Flatness Based Control for Real-Time Dynamic Traffic Routing Problem

Abstract

This paper highlights the interest of differential flatness for real-time Dynamic Traffic Routing ( DTR ) problem. Such problem defined as real-time point diversion of traffic is well adapted to deal with non-recurrent congestion and in the case of major incidents. The suggested control algorithm is based on the system inversion using the concept of flatness, witch do not requires integration of any differential equations. This setting is used then for trajectories generation and tracking of the travel time function. The main objective is to find the time-dependent split variables (considered as a control variable) at the diversion point for routing the incoming traffic flow onto the alternate routes in order to reach a user equilibrium traffic pattern. A simple problem of two alternate routes demonstrates the relevance of the proposed algorithm and provides a way for generalization to more complex network with several alternate routes and multiple sections.