Compartmental networks approach on urban traffic control

Urban traffic networks play an important role in the modern society. Modeling and control of metropolitan traffic is a complex problem and a lot of research efforts are made towards solving this problem. We consider a macroscopic approach of the traffic and we propose a new solution for modeling and control based on mechanism offered by compartmental networks and positive systems theory. The traffic congestion is avoided by use of a nonlinear compartmental controller. A number of case studies and their results are presented.