Consensus based approach to the signal control of urban traffic networks

The paper presents a signal control strategy of urban traffic networks (UTNs), under which states of UTNs can realize asymptotic stable consensus. We first propose a simulation model of UTNs, where the topology of road network is represented by a directed dynamic graph, and the transfer of underlying traffic flows is modeled by the cell transmission model (CTM). Furthermore, under some assumptions, we can obtain a signal control model of UTNs, which is a discrete-time linear time-invariant control system, and then design a state-feedback control law, under which the proposed control system can realize asymptotic stable consensus. At last, we illustrate basic ideas of our methods by an example. (C) 2013 The Authors. Published by Elsevier Ltd.