Consensus based Approach to the Signal Control of Urban Traffic Networks

AbstractThe 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