Autonomous decentralized control of traffic signals with closed-loop constraints on offsets

A new method is proposed for controlling a large number of traffic signals, which are represented by nonlinear oscillators, each governed by a reaction-diffusion equation at a node of a graph. The behavior of each signal is determined only by the states of its neighbors, with the system as a whole being also organized globally. In this report, we newly introduce the control of cycle lengths of the signals. The system can achieve high performance in dynamic traffic conditions by controlling cycle lengths of the signals, along with offsets and splits. The simulation results are exemplified to show the validity of the method.