Set-theoretic analysis of the isolated ramp metering problem
Artikel i vetenskaplig tidskrift, 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.

ramp metering


second-order modeling

linear parameter varying systems


T. Luspay

Magyar Tudomanyos Akademia

University of Houston

Balázs Adam Kulcsár

Chalmers, Signaler och system, System- och reglerteknik, Reglerteknik

T. Péni

University of Houston

International Journal of Robust and Nonlinear Control

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

Vol. 26 6 1246-1266




Transportteknik och logistik