Abstract

This paper introduces a new methodology for reconstructing vehicle densities of freeway segments by utilizing the limited data collected by traffic-counting sensors and developing a macroscopic traffic stream model formulated as a switched reduced-order state observer design problem with unknown or partially known inputs. Specifically, the traffic network is modeled as a hybrid dynamic system in a state space that incorporates unknown inputs. For freeway segments with traffic-counting sensors installed, vehicle densities are directly computed using field traffic count data. A reduced-order state observer is designed to analyze traffic state transitions for freeway segments without field traffic count data to indirectly estimate the vehicle densities for each freeway segment. A simulation-based experiment is performed applying the methodology and using data of a segment of Beijing Jingtong freeway in Beijing, China. The model execution results are compared with the field data associated with the same freeway segment, and highly consistent results are achieved. The proposed methodology is expected to be adopted by traffic engineers to evaluate freeway operations and develop effective management strategies.

Highlights

  • The estimation of vehicle densities on highway segments has been of considerable interest in recent decades

  • It should be noted that the above-mentioned state observers were designed based on the ideal traffic flow dynamic model

  • This section introduces the design of the reduced-order unknown-input state observer for the augmented dynamic traffic model of vehicle density estimation

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Summary

Introduction

The estimation of vehicle densities on highway segments has been of considerable interest in recent decades. It should be noted that the above-mentioned state observers were designed based on the ideal traffic flow dynamic model That is, both the system disturbance and the measurement noise were not taken into consideration in the modeling procedure, and all the inputs were treated as measurable signals. It is crucial to explore a more effective way to solve the design challenge of the unknown-input state observer on the basis of the hybrid dynamic traffic network model To this avail, this paper introduces a switched unknown-input state observer to reconstruct vehicle densities of segments of a highway system which maintains field data measurements by using traffic sensors for only a fraction of segments and limited known inputs.

Hybrid Dynamic System
Unknown-Input State Observer
Estimation
Design of the State Observer
Case Study
The directional segment is partitioned into marked
Analysis
Conclusions
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