扰动全景数据驱动的高速列车运行预测控制方法Panoramic disturbance data-driven model predictive control method for high-speed train operation
王鹏玲,朱鸾民,陈力与,王青元
摘要(Abstract):
针对高速列车运行过程中面临的多源不确定性扰动问题,提出一种基于数据驱动模型预测控制(DDMPC)的速度控制方法。该方法首先通过蒙特卡洛仿真构建多扰动场景下的最优轨迹数据集,并利用混合整数线性规划求解各扰动条件下的能耗最优速度曲线;在此基础上,设计一种基于Hankel矩阵的数据驱动预测模型,结合滚动优化策略,实现对列车速度的实时闭环控制。实验以京张高铁线路与CR450型动车组为对象,在不同扰动强度下进行仿真验证。结果表明,与基于传统模型预测控制以及鲁棒模型预测控制的方法相比,基于DDMPC的速度控制方法在能耗节约、速度跟踪精度和计算效率方面均具有显著优势,尤其在强扰动环境下仍能保持良好的控制鲁棒性与实时性。
关键词(KeyWords): 列车运行控制;数据驱动;模型预测控制;最优速度曲线;能耗优化;鲁棒控制
基金项目(Foundation): 国家自然科学基金(U2368216,52572348);; 上海市科技计划项目(25692108300)
作者(Author): 王鹏玲,朱鸾民,陈力与,王青元
参考文献(References):
- [1] Howlett P,Pudney P,Vu X.Local energy minimization in optimal train control[J].Automatica,2009,45(11):2692-2698.
- [2] Vu X,Albrecht A R,Pudney P J,et al.Energy-efficient train control:From local convexity to global optimization and uniqueness[J].Automatica,2013,49(10):3072-3078.
- [3] 卢启衡,冯晓云,王青元.基于遗传算法的追踪列车节能优化[J].西南交通大学学报,2012(2):96-101.Lu Qiheng,Feng Xiaoyun,Wang Qingyuan.Energy-saving optimization of tracking trains based on genetic algorithm[J].Journal of Southwest Jiaotong University,2012(2):96-101.
- [4] 王青元,冯晓云.列车准点节能运行的控制工况最优切换研究[J].中国铁道科学,2016,37(2):91-98.Wang Qingyuan,Feng Xiaoyun.Optimal control mode switching for punctual and energy-saving train operation[J].China Railway Science,2016,37(2):91-98.
- [5] 黄友能,宫少丰,曹源,等.基于粒子群算法的城轨列车节能驾驶优化模型[J].交通运输工程学报,2016,16(2):118-124.Huang Youneng,Gong Shaofeng,Cao Yuan,et al.Energy-efficient driving optimization model for urban rail train based on particle swarm optimization algorithm[J].Journal of Traffic and Transportation Engineering,2016,16(2):118-124.
- [6] 荀径,杨欣,宁滨,等.列车节能操纵优化求解方法综述[J].铁道学报,2014,36(4):14-20.Xun Jing,Yang Xin,Ning Bin,et al.Review of energy-efficient train control optimization methods[J].Journal of the China Railway Society,2014,36(4):14-20.
- [7] 刘晓宇.基于模型预测控制的高速列车精确停车方法研究[D].北京:北京交通大学,2020.Liu Xiao Yu.Research on high-speed train precise parking method based on model predictive control[D].Beijing:Beijing Jiaotong University,2020.
- [8] Yan X,Cai B,Ning B,et al.Moving horizon optimization of dynamic trajectory planning for high-speed train operation[J].IEEE Transactions on Intelligent Transportation Systems,2016,17(5):1258-1270.
- [9] 宋宗莹,杨迎泽,王兴中,等.改进模型预测控制的列车自组网运行控制[J].科技创新与应用,2025,15 (5):22-26.Song Zongying,Yang Yingze,Wang Xingzhong,et al.Train ad-hoc network operation control based on improved model predictive control [J].Technology Innovation and Application,2025,15 (5):22-26.
- [10] 金文斌,张佳辉,姚柏伶,等.基于事件触发预测控制的高速列车轨迹跟踪[J].机车电传动,2024 (4):148-154.Jin Wenbin,Zhang Jiahui,Yao Bailing,et al.High-speed train trajectory tracking based on event-triggered predictive control [J].Electric Drive for Locomotives,2024 (4):148-154.
- [11] 孙鹏飞,张传鑫,蒋春宏,等.结合迭代学习和模型预测的重载列车运行控制[J].中国铁道科学,2023,44(2):111-119.Sun Pengfei,Zhang Chuanxin,Jiang Chunhong,et al.Heavy-haul train operation control combining iterative learning and model prediction[J].China Railway Science,2023,44(2):111-119.
- [12] Zhou L,Li Z,Cao Y,et al.Predictive sliding mode control for high-speed trains via adaptive extended state observer under input constraints:A model-free scheme[J].IEEE Transactions on Intelligent Transportation Systems,2025:1-18.
- [13] 罗啸林,唐涛,林炳跃,等.一种缩短虚拟编组列车追踪间距的鲁棒模型预测控制方法[J].铁道学报,2023,45(8):68-76.Luo Xiaolin,Tang Tao,Lin Bingyue,et al.A robust model predictive control method for reducing tracking distance of virtually coupled train set[J].Journal of the China Railway Society,2023,45(8):68-76.
- [14] Li Z,Zhong L,Yang H,et al.Distributed cooperative tracking control strategy for virtual coupling trains:An event-triggered model predictive control approach[J].Processes,2023,11(12):3293.
- [15] 李智,钟磊,杨浩,等.虚拟编组列车分布式协同预测控制[J].交通运输工程学报,2024,24(5):362-378.Li Zhi,Zhong Lei,Yang Hao,et al.Distributed cooperative predictive control of virtual coupled trains[J].Journal of Traffic and Transportation Engineering,2024,24(5):362-378.
- [16] 康庄,贾利民,秦勇.基于改进模糊滑模控制的列车速度跟踪研究[J].铁道学报,2024,46(4):97-107.Kang Zhuang,Jia Limin,Qin Yong.Train Speed Tracking Based on Improved Fuzzy Sliding Mode Control[J].Journal of the China Railway Society,2024,46(4):97-107.
- [17] Wang P,Goverde R M P.Multi-train trajectory optimization for energy efficiency and delay recovery on single-track railway lines[J].Transportation Research Part B:Methodological,2017,105:340-361.
- [18] Novak H,Lesic V,Vasak M.Energy-efficient model predictive train traction control with incorporated traction system efficiency[J].IEEE Transactions on Intelligent Transportation Systems,2022,23(6):5044-5055.
- [19] 蔡伯根,孙婧,上官伟.高速列车动态间隔优化的弹性调整策略[J].交通运输工程学报,2019,19(1):147-160.Cai Baigen,Sun Jing,Shangguan Wei.Elastic adjustment strategy for dynamic interval optimization of high-speed trains[J].Journal of Traffic and Transportation Engineering,2019,19(1):147-160.
- [20] Luo X,Wang D,Tang T,et al.A data-driven MPC approach for virtually coupled train set with non-analytic safety distance[J].Transportation Research Part C:Emerging Technologies,2025,174:105087.
- [21] Su S,Zhu Q,Liu J,et al.A data-driven iterative learning approach for optimizing the train control strategy[J].IEEE Transactions on Industrial Informatics,2023,19(7):7885-7893.
- [22] 侯涛,唐丽,牛宏侠.基于数据驱动的高速列车速度复合控制研究[J].交通运输系统工程与信息,2023,23 (3):145-152.Hou Tao,Tang Li,Niu Hongxia.Research on data-driven compound speed control of high-speed trains [J].Journal of Transportation Systems Engineering and Information Technology,2023,23 (3):145-152.
- [23] Shang M,Zhou Y,Fujita H.Deep reinforcement learning with reference system to handle constraints for energy-efficient train control[J].Information Sciences,2021,570:708-721.
- [24] Yin J,Ning C,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.
- [25] 吴卫,阴佳腾,陈照森,等.基于深度强化学习DDDQN的高速列车智能调度调整方法[J].铁道科学与工程学报,2024,21(4):1298-1308.Wu Wei,Yin Jiateng,Chen Zhaosen,et al.Intelligent scheduling adjustment method for high-speed trains based on deep reinforcement learning DDDQN[J].Journal of Railway Science and Engineering,2024,21(4):1298-1308.
- [26] 龚飞杰,上官伟,宋鸿宇,等.基于深度强化学习优化LQR的虚拟重联高速列车间隔控制方法[J].铁道学报,2025,47(11):116-126.Gong Feijie,Shangguan Wei,Song Hongyu,et al.Spacing control for virtually coupled high-speed trains using deep reinforcement learning optimized LQR[J].Journal of the China Railway Society,2025,47(11):116-126.
- [27] 刘通,荀径,宁滨,等.历史数据Q学习的列车节能运行控制方法[C]//2018中国自动化大会(CAC2018)论文集.北京:北京交通大学,2018:336-342.Liu Tong,Xun Jing,Ning Bin,et al.Energy-efficient train operation control method using Q-learning with historical data[C]//Proceedings of the 2018 Chinese Automation Congress (CAC).Beijing:Beijing Jiaotong University,2018:336-342.
- [28] 上官伟,敦旖晨,蔡伯根,等.基于群体合作演化的高速列车编队运行多目标优化[J].铁道学报,2023,45(8):99-109.Shangguan Wei,Dun Yichen,Cai Baigen,et al.Multi-objective optimization of high-speed train formation operation based on group cooperation evolution[J].Journal of the China Railway Society,2023,45(8):99-109.
- [29] 王义惠,朱松巍,刘硕,等.基于速度距离网络的列车运行曲线优化[J].北京交通大学学报,2020,44(2):36-43.Wang Yihui,Zhu Songwei,Liu Shuo,et al.Train operation curve optimization based on speed-distance network[J].Journal of Beijing Jiaotong University,2020,44(2):36-43.