Set-theoretic analysis of the isolated ramp metering problem
Journal article, 2015

Analysis of ramp metering, as an effective freeway traffic control solution, is focused in the paper. The studied traffic control problem is discussed in a set-theoretic context in order to quantitatively characterize its effectiveness. The notions of maximal robust controlled invariant set, as well as t-step robust controllable set are defined and used for analyzing the ramp metering problem independently of the control policy applied. Algorithms are developed to compute these sets, with special attention to their practical interpretations. Numerical examples with graphical representation of the proposed methodology are given to examine local ramp metering and conclude implications to control strategies.

second-order modeling


linear parameter varying systems

ramp metering


T. Luspay

University of Houston

Hungarian Academy of Sciences

Balázs Adam Kulcsár

Chalmers, Signals and Systems, Systems and control, Automatic Control

T. Péni

University of Houston

International Journal of Robust and Nonlinear Control

1049-8923 (ISSN) 1099-1239 (eISSN)

Vol. 26 6 1246-1266

Areas of Advance


Subject Categories

Transport Systems and Logistics

Control Engineering



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9/6/2018 1