Stability analysis in a car-following model with reaction-time delay and delayed feedback control

Yanfei Jin and Meng Xu

Physica A: Statistical Mechanics and its Applications, 2016, vol. 459, issue C, 107-116

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.

Keywords: Car-following model; Reaction-time delay of driver; Stability analysis; Delayed feedback control (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:459:y:2016:i:c:p:107-116

DOI: 10.1016/j.physa.2016.04.038

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