A modified car-following model with variable safety distance and its feedback control research

Abstract

In this study, a modified car-following model is proposed to suppress the traffic jams. The optimal velocity (OV) function is extended by introducing variable safety headway distance. A comprehensive control scheme is constructed according to the feedback control theory. The stability condition for the modified model is obtained and the numerical simulation is carried out to illustrate the advantage of our model with the new control signal, and the results are consistent with the theoretical analysis.