Delayed-feedback control in a Lattice hydrodynamic model

被引：194

作者：

Redhu, Poonam ^{[1
]}

Gupta, Arvind Kumar ^{[1
]}

机构：

[1] Indian Inst Technol Ropar, Dept Math, Rupnagar 140001, India

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2015年 / 27卷 / 1-3期

关键词：

Delayed-feedback control; Stability analysis; Traffic jam; CAR-FOLLOWING MODEL; TRAFFIC FLOW MODEL; INTER-VEHICLE COMMUNICATION; OPTIMAL CURRENT DIFFERENCE; JAMMING TRANSITION;

D O I：

10.1016/j.cnsns.2015.03.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The delayed-feedback control (DFC) method for lattice hydrodynamic traffic flow model is investigated on a unidirectional road. By using the Hurwitz criteria and the condition for transfer function in term of H-infinity-norm, we designed the feedback gain and delay time to stabilize the traffic flow and suppress the traffic jam. The Bode-plot of transfer function have been plotted and discussed that the stability region enhances with delayed-feedback control. It is shown that the delayed-feedback control method stabilizes the traffic flow and suppresses the traffic jam efficiently. The simulation results are in good agreement with the theoretical analysis. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：263 / 270

页数：8

共 26 条

[1] Two velocity difference model for a car following theory [J].

Ge, H. X. ;

Cheng, R. J. ;

Li, Z. P. .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2008, 387 (21) :5239-5245

[2] The control method for the lattice hydrodynamic model [J].

Ge, Hong-Xia ;

Cui, Yu ;

Zhu, Ke-Qiang ;

Cheng, Rong-Jun .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 22 (1-3) :903-908

[3] Analyses of Lattice Traffic Flow Model on a Gradient Highway [J].

Gupta, Arvind Kumar ;

Sharma, Sapna ;

Redhu, Poonam .

COMMUNICATIONS IN THEORETICAL PHYSICS, 2014, 62 (03) :393-404

[4] Analyses of the driver's anticipation effect in a new lattice hydrodynamic traffic flow model with passing [J].

Gupta, Arvind Kumar ;

Redhu, Poonam .

NONLINEAR DYNAMICS, 2014, 76 (02) :1001-1011

[5] Analysis of a modified two-lane lattice model by considering the density difference effect [J].

Gupta, Arvind Kumar ;

Redhu, Poonam .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (05) :1600-1610

[6] Analyses of driver's anticipation effect in sensing relative flux in a new lattice model for two-lane traffic system [J].

Gupta, Arvind Kumar ;

Redhu, Poonam .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2013, 392 (22) :5622-5632

[7] Jamming transition of a two-dimensional traffic dynamics with consideration of optimal current difference [J].

Gupta, Arvind Kumar ;

Redhu, Poonam .

PHYSICS LETTERS A, 2013, 377 (34-36) :2027-2033

[8] Spatiotemporal congested traffic patterns in macroscopic version of the Kerner-Klenov speed adaptation model [J].

Jiang, Rui ;

Hu, Mao-Bin ;

Jia, Bin ;

Wang, Ruili ;

Wu, Qing-Song .

PHYSICS LETTERS A, 2007, 365 (1-2) :6-9

[9] Stabilization of traffic flow in optimal velocity model via delayed-feedback control [J].

Jin, Yanfei ;

Hu, Haiyan .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2013, 18 (04) :1027-1034

[10] Coupled map car-following model and its delayed-feedback control [J].

Konishi, K ;

Kokame, H ;

Hirata, K .

PHYSICAL REVIEW E, 1999, 60 (04) :4000-4007

← 1 2 3 →