Towards a Nonlinear Characterization of a Freeway Network

Vers une caractérisation non linéaire d'un réseau autoroutier

Hassane Abouaïssa (1) , Michel Fliess (2) , Violina Iordanova (3) , Cédric Join (4, 5)

1 LGI2A - Laboratoire de Génie Informatique et d'Automatique de l'Artois
2 LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau]
3 DiRIF - Direction des Routes d'Ile-de-France
4 CRAN - Centre de Recherche en Automatique de Nancy
5 NON-A - Non-Asymptotic estimation for online systems

Recent techniques, which are of algebraic flavor, allow not only to prove the identifiability of parameters, like the free-flow speed and the critical density, which are of utmost importance for the control and the supervision of freeway traffic, but also to estimate them quite efficiently in real time. The significance of our approach for intelligent transportation systems is confirmed by numerous successful computer simulations.

Keywords: numerical differentiation; Freeway traffic flow; macroscopic modeling; May's fundamental diagram; free-flow speed; critical density; identification; estimation; numerical differentiation.

Domains: Automatic; Signal and Image processing; Automatic Control Engineering; Modeling and Simulation; Signal and Image Processing; Optimization and Control [math.OC]

Hassane Abouaïssa, Michel Fliess, Violina Iordanova, Cédric Join. Vers une caractérisation non linéaire d'un réseau autoroutier. 3èmes Journées Identification et Modélisation Expérimentale, JIME'2011, Apr 2011, Douai, France. pp.CDROM. ⟨hal-00572818v2⟩