Analysis of feedback control scheme on discrete car-following system

Wen-Xing Zhu and H.M. Zhang

Physica A: Statistical Mechanics and its Applications, 2018, vol. 503, issue C, 322-330

Abstract: We discretized the Newell’s car-following model into a difference equation and the impulse transfer function is derived. The stability condition is given and proven as a Lemma based on bilinear transformation and Routh criteria. Feedback control scheme was applied to improve the performance of car-following system. A theorem was proposed to judge the stability condition in designing the feedback coefficient for controlled car-following system. Numerical simulations were conducted to verify the validity of the discrete car-following model and its control scheme. The simulation results show that the sampling time and feedback control coefficient have effects on the stability of car-following system.

Keywords: Discrete car-following model; Feedback control; Routh criterion (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations: View citations in EconPapers (13)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:503:y:2018:i:c:p:322-330

DOI: 10.1016/j.physa.2018.02.192

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