[期刊论文] 靳艳飞,徐猛,Stability analysis in a car-following model with reaction-time delay and delayed feedback control, Physica A: Statistical Mechanics and its Applications, 2016, 459: 107-116.

发布者:孙加亮发布时间:2020-04-15浏览次数:215

Stability analysis in a car-following model with reaction-time delay 

and delayed feedback control

Yanfei Jin, Meng Xu 


Abstract: The delayed feedback control in terms of both headway and velocity differences has been proposed to guarantee the stability of a car-following model including the reaction-time delay of drivers. Using Laplace transformation and transfer function, the stable condition is derived and appropriate choices of time delay and feedback gains are designed to stabilize traffic flow. Meanwhile, an upper bound on explicit time delay is determined with respect to the response of desired acceleration. To ensure the string stability, the explicit time delay cannot over its upper bound. Numerical simulations indicate that the proposed control method can restraint traffic congestion and improve control performance.

 

原文链接: https://www.sciencedirect.com/science/article/pii/S0378437116301765