中国物理B ›› 2025, Vol. 34 ›› Issue (10): 108901-108901.doi: 10.1088/1674-1056/adde34

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Adaptive polynomial approximation-based virtual coupled cooperative control for high-speed trains

Kai-Xiang Wang(王凯祥)1, Ming-Yue Ren(任明月)2, Qian-Ling Wang(王千龄)3, and Xue Lin(林雪)1,†   

  1. 1 College of Automation and Electronic Engineering, Qingdao University of Science and Technology, Qingdao 266061, China;
    2 School of Physics and Electrical Engineering, Liupanshui Normal University, Liupanshui 553004, China;
    3 School of Artificial Intelligence, Hebei University of Technology, Tianjin 300131, China
  • 收稿日期:2025-02-07 修回日期:2025-04-20 接受日期:2025-05-29 发布日期:2025-09-29
  • 通讯作者: Xue Lin E-mail:xlin@qust.edu.cn
  • 基金资助:
    This work is supported in part by the National Natural Science Foundation of China (Grant Nos. 62203246 and 62003127), Shandong Provincial Natural Science Foundation (Grant No. ZR2024QF041), and the Natural Science Foundation of Hebei Province (Grant No. F2023202060).

Adaptive polynomial approximation-based virtual coupled cooperative control for high-speed trains

Kai-Xiang Wang(王凯祥)1, Ming-Yue Ren(任明月)2, Qian-Ling Wang(王千龄)3, and Xue Lin(林雪)1,†   

  1. 1 College of Automation and Electronic Engineering, Qingdao University of Science and Technology, Qingdao 266061, China;
    2 School of Physics and Electrical Engineering, Liupanshui Normal University, Liupanshui 553004, China;
    3 School of Artificial Intelligence, Hebei University of Technology, Tianjin 300131, China
  • Received:2025-02-07 Revised:2025-04-20 Accepted:2025-05-29 Published:2025-09-29
  • Contact: Xue Lin E-mail:xlin@qust.edu.cn
  • Supported by:
    This work is supported in part by the National Natural Science Foundation of China (Grant Nos. 62203246 and 62003127), Shandong Provincial Natural Science Foundation (Grant No. ZR2024QF041), and the Natural Science Foundation of Hebei Province (Grant No. F2023202060).

摘要: Virtual coupling is a novel technology that enables trains to run closely together without physical connections through communication and automation systems. The paper addresses an adaptive polynomial approximation algorithm for the cooperative control of high-speed trains (HSTs) under virtual coupling. It aims to solve the cooperative tracking control problem of HST formation operations under various scenarios, including known and unknown parameters. To enable the HST formation system to achieve cooperative operation while ensuring an appropriate spacing distance, the tracking errors of displacement and speed throughout the entire operation converge to zero. The proposed control strategy focuses on adopting polynomial approximation to handle unknown parameters, which are estimated via adaptive laws. Additionally, the unknown parameters of the HSTs are estimated online through adaptive laws. Experimental results verify the effectiveness of this method.

关键词: high-speed trains (HSTs), cooperative operation, adaptive polynomial approximation, virtual coupling

Abstract: Virtual coupling is a novel technology that enables trains to run closely together without physical connections through communication and automation systems. The paper addresses an adaptive polynomial approximation algorithm for the cooperative control of high-speed trains (HSTs) under virtual coupling. It aims to solve the cooperative tracking control problem of HST formation operations under various scenarios, including known and unknown parameters. To enable the HST formation system to achieve cooperative operation while ensuring an appropriate spacing distance, the tracking errors of displacement and speed throughout the entire operation converge to zero. The proposed control strategy focuses on adopting polynomial approximation to handle unknown parameters, which are estimated via adaptive laws. Additionally, the unknown parameters of the HSTs are estimated online through adaptive laws. Experimental results verify the effectiveness of this method.

Key words: high-speed trains (HSTs), cooperative operation, adaptive polynomial approximation, virtual coupling

中图分类号:  (Transportation)

  • 89.40.-a
07.05.Dz (Control systems) 02.30.Yy (Control theory)