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Robust Boundary Observer for Traffic State Estimation on One Incoming and Two Outgoing Roads

机译：一种传入与两个传出道路交通状态估计的强大边界观察

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摘要

In this paper we design a partial differential equation (PDE) observer for state estimation of a fundamental component of traffic flow network: one incoming road segment and two outgoing road segment connected by a junction. Traffic state estimation refers to acquisition of traffic state information from partially observed traffic data. We propose a PDE model-based observer to estimate traffic density and velocity on the ”Y” shape traffic network from boundary sensing at the nodes including inlet, outlet and middle junction. The macroscopic traffic dynamics on each road segment are governed by Aw-Rascle-Zhang (ARZ) model, consisting of second-order nonlinear PDEs of traffic density and velocity. Using PDE backstepping method, we first construct a boundary observer from a copy of the plant and output injections from boundary measurement errors of the middle junction. The exponential stability of the estimation error system to zero in the L2norm is achieved. For robustness of the observer design, we prove the Input-to-State Stability (ISS) of the estimation error system with respect to in-domain spatially distributed disturbances and measurement noise.
机译：在本文中，我们设计了一个局部微分方程（PDE）观察者，用于交通流量网络的基本分量的状态估计：一个通货路线段和接合点连接的两个传出路段。交通状态估计是指从部分观察到的交通数据获取交通状态信息。我们提出了一种基于PDE模型的观察者，以估计来自包括入口，出口和中间结的节点的边界感测到“Y”形状交通网络上的业务密度和速度。每条道路段的宏观交通动态由AW-Rascle-Zhang（ARZ）模型管理，由交通密度和速度的二阶非线性PDE组成。使用PDE BackStepping方法，我们首先从植物的副本构造边界观察者，从中间结的边界测量误差输出喷射。实现了L2norm中估计误差系统到零的指数稳定性。对于观察者设计的鲁棒性，我们证明了估计误差系统的输入到状态稳定性（ISS）相对于域内的空间分布式干扰和测量噪声。

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