Feedback ramp metering using Godunov method based hybrid model

This paper presents a feedback control design for an isolated freeway ramp that utilizes a hybrid dynamical model for the traffic using Godunov's numerical technique. Feedback ramp metering designs in the past have relied on either discretized linearized method such as ALINEA, or nonlinear feedback designs based on ordinary differential equations for the traffic model. However, lumped parameter models fail to represent the rarefaction wave phenomenon of the distrbuted model. This paper uses Godunov based hybrid lumped model based on which feedback control design is proposed, and simulation results for the model are presented.