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**Harvard**

Luspay, T., Kulcsar, B., Peni, T. och Varga, I. (2011) *Freeway ramp metering: an LPV set theoretical analysis*.

** BibTeX **

@conference{

Luspay2011,

author={Luspay, T. and Kulcsar, Balazs and Peni, T. and Varga, I.},

title={Freeway ramp metering: an LPV set theoretical analysis},

booktitle={IEEE American Control Conference, San Francisco, CA, USA, June 29-July 01, 2011},

isbn={978-145770080-4},

pages={733-738},

abstract={The paper contributes to the set theoretic analysis of freeway traffic flow control by ramp metering.
From the generic and discrete time non-linear second-order macroscopic dynamics of freeway, first, an equivalent, quasi Linear Parameter Varying (LPV) representation is derived by steady-state centering and factorization. Second, a polytopic LPV model form is obtained from the quasi reformulation of the non-linear problem statement. The latter polytopic LPV form is then used for the computation and analysis of distur- bance invariant sets. This framework is able to characterize constrained sets of states which can be reached by pure ramp metering control input signal respectively becomes invariant under the effect of other measured and unmeasured inputs.
The application of disturbance invariant set theory clearly quantifies the set of states being invariant under the polytopic LPV dynamics and other physical constraints regardless to the open- and closed-loop nature of the system.
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 modelling and quantitative freeway ramp metering.},

year={2011},

}

** RefWorks **

RT Conference Proceedings

SR Electronic

ID 137026

A1 Luspay, T.

A1 Kulcsar, Balazs

A1 Peni, T.

A1 Varga, I.

T1 Freeway ramp metering: an LPV set theoretical analysis

YR 2011

T2 IEEE American Control Conference, San Francisco, CA, USA, June 29-July 01, 2011

SN 978-145770080-4

SP 733

OP 738

AB The paper contributes to the set theoretic analysis of freeway traffic flow control by ramp metering.
From the generic and discrete time non-linear second-order macroscopic dynamics of freeway, first, an equivalent, quasi Linear Parameter Varying (LPV) representation is derived by steady-state centering and factorization. Second, a polytopic LPV model form is obtained from the quasi reformulation of the non-linear problem statement. The latter polytopic LPV form is then used for the computation and analysis of distur- bance invariant sets. This framework is able to characterize constrained sets of states which can be reached by pure ramp metering control input signal respectively becomes invariant under the effect of other measured and unmeasured inputs.
The application of disturbance invariant set theory clearly quantifies the set of states being invariant under the polytopic LPV dynamics and other physical constraints regardless to the open- and closed-loop nature of the system.
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 modelling and quantitative freeway ramp metering.

LA eng

LK http://publications.lib.chalmers.se/records/fulltext/137026/local_137026.pdf

OL 30