A study of two onramp metering schemes for congested freeways

Author

Gomes, Gabriel ; Horowitz, Roberto

Author_Institution

Dept. of Mech. Eng., California Univ., Berkeley, CA, USA

Volume

5

fYear

2003

fDate

4-6 June 2003

Firstpage

3756

Abstract

We investigate the stability of a nonlinear (piecewise linear and possibly discontinuous) model of a freeway onramp, controlled by two popular onramp metering schemes: alinea and percent-occupancy. The freeway model is based on Daganzo´s cell-transmission model and can be understood as a hybrid system switching among several discrete-time linear dynamics equations. It is shown, under conditions placed on the upstream mainline demand and on the controller parameters, that both of these controllers are capable of rejecting congestion near the onramp. In addition, we illustrate how the use of downstream measurements allows alinea to robustly drive the freeway to a predetermined uncongested desired state.

Keywords

metering; road traffic; traffic control; Alinea; cell-transmission model; congested freeway; discrete-time linear dynamic equation; hybrid system switching; nonlinear model stability; onramp metering; percent occupancy; Delay effects; Equations; Gain measurement; Mathematical model; Mechanical engineering; Observability; Piecewise linear techniques; Robust control; Stability; Traffic control;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2003. Proceedings of the 2003

ISSN

0743-1619

Print_ISBN

0-7803-7896-2

Type

conf

DOI

10.1109/ACC.2003.1240419

Filename

1240419