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Author:

Zhang, Liguo (Zhang, Liguo.) (Scholars:张利国) | Luan, Haoran (Luan, Haoran.) | Lu, Yusheng (Lu, Yusheng.) | Prieur, Christophe (Prieur, Christophe.)

Indexed by:

EI Scopus SCIE

Abstract:

The boundary feedback control of networks of freeway traffic is considered in this article by means of the partial differential equation (PDE)-based techniques. The control and measurements are all located at the boundaries of each link. We have established the boundary control model for the system, a linear hyperbolic system of balance laws, which includes not only the traffic flow dynamics of the network described by combining the linearized Aw-Rascle-Zhang (ARZ) traffic flow model of each link but also the integrated on-ramping metering and variable speed limit control modeled as the boundary condition. As the traffic demand of the network is fluctuated, the boundary input-to-state stability (ISS) controller is designed to suppress the disturbance and regulate the traffic flow into the boundedness regions of the desired states. Based on a novel Lyapunov function, some sufficient conditions in terms of the matrix inequalities are derived for the ISS boundary stabilization in the L-2-norm. The numerical simulation is given to illustrate the effectiveness of the developed boundary feedback control. Moreover, an interesting traffic experiment is carried out by using the traffic simulation software, AIMSUN, and some specific traffic data are collected and analyzed to verify the feasibility and effectiveness of the boundary control.

Keyword:

Numerical simulation input-to-state stability (ISS) Mathematical model Feedback control AIMSUN Adaptation models traffic flow model Traffic control Numerical models freeway traffic networks boundary feedback control Steady-state

Author Community:

  • [ 1 ] [Zhang, Liguo]Beijing Univ Technol, Fac Informat Technol, Key Lab Computat Intelligence & Intelligent Syst, Beijing 100124, Peoples R China
  • [ 2 ] [Luan, Haoran]Beijing Univ Technol, Fac Informat Technol, Beijing 100124, Peoples R China
  • [ 3 ] [Lu, Yusheng]Beijing Univ Technol, Fac Informat Technol, Beijing 100124, Peoples R China
  • [ 4 ] [Prieur, Christophe]Univ Grenoble Alpes, French Natl Ctr Sci Res, CNRS, Gipsa Lab, F-38000 Grenoble, France

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Source :

IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY

ISSN: 1063-6536

Year: 2021

Issue: 3

Volume: 30

Page: 997-1008

4 . 8 0 0

JCR@2022

ESI Discipline: ENGINEERING;

ESI HC Threshold:87

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 4

SCOPUS Cited Count: 8

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 7

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