Ramp metering: modeling, simulations and control issues

Cédric Join (1, 2) , Hassane Abouaïssa (3) , Michel Fliess (4, 2)

1 CRAN - Centre de Recherche en Automatique de Nancy
2 AL.I.E.N. - ALgèbre pour Identification & Estimation Numériques
3 LGI2A - Laboratoire de Génie Informatique et d'Automatique de l'Artois
4 LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau]

The aim of ramp metering is to improve the highway traffic conditions by an appropriate regulation of the inflow from the on-ramps to the highway mainstream. Our presentation rests on several improvements: 1) Our simulation techniques do not need contrarily to other approaches any heuristic fundamental law. 2) There is no need of crucial time-varying quantities, like the critical density, which is most difficult to estimate correctly online. 3) Our feedback loop, which is stemming from model-free control, is easy to implement and shows an excellent robustness with respect to model mismatch. Several computer experiments are displayed and discussed.

Mots clés: ramp metering; Lighthill-Whitham-Richards partial differential equation; fundamental diagrams; fundamental laws; ALINEA; model-free control; intelligent proportional controllers

Domaines: Ingénierie de l'environnement; Infrastructures de transport; Systèmes et contrôle [cs.SY]; Automatique; Automatique / Robotique; Optimisation et contrôle [math.OC]

Cédric Join, Hassane Abouaïssa, Michel Fliess. Ramp metering: modeling, simulations and control issues. 3rd Workshop on Delays and Constraints in Distributed parameter systems, DECOD 2021, Nov 2021, Gif-sur-Yvette, France. pp.227-242, ⟨10.1007/978-3-030-94766-8_10⟩. ⟨hal-03410667⟩