Density and velocity estimation in traffic flow

Authors:	Alvarez-Icaza Luis, Universidad Nacional Autónoma de México, Mexico Rosas-Jaimes Oscar, Universidad Nacional Autónoma de México, Mexico
Topic:	7.4 Transportation Systems
Session:	Transportation Systems II
Keywords:	density estimation in traffic flow, velocity estimation in traffic flow, automated highway systems.

Abstract

An estimation scheme that allows to recover vehicle density and velocity in a stretch of highway is presented. The design is based on a non-linear switching model, inspired by the cell transmission traffic flow model, that has a distinctive behavior for free flow or congested traffic. Lyapunov and linear matrix inequalities techniques are used to prove the stability of the estimation and observer schemes. The algorithm is applied to a set of data traffic collected in a stretch of highway in Pasadena, California, showing good performance.