optimal control problems using hp-adaptive Gaussian quadrature collocation methods and sparse nonlinear programming,” ACM Transactions on Mathematical Software (TOMS), vol. 41, no. 1, pp. 1–37, 2014.

    Article  MathSciNet  MATH  Google Scholar 

  33. J. Gong, Y. Jiang, and W. Xu, Model Predictive Control for Self-driving Vehicles, Beijing Institute of Technology Press, Beijing, China, 2014.

    Google Scholar 

  34. L. Chen, X. Li, W. Xiao, P. Li, and Q. Zhou, “Fault-tolerant control for uncertain vehicle active steering systems with time-delay and actuator fault,” International Journal of Control, Automation, and Systems, vol. 17, no. 9, pp. 2234–2241, 2019.

    Article  Google Scholar 

  35. P. Li, A.-T. Nguyen, H. Du, Y. Wang, and H. Zhang, “Polytopic LPV approaches for intelligent automotive systems: State of the art and future challenges,” Mechanical Systems and Signal Processing, vol. 161, 107931, 2021.

    Article  Google Scholar 

  36. X. Xu, Z. Liu, F. Wang, J. Xie, and P. Su, “Trajectory tracking control based on the dual-motor autonomous steering system with time-varying network-induced time delay,” Control Engineering Practice, vol. 116, 104915, 2021.

    Article  Google Scholar 

Download references

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Authors and Affiliations

Authors

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Correspondence to Xing Xu or Ju Xie.

Additional information

Xing Xu received his B.Sc. degree in vehicle engineering, an M.Sc. degree in control theory and control engineering, and a Ph.D. degree in agricultural electrification and automation from Jiangsu University, Zhenjiang, China, in 2002, 2006, and 2010, respectively. He is currently a Professor with the Automotive Engineering Research Institute, Jiangsu University. His research interests include modeling, optimization, fault diagnosis, and control of vehicle dynamic systems.

Xinwei Jiang received his B.Sc. and M.Sc. degrees in vehicle engineering from Jiangsu University, Zhenjiang, China, in 2016 and 2019, respectively. He is currently a Ph.D. candidate with the Automotive Engineering Research Institute, Jiangsu University. His research interests include autonomous driving technology and automotive electronic control.

Ju Xie received his B.Sc. and M.Sc. degrees in vehicle engineering from Jiangsu University, Zhenjiang, China, in 2015 and 2018, respectively. He is currently a Ph.D. candidate with the Automotive Engineering Research Institute, Jiangsu University. His research interests include vehicle dynamics and control, driver behavior modeling, and intelligent control for autonomous vehicles.

Feng Wang received his B.Sc. and Ph.D. degrees from Northwestern Polytechnical University, Xi’an, China, in 2008 and 2014, respectively. He is currently an Associate Professor with the Automotive Engineering Research Institute, Jiangsu University. His research interests include analysis and control of complex electromechanical coupling transmission system and matching, and optimization and coordinated control of hybrid multi-power source coupling transmission system.

Minglei Li received his B.Sc. and M.Sc. degrees in vehicle engineering from Jiangsu University, Zhenjiang, China, in 2018 and 2021, respectively. He is currently an engineer with the Pan Asia Technical Automotive Center. His research interests include autonomous driving technology and automotive path-following control.

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This work was supported by the Primary Research & Development Plan of Jiangsu Province (No. BE2019010) and the the National Natural Science Foundation of China (No. U20A20331).

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Xu, X., Jiang, X., Xie, J. et al. Research on Human Driving Characterised Trajectory Planning and Trajectory Tracking Control Based on a Test Track. Int. J. Control Autom. Syst. 21, 1258–1272 (2023). https://doi.org/10.1007/s12555-021-0785-6

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  • DOI: https://doi.org/10.1007/s12555-021-0785-6

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