Linear Parameter Varying Identification of Freeway Traffic Models

Luspay, Tamás; Kulcsár, Balázs; Wingerden, Jan‐Willem van; Verhaegen, Michel; Bokor, József

doi:10.1109/tcst.2010.2063705

Cited by 29 publications

(17 citation statements)

References 20 publications

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“…Discretization of the model, known as METANET Papageorgiou et al (1989), is widely used for road traffic control e.g. Hegyi et al (2005), Luspay et al (2011), Luspay et al (2010. Based on Eq.…”

Section: Problem Formulationmentioning

confidence: 99%

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Freeway traffic incident reconstruction – A bi-parameter approach

Dabiri

Kulcsár

2015

Transportation Research Part C: Emerging Technologies

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Section: Problem Formulationmentioning

confidence: 99%

“…Once, nominal model parameters are identified e.g. Cremer and Papageorgiou (1981) and Luspay et al (2011), reconstructed incident parameters capture off-nominal model conditions.…”

Section: Incident Inclusion Into Metanet Modelmentioning

confidence: 99%

Freeway traffic incident reconstruction – A bi-parameter approach

Dabiri

Kulcsár

2015

Transportation Research Part C: Emerging Technologies

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“…Model parameters τ, ν, κ, δ , a, v f , ρ cr can be determined by various methods e.g. [6], [7]. Equation (3) is known as a fundamental relationship, reflecting how the space-mean speed decreases in function of the increasing traffic density.…”

Section: Problem Statementmentioning

confidence: 99%

“…The parameters of eq. (3) can be determined by non-linear fitting to detector measurements (see Section V), [6], [7]. By using the relationship in eq.…”

Section: Problem Statementmentioning

confidence: 99%

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Freeway ramp metering: An LPV set theoretical analysis

Luspay

Kulcsár

Péni

et al. 2011

Proceedings of the 2011 American Control Conference

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The paper contributes to the analysis of freeway traffic flow dynamics by set theoretic methods.First, the macroscopic, non-linear and second-order model of freeway traffic flow dynamics is transformed to an equivalent and quasi Linear Parameter Varying (LPV) representation by steady-state centering and state variable factorization. Second, a polytopic LPV model form is obtained from the quasi model reformulation. The latter polytopic LPV form is then used as a basis for the computation and analysis of disturbance invariant sets. This framework is able to characterize constrained sets of states which can be reached by pure ramp metering control input signals. Furthermore, these sets become invariant to other measured and unmeasured disturbance inputs.The application of disturbance invariant set theory provides an analytical tool for constrained freeway ramp metering describing the set of states being invariant under the system dynamics, measured disturbance and other physical constraints regardless to the value unmeasured disturbance signal.The proposed idea is fully based on the analysis of the (transformed) non-linear macroscopic system and aims at filling the gap between the traffic modeling and quantitative freeway ramp metering.

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Adaptive control and signal processing literature survey (No. 23)

2011

Adaptive Control & Signal

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In order to keep readers up-to-date, the journal will contain a list of recently published journal articles relevant to the fields of adaptive control and signal processing six times a year. This list is compiled from a wide range of journals. Please note that although the list has been broadly categorized these classifications are by no means strict, and are there to assist the reader. Please also note that inclusion in the list is not an endorsement of a paper's quality. If you have any suggestions or comments, please e-mail Erfu Yang at erfu.yang@eee.strath.ac.uk.

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Linear Parameter Varying Identification of Freeway Traffic Models

Cited by 29 publications

References 20 publications

Freeway traffic incident reconstruction – A bi-parameter approach

Freeway traffic incident reconstruction – A bi-parameter approach

Freeway ramp metering: An LPV set theoretical analysis

Adaptive control and signal processing literature survey (No. 23)

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