Stabilization of a POD/Galerkin Reduced Order Payne-Whitham Traffic Model *
Stabilization of a POD/Galerkin Reduced Order Payne-Whitham Traffic Model *
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DOI：
10.23919/acc55779.2023.10155885
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发表时间：
2023-05
期刊：
影响因子：
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通讯作者：
Brian Block;Xiaoling Chen;S. Stockar
中科院分区：
文献类型：
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作者：
Brian Block;Xiaoling Chen;S. Stockar
本文提出了一种生成稳定降阶宏观交通模型的方法。从Payne-Whitham交通模型出发，采用一组双曲偏微分方程、伽辽金投影结合适当的正交分解。为了增强降阶格式的稳定性，本文对已有的两种方法进行了推广。比较了后置镇定方案的性能，结果表明，在适当的校正过程下，稳定模型的预测误差与全阶模型相当。
This paper presents a method for generating stable reduced order macroscopic traffic models. Starting from the Payne-Whitham traffic model, a set of hyperbolic PDEs, Galerkin projection in conjunction with proper orthogonal decomposition is used. To enforce stability of the reduced order scheme, an extension of two methods developed for parabolic PDEs is presented in this paper. The performances of the aposteriori stabilization schemes are compared showing that, with an appropriate calibration process, the stabilized models have comparable prediction errors to the full order models.