论文标题
使用探测器的动态交通重建
Dynamic Traffic Reconstruction using Probe Vehicles
论文作者
论文摘要
本文讨论了交通流理理论中的观察问题。使用的模型是半连接粘性汉堡方程。此处的测量值不是使用传统的固定传感器来估计流量状态，而是从探测器（PVS）中获得的。然后，我们提出了一个运动动态边界观察者，其边界是由PV的轨迹定义的。本文的主要结果是观察误差的指数收敛，在某些情况下是其有限的时间收敛。最后，数值模拟表明，只要PV的数量足够大，就可以观察到拥挤，自由流和混合方案中的流量。
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.
