论文标题

基于凸优化的节能火车控制的快速分解模型

A fast-solved model for energy-efficient train control based on convex optimization

论文作者

Feng, Minling, Wu, Kunpeng, Lu, Shaofeng

论文摘要

在现代铁路运输中,节能火车控制(EETC)与最佳的火车速度轨迹或控制策略有关,以在各种操作和牵引限制下达到最低能源成本。本文提出了基于凸优化的EETC模型,以便可以通过凸优化算法快速求解该模型。可以通过比较本文提出的方法和其他主流数学编程方法(包括混合智能线性编程(MILP)和Radau pseudospectral方法(RPM),可以验证凸模型的高计算效率和鲁棒性。根据凸优化的特征,该方法在有希望的在线应用程序中,在各种轨道运输的自动火车控制系统中,就其计算效率而言,其相比具有更大的优势。

In modern rail transportation, energy-efficient train control (EETC) is concerned with the optimal train speed trajectory or control strategies to achieve the minimum energy cost under various operation and traction constraints. This paper proposes an EETC model based on convex optimization so that the model can be rapidly solved by convex optimization algorithms. The high computational efficiency and robustness of the convex model can be verified by comparing the results achieved by the method proposed by this paper and other mainstream mathematical programming methods including mixed-integer linear programming (MILP) and Radau pseudospectral method (RPM). Based on the characteristics of convex optimization, the proposed method boasts more significant advantages over its counterparts in terms of computational efficiency in the promising online applications for automatic train control systems of various types of rail transportation.

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