高速列车递归卡尔曼网络补偿模型预测控制
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华东交通大学电气与自动化工程学院

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面向虚拟编组的高速列车数据驱动协同控制方法研究


Recursive Kalman Network Compensated Model Predictive Control for High-Speed Trains
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    摘要:

    【目的】为实现高速列车安全高效自动驾驶,提出了一种基于递归卡尔曼网络(RKN)的补偿模型预测控制(MPC)算法。【方法】该方法以数据驱动与物理建模结合的RKN进行动力学建模,由双门控循环单元(GRU)直接学习卡尔曼增益与协方差矩阵,实现状态高效精准预测。进一步,设计比例补偿模块(PCM)修正MPC输出,并利用RKN协方差更新自适应调节补偿增益,确保控制量逼近最优。用李雅普诺夫理论证明算法稳定性,并在半实物仿真平台验证。【结论】实验表明:与基于扩展自回归积分滑动平均模型的MPC相比,跟踪性能与舒适性分别提升64%和65.8%;与基于LSTM的MPC相比,分别提升80.4%和42.5%,证实了该算法的优越性。

    Abstract:

    【Objective】To achieve safe and efficient autonomous driving of high-speed trains, this paper proposes a compensated model predictive control (MPC) algorithm based on recursive KalmanNet (RKN).【Method】 The method adopts RKN, which combines data-driven and physical modeling, for dynamics modeling, and employs dual gated recurrent units (GRU) to directly learn the Kalman gain and covariance matrices, enabling efficient and accurate state prediction. Furthermore, a proportional compensation module (PCM) is designed to correct the MPC output, while the RKN covariance update is used to adaptively adjust the compensation gain, ensuring the control input approaches the optimum. The stability of the algorithm is proved via Lyapunov theory, and its effectiveness is validated on a hardware-in-the-loop simulation platform. Experimental results.【Result】show that, compared with MPC based on the extended autoregressive integrated moving average model, tracking performance and comfort improve by 64% and 65.8%, respectively; compared with LSTM-based MPC, the improvements are 80.4% and 42.5%, respectively, confirming the superiority of the proposed algorithm.

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历史
  • 收稿日期:2026-07-13
  • 最后修改日期:2026-09-10
  • 录用日期:2026-09-20
  • 在线发布日期: 2026-09-22
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