Stability analysis of heterogeneous traffic flow influenced by memory feedback control signal

Abstract

Urban traffic is developing rapidly in the direction of intelligence and networking. In order to further enhance the role of connected vehicles in improving the traffic characteristic of the heterogeneous traffic flow, this paper designs a memory feedback control signal based on the historical traffic information of the vehicle itself, so as to improve the intelligent driver model. Furthermore, the improved homogeneous intelligent driver model is extended to heterogeneous intelligent driver model of heterogeneous traffic flow composed of connected vehicles and regular vehicles, and the stability of heterogeneous traffic flow is discussed. The stability condition of the heterogeneous traffic flow is derived by linear stability analysis method, which shows that the proportion and distribution of connected vehicles and the strength of memory feedback control signal affect the stability of traffic flow to a certain extent. In addition, the results of numerical simulation reveal that the stability of heterogeneous traffic flow is enhanced after considering the memory feedback control signal, no matter in low or high proportion of connected vehicles.