An extended car-following model considering the driver's desire for smooth driving and self-stabilizing control with velocity uncertainty
type: Item
instance of: scholarly article
title: An extended car-following model considering the driver's desire for smooth driving and self-stabilizing control with velocity uncertainty
zbMATH Open document ID: 1459.90063
DOI: 10.1155/2020/9546012
author: Yanyan Li
published in: Mathematical Problems in Engineering
publication date: 2020-10-12T00:00:00Z
review text: Summary: In this paper, an extended car-following model with consideration of the driver's desire for smooth driving and the self-stabilizing control in historical velocity data is constructed. Moreover, for better reflecting the reality, we also integrate the velocity uncertainty into the new model to analyze the internal characteristics of traffic flow in situation where the historical velocity data are uncertain. Then, the model's linear stability condition is inferred by utilizing linear stability analysis, and the modified Korteweg-de Vries (mKdV) equation is also obtained to depict the evolution properties of traffic congestion. According to the theoretical analysis, we observe that the degree of traffic congestion is alleviated when the control signal is considered, and the historical time gap and the velocity uncertainty also play a role in affecting the stability of traffic flow. Finally, some numerical simulation experiments are implemented and the experiments' results demonstrate that the control signals including the self-stabilizing control, the driver's desire for smooth driving, the historical time gap, and the velocity uncertainty are of avail to improve the traffic jam, which are consistent with the theoretical analytical results.
Mathematics Subject Classification ID: 90B20
Mathematics Subject Classification ID: 34K31
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 7259693
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/9546012
OpenAlex ID: W3082972294
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description: scientific article; zbMATH DE number 7259693