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Set-theoretic analysis of the isolated ramp metering problem

Luspay, T. (author)
University of Houston,Magyar Tudomanyos Akademia,Hungarian Academy of Sciences
Kulcsár, Balázs Adam, 1975 (author)
Chalmers tekniska högskola,Chalmers University of Technology
Péni, T. (author)
University of Houston
 (creator_code:org_t)
2015-11-25
2016
English.
In: International Journal of Robust and Nonlinear Control. - : Wiley. - 1099-1239 .- 1049-8923. ; 26:6, s. 1246-1266
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • Analysis of ramp metering, as an effective freeway traffic control solution, is focused in the paper. Thestudied 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 localramp metering and conclude implications to control strategies.

Subject headings

TEKNIK OCH TEKNOLOGIER  -- Samhällsbyggnadsteknik -- Transportteknik och logistik (hsv//swe)
ENGINEERING AND TECHNOLOGY  -- Civil Engineering -- Transport Systems and Logistics (hsv//eng)
TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)

Keyword

linear parameter varying systems
second-order modeling
set-theory
ramp metering

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