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arXiv 2007.09914math.OCmath.AP
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基于探测车的动态交通重构

Dynamic Traffic Reconstruction using Probe Vehicles

Matthieu Barreau, Anton Selivanov, Karl Henrik Johansson

摘要:

本文讨论交通流理论中的观测问题。所用的模型是半线性粘性Burgers方程。这里的测量结果不是使用传统的固定传感器来估计给定点的交通状态,而是从探测车(PV)获得的。然后,我们提出了一个移动的动态边界观测器,其边界由PV的轨迹定义。本文的主要结果是指数收敛的观测误差,并在某些情况下,其有限时间收敛。最后,数值模拟表明,它是可以观察到的交通在拥挤,自由流,和混合的制度,提供的PV数量是足够大的。

英文摘要:

This article deals with the observation problem in traffic flow theory. The model used is the semilinear viscous Burgers equation. Instead of using the traditional fixed sensors to estimate the state of the traffic at given points, the measurements here are obtained from Probe Vehicles (PVs). We propose then a moving dynamic boundary observer whose boundaries are defined by the trajectories of the PVs. The main result of this article is the exponential convergence of the observation error, and, in some cases, its finite-time convergence. Finally, numerical simulations show that it is possible to observe the traffic in the congested, free-flow, and mixed regimes provided that the number of PVs is large enough.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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