A Concurrent Switching Model for Traffic Congestion Control

Hossein Rastgoftar, Xun Liu, Jean Baptiste Jeannin

Research output: Chapter in Book/Report/Conference proceedingConference contribution


We introduce a new conservation-based approach for traffic coordination modeling and control in a network of interconnected roads (NOIR) with switching movement phase rotations at every NOIR junction. For modeling of traffic evolution, we first assume that the movement phase rotation is cyclic at every NOIR junction, but the duration of each movement phase can be arbitrarily commanded by traffic signals. Then, we propose a novel concurrent switching dynamics (CSD) with deterministic transitions among a finite number of states, representing the NOIR movement phases. We define the CSD control as a cyclic receding horizon optimization problem with periodic quadratic cost and constraints. More specifically, the cost is defined so that the traffic density is minimized and the boundary inflow is uniformly distributed over the boundary inlet roads, whereas the cost parameters are periodically changed with time. The constraints are linear and imposed by a trapezoidal fundamental diagram at every NOIR road so that traffic feasibility is assured and traffic over-saturation is avoided.

Original languageEnglish (US)
Title of host publicationIFAC-PapersOnLine
EditorsMarcello Canova
PublisherElsevier B.V.
Number of pages6
ISBN (Electronic)9781713872344
StatePublished - Oct 1 2023
Externally publishedYes
Event3rd Modeling, Estimation and Control Conference, MECC 2023 - Lake Tahoe, United States
Duration: Oct 2 2023Oct 5 2023

Publication series

ISSN (Electronic)2405-8963


Conference3rd Modeling, Estimation and Control Conference, MECC 2023
Country/TerritoryUnited States
CityLake Tahoe


  • model predictive control
  • network dynamics
  • Traffic congestion control

ASJC Scopus subject areas

  • Control and Systems Engineering


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