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Set‐theoretic analysis of the isolated ramp metering problem
Author(s) -
Luspay T.,
Kulcsár B.,
Péni T.
Publication year - 2015
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3479
Subject(s) - metering mode , representation (politics) , set (abstract data type) , context (archaeology) , computer science , invariant (physics) , control (management) , mathematical optimization , mathematics , engineering , artificial intelligence , mechanical engineering , paleontology , politics , political science , law , mathematical physics , biology , programming language
Summary 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 effectivenes. 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. Copyright © 2015 John Wiley & Sons, Ltd.