Volume 24 Issue 3
Jun.  2024
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Article Contents
ZHANG Miao, HE Yi-juan, YANG Bo-yu, LUO Zheng-wei, LU Wan-li, TANG Tao, LI Kai-cheng, LYU Ji-dong. Trajectory prediction method for high-speed train group tracking operation based on LSTM-KF model[J]. Journal of Traffic and Transportation Engineering, 2024, 24(3): 296-310. doi: 10.19818/j.cnki.1671-1637.2024.03.021
Citation: ZHANG Miao, HE Yi-juan, YANG Bo-yu, LUO Zheng-wei, LU Wan-li, TANG Tao, LI Kai-cheng, LYU Ji-dong. Trajectory prediction method for high-speed train group tracking operation based on LSTM-KF model[J]. Journal of Traffic and Transportation Engineering, 2024, 24(3): 296-310. doi: 10.19818/j.cnki.1671-1637.2024.03.021

Trajectory prediction method for high-speed train group tracking operation based on LSTM-KF model

doi: 10.19818/j.cnki.1671-1637.2024.03.021
Funds:

Science and Technology Research and Development Project of China State Railway Co., Ltd. L2021G003

National Natural Science Foundation of China 52272329

Natural Science Foundation of Beijing L211019

More Information
  • Author Bio:

    ZHANG Miao(1987-), male, associate professor, PhD, 13810162613@163.com

    LYU Ji-dong(1981-), male, professor, PhD, jdlv@bjtu.edu.cn

  • Received Date: 2024-01-20
    Available Online: 2024-07-18
  • Publish Date: 2024-06-30
  • The problem of operation trajectory prediction in high-speed train group tracking was studied to further shorten train tracking distance and improve transportation capacity. The advantages of the long short-term memory (LSTM) model in processing sequence data and the ability of the Kalman filter (KF) model to process noise were considered, and a new LSTM-KF model for train trajectory prediction was proposed. The historical data of train operation were used for LSTM model training, and train trajectory prediction curve was generated. The predicted results and dynamics mechanism were integrated by the KF model to correct the calculation results, smoothing the train trajectory predicted by the LSTM model. The experiment was simulated and verified based on the standard data of lines on the simulation and test platform of the high-speed railway train control system. Simulation results show that the prediction errors of the position relative to the true value of the three models of LSTM-KF, LSTM, and recurrent neural networks (RNN) are 78, 798, and 911 m, respectively after 30 predicted steps under the cruise driving condition. The prediction errors of the speed are 1, 22, and 1 m·s-1, respectively. The position root mean square error (RMSE) of the LSTM-KF is 7% and 15% of that of LSTM and RNN, and the speed RMSE of the LSTM-KF model is 14% and 30% of that of LSTM and RNN. The mean position prediction errors under acceleration condition are 94, 294, and 2 691 m, respectively, and the mean speed prediction errors are 0.09, 10.05, and 2.74 m·s-1, respectively. The mean position prediction errors under deceleration condition are 1 181, 4 135, and 4 079 m, respectively, and the mean speed prediction errors are 1.14, 6.01, and 13.52 m·s-1, respectively. It can be seen that the prediction accuracy under different operating conditions can be significantly improved in the LSTM-KF model, and long-term data sequences can be effectively generated to provide decision-making for the tracking operations of high-speed train groups.

     

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  • [1]
    张淼, 张琦, 张梓轩. 基于Q学习算法的高速铁路列车节能优化研究[J]. 铁道运输与经济, 2019, 41(12): 111-117. https://www.cnki.com.cn/Article/CJFDTOTAL-TDYS201912023.htm

    ZHANG Miao, ZHANG Qi, ZHANG Zi-xuan. A study on energy-saving optimization for high-speed railways train based on Q-learning algorithm[J]. Railway Transport and Economy, 2019, 41(12): 111-117. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-TDYS201912023.htm
    [2]
    宁滨, 莫志松, 李开成. 高速铁路信号系统智能技术应用及发展[J]. 铁道学报, 2019, 41(3): 1-9. https://www.cnki.com.cn/Article/CJFDTOTAL-TDXB201903002.htm

    NING Bin, MO Zhi-song, LI Kai-cheng. Application and development of intelligent technologies for high-speed railway signaling system[J]. Journal of the China Railway Society, 2019, 41(3): 1-9. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-TDXB201903002.htm
    [3]
    张淼, 赵阳, 曲以胜, 等. 青藏铁路移动闭塞列控安全技术方案研究[J]. 铁道运输与经济, 2020, 42(12): 77-82, 88. https://www.cnki.com.cn/Article/CJFDTOTAL-TDYS202012013.htm

    ZHANG Miao, ZHAO Yang, QU Yi-sheng, et al. Safety technology plan of movable block train control system for Qinghai-Tibet Railway[J]. Railway Transport and Economy, 2020, 42(12): 77-82, 88. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-TDYS202012013.htm
    [4]
    FELEZ J, VAQUERO-SERRANO M A. Virtual coupling in railways: a comprehensive review[J]. Machines, 2023, 11(5): 521. doi: 10.3390/machines11050521
    [5]
    FLAMMINI F, MARRONE S, NARDONE R, et al. Towards railway virtual coupling[C]//IEEE. 2018 IEEE International Conference on Electrical Systems for Aircraft, Railway, Ship Propulsion and Road Vehicles and International Transportation Electrification Conference. New York: IEEE, 2018: 8607523.
    [6]
    DI MEO C, DI VAIO M, FLAMMINI F, et al. ERTMS/ETCS virtual coupling: proof of concept and numerical analysis[J]. IEEE Transactions on Intelligent Transportation Systems, 2020, 21(6): 2545-2556. doi: 10.1109/TITS.2019.2920290
    [7]
    ZHAO H, DAI X W, ZHOU P, et al. Distributed robust event-triggered control strategy for multiple high-speed trains with communication delays and input constraints[J]. IEEE Transactions on Control of Network Systems, 2020, 7(3): 1453-1464. doi: 10.1109/TCNS.2020.2979862
    [8]
    HE Y J, LYU J D, ZHANG D Q, et al. Trajectory prediction of urban rail transit based on long short-term memory network[C]//IEEE. 2021 IEEE International Intelligent Transportation Systems Conference. New York: IEEE, 2021: 173112.
    [9]
    YIN J T, NING C H, TANG T. Data-driven models for train control dynamics in high-speed railways: LAG-LSTM for train trajectory prediction[J]. Information Sciences, 2022, 600: 377-400. doi: 10.1016/j.ins.2022.04.004
    [10]
    LIN C F, ULSOY A G, LEBLANC D J. Vehicle dynamics and external disturbance estimation for vehicle path prediction[J]. IEEE Transactions on Control Systems Technology, 2000, 8(3): 508-518. doi: 10.1109/87.845881
    [11]
    DE MIGUEL M Á, ARMINGOL J M, GARCÍA F. Vehicles trajectory prediction using recurrent VAE network[J]. IEEE Access, 2022, 10: 32742-32749. doi: 10.1109/ACCESS.2022.3161661
    [12]
    WANG Y, ZHANG D X, LIU Y, et al. Trajectory forecasting with neural networks: an empirical evaluation and a new hybrid model[J]. IEEE Transactions on Intelligent Transportation Systems, 2020, 21(10): 4400-4409. doi: 10.1109/TITS.2019.2943055
    [13]
    LYTRIVIS P, THOMAIDIS G, AMDITIS A. Cooperative path prediction in vehicular environments[C]//IEEE. 11th International IEEE Conference on Intelligent Transportation Systems. New York: IEEE, 2008: 4732629.
    [14]
    周兵, 赵婳, 吴晓建, 等. 基于外部动态环境的汽车碰撞危险估计算法研究[J]. 汽车工程, 2019, 41(3): 307-312. https://www.cnki.com.cn/Article/CJFDTOTAL-QCGC201903010.htm

    ZHOU Bing, ZHAO Hua, WU Xiao-jian, et al. A study on vehicle collision risk estimation algorithm based on external dynamic environment[J]. Automotive Engineering, 2019, 41(3): 307-312. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-QCGC201903010.htm
    [15]
    TONG Q, HU J Q, CHEN Y L, et al. Long-term trajectory prediction model based on transformer[J]. IEEE Access, 2023, 11: 143695-143703. doi: 10.1109/ACCESS.2023.3343800
    [16]
    REITER R, NURKANOVI AC'G A, BERNARDINI D, et al. A long-short-term mixed-integer formulation for highway lane change planning[J]. IEEE Transactions on Intelligent Vehicles, 2024, DOI: 10.1109/TIV.2024.3398805.
    [17]
    HUANG J, TAN H S. Vehicle future trajectory prediction with a DGPS/INS-based positioning system[C]//IEEE. 2006 American Control Conference. New York: IEEE, 2006: 1657655.
    [18]
    张淼, 张琦, 刘文韬, 等. 一种基于策略梯度强化学习的列车智能控制方法[J]. 铁道学报, 2020, 42(1): 69-75. doi: 10.3969/j.issn.1001-8360.2020.01.010

    ZHANG Miao, ZHANG Qi, LIU Wen-tao, et al. A policy-based reinforcement learning algorithm for intelligent train control[J]. Journal of the China Railway Society, 2020, 42(1): 69-75. (in Chinese) doi: 10.3969/j.issn.1001-8360.2020.01.010
    [19]
    SORSTEDT J, SVENSSON L, SANDBLOM F, et al. A new vehicle motion model for improved predictions and situation assessment[J]. IEEE Transactions on Intelligent Transportation Systems, 2011, 12(4): 1209-1219. doi: 10.1109/TITS.2011.2160342
    [20]
    XU Y, YANG J, DU S Y. CF-LSTM: cascaded feature-based long short-term networks for predicting pedestrian trajectory[C]//AAAI. 34th AAAI Conference on Artificial Intelligence. Washington DC: AAAI, 2020: 12541-12548.
    [21]
    LI R M, ZHONG Z R, CHAI J, et al. Autonomous vehicle trajectory combined prediction model based on CC-LSTM[J]. International Journal of Fuzzy Systems, 2022, 24(8): 3798-3811. doi: 10.1007/s40815-022-01288-x
    [22]
    XING Y, LYU C, CAO D P. Personalized vehicle trajectory prediction based on joint time-series modeling for connected vehicles[J]. IEEE Transactions on Vehicular Technology, 2020, 69(2): 1341-1352. doi: 10.1109/TVT.2019.2960110
    [23]
    KIM B D, KANG C M, KIM J, et al. Probabilistic vehicle trajectory prediction over occupancy grid map via recurrent neural network[C]//IEEE. 20th IEEE International Conference on Intelligent Transportation Systems. New York: IEEE, 2017: 399-404.
    [24]
    DEQUAIRE J, RAO D, ONDRUSKA P, et al. Deep tracking on the move: learning to track the world from a moving vehicle using recurrent neural networks[J]. arXiv. https://doi.org/10.48550/arXiv.1609.09365.
    [25]
    XIE L, WEI Z L, DING D L, et al. Long and short term maneuver trajectory prediction of UCAV based on deep learning[J]. IEEE Access, 2021, 9: 32321-32340. doi: 10.1109/ACCESS.2021.3060783
    [26]
    DEO N, TRIVEDI M M. Multi-modal trajectory prediction of surrounding vehicles with maneuver based LSTMs[C]//IEEE. 2018 IEEE Intelligent Vehicles Symposium. New York: IEEE, 2018: 8500493.
    [27]
    ZHAO Z, CHEN W, WU X, et al. LSTM network: a deep learning approach for short-term traffic forecast[J]. IET Intelligent Transport Systems, 2017, 11(2): 68-75. doi: 10.1049/iet-its.2016.0208
    [28]
    YU Y, SI X S, HU C H, et al. A review of recurrent neural networks: LSTM cells and network architectures[J]. Neural Computation, 2019, 31(7): 1235-1270. doi: 10.1162/neco_a_01199
    [29]
    HIGGINS W T. A comparison of complementary and Kalman filtering[J]. IEEE Transactions on Aerospace and Electronic Systems, 1975, 11(3): 321-325.
    [30]
    ZHAO H, DAI X W, ZHANG Q, et al. Robust event-triggered model predictive control for multiple high-speed trains with switching topologies[J]. IEEE Transactions on Vehicular Technology, 2020, 69(5): 4700-4710. doi: 10.1109/TVT.2020.2974979
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