Coupled map car-following model and its delayed-feedback control

Abstract

This paper proposes a coupled map car-following traffic model, which describes a dynamical behavior of a group of road vehicles running in a single lane without overtaking. This model consists of a lead vehicle and following vehicles, which have a piecewise linear optimal velocity function. When the lead-vehicle speed is varied, we can observe a traffic jam in the group of the vehicles. We derive a condition under which the traffic jam never occurs in our model. Furthermore, in order to suppress the traffic jam, for each vehicle we use a dynamic version of decentralized delayed-feedback control proposed in [Konishi, Hirai, and Kokame, Phys. Rev. E 58, 3055 (1998)], and provide a systematic procedure for designing the controller.

Controlling traffic jams by time modulating the safety distance

“…Quite recently studies appeared on traffic flows with vehicles that possess a control system trying to keep a desired headway: vehicles with adaptive cruise control (ACC) [22][23][24][25][26]. Several microscopic models have been proposed to model the ACC vehicles [22,27,28]. It was shown in Ref.…”

Cooperative flow dynamics in production lines with buffer level dependent production rates

“…(33) and (36) together with lengthy algebra, the no-jamming condition (37) can be rewritten as (see also, [13]):…”

An improved car-following model considering variable safety headway distance

“…According to stability analysis method [15][16][17] , the stable condition of the modified car-following model can be shown as …”