New feedback control for a novel two-dimensional lattice hydrodynamic model considering driver's memory effect

被引：19

作者：

Li, Lixiang ^{[1
,2
,3
]}

Cheng, Rongjun ^{[1
]}

Ge, Hongxia ^{[1
,2
,3
]}

机构：

[1] Ningbo Univ, Fac Maritime & Transportat, Ningbo 315211, Peoples R China

[2] Jiangsu Prov Collaborat Innovat Ctr Modern Urban, Nanjing 210096, Peoples R China

[3] Ningbo Univ, Natl Traff Management Engn & Technol Res Ctr, Subctr, Ningbo 315211, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2021年 / 561卷

关键词：

Traffic flow; Two-dimensional; Lattice hydrodynamic model; Driver's memory effect; Control signal; CAR-FOLLOWING MODEL; VELOCITY DIFFERENCE MODEL; EXTENDED CONTINUUM MODEL; TRAFFIC FLOW; JAMMING TRANSITION; RELATIVE VELOCITY; ANTICIPATION; DYNAMICS; EQUATION; VEHICLES;

D O I：

10.1016/j.physa.2020.125295

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Considering the driver's memory effect and new feedback control signal, a novel two-dimensional lattice hydrodynamic model is proposed. The linear stability condition of the new model is derived by exploiting control method. Via nonlinear analysis, the kink-antikink solution of modified Korteweg-de Vries (mKdV) equation is derived, which can be used to give a description of the density waves near the critical points. Then numerical simulation is conducted to verify the theoretical analysis. The results of theoretical analysis and numerical simulation both show that the new control signal availably stabilizes the traffic flow. On the contrary, as the driver's memory time increases, the traffic flow becomes more unstable. (c) 2020 Elsevier B.V. All rights reserved.

引用

页数：13

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