Feedback-based control for coupled map car-following model with time delays on basis of linear discrete-time system

被引：9

作者：

Zhou, Tong ^{[1
,2
,3
]}

Chen, Dong ^{[1
,4
]}

Zheng, Linjiang ^{[1
,3
]}

Liu, Weining ^{[1
,3
]}

He, Yuchu ^{[1
,4
]}

Liu, Zhongcheng ^{[1
,4
]}

机构：

[1] Chongqing Univ, Minist Educ, Key Lab Dependable Serv Comp Cyber Phys Soc, Chongqing 400044, Peoples R China

[2] Chongqing Vocat Inst Engn, Coll Informat Engn, Chongqing 402260, Peoples R China

[3] Chongqing Univ, Sch Comp Sci, Chongqing 400030, Peoples R China

[4] Chongqing Univ, Sch Automat, Chongqing 400044, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2018年 / 512卷

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Traffic flow; Feedback-based control; Discrete-time system; Time delays; Traffic congestion; LATTICE HYDRODYNAMIC MODEL; TRAFFIC FLOW MODEL; DRIVERS BOUNDED RATIONALITY; FORWARD-LOOKING SITES; NON-LANE-DISCIPLINE; VELOCITY DIFFERENCE; NONLINEAR-ANALYSIS; STABILITY; CONSUMPTION; CONGESTION;

D O I：

10.1016/j.physa.2018.08.122

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In order to suppress traffic jams and make traffic flow smooth, we propose feedback-based control strategy for the coupled map car-following model with time delays on basis of linear discrete-time system. In this new kind of model, time delay is incorporated into dynamic equation of vehicles. The traffic system is analyzed based on Gerschgorin disk theorem and general Nyquist stability criterion. The sufficient condition for the existence of coupled map car-following model with time delays is given. Considering time delays, the proposed control scheme can be competent to alleviate traffic congestion. Numerical examples are given to illustrate the effectiveness of the proposed control method. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：174 / 185

页数：12

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