Coordinated chaos control of urban expressway based on synchronization of complex networks

doi:10.1088/1674-1056/27/11/118902

中国物理B ›› 2018, Vol. 27 ›› Issue (11): 118902-118902.doi: 10.1088/1674-1056/27/11/118902

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇

Coordinated chaos control of urban expressway based on synchronization of complex networks

Ming-bao Pang(庞明宝), Yu-man Huang(黄玉满)

School of Civil and Transportation, Hebei University of Technology, Tianjin 300401, China

收稿日期:2018-06-02 修回日期:2018-08-15 出版日期:2018-11-05 发布日期:2018-11-05
通讯作者: Ming-bao Pang, Yu-man Huang E-mail:pmbpgy@hebut.edu.cn;Hym127441@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 50478088) and the Natural Science Foundation of Hebei Province, China (Grant No. E2015202266).

Coordinated chaos control of urban expressway based on synchronization of complex networks

Ming-bao Pang(庞明宝), Yu-man Huang(黄玉满)

School of Civil and Transportation, Hebei University of Technology, Tianjin 300401, China

Received:2018-06-02 Revised:2018-08-15 Online:2018-11-05 Published:2018-11-05
Contact: Ming-bao Pang, Yu-man Huang E-mail:pmbpgy@hebut.edu.cn;Hym127441@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 50478088) and the Natural Science Foundation of Hebei Province, China (Grant No. E2015202266).

摘要/Abstract

摘要：

We investigate the problem of coordinated chaos control on an urban expressway based on pinning synchronization of complex networks. A node coupling model of an urban expressway based on complex networks has been established using the cell transmission model (CTM). The pinning controller corresponding to multi-ramp coordinated controller was designed by using the delayed feedback control (DFC) method, whose objective is to realize periodical orbits from chaotic states. The concrete pinning control nodes corresponding to the subsystems of regulating the inflows from the on-ramps to the mainline were obtained and the parameters of the controller were optimized by using the stability theory of complex networks to ensure the network synchronization. The validity of the proposed coordinated chaos control method was proven via the simulation experiment. The results of the examples indicated that the order motion on urban expressway can be realized, the wide-moving traffic jam can be suppressed, and the operating efficiency is superior to that of the traditional control methods.

关键词: pinning synchronization of complex networks, multi-on-ramp metering of urban expressway, chaos control, delayed feedback control (DFC)

Abstract:

Key words: pinning synchronization of complex networks, multi-on-ramp metering of urban expressway, chaos control, delayed feedback control (DFC)

中图分类号: (Land transportation)

89.40.Bb

89.40.-a (Transportation) 89.75.Fb (Structures and organization in complex systems)

庞明宝, 黄玉满. Coordinated chaos control of urban expressway based on synchronization of complex networks[J]. 中国物理B, 2018, 27(11): 118902-118902.

Ming-bao Pang(庞明宝), Yu-man Huang(黄玉满). Coordinated chaos control of urban expressway based on synchronization of complex networks[J]. Chin. Phys. B, 2018, 27(11): 118902-118902.

参考文献 33

[1]	Aslani M, Mesgari M S and Wiering M 2017 Transp. Res. C 85 732 doi: 10.1016/j.trc.2017.09.020
[2]	Bifulco G N, Cantarella G E, Simonelli F and Veloná P 2016 Transp. Res. B 92 73 doi: 10.1016/j.trb.2015.12.008
[3]	Peng G H, Song W, Peng Y J and Wang S H 2014 Physica A 398 76 doi: 10.1016/j.physa.2013.12.015
[4]	Haddad J, Ramezani M and Geroliminis N 2013 Transp. Res. B 54 17 doi: 10.1016/j.trb.2013.03.007
[5]	Papamichail I, Kotsialos A, Margonis I and Papageorgiou M 2010 Transp. Res. C 18 311 doi: 10.1016/j.trc.2008.11.002
[6]	Yang X F, Cheng Y and Chang G L 2018 Transp. Res. C 86 328 doi: 10.1016/j.trc.2017.11.019
[7]	Zheng Y M, Cheng R J and Ge H X 2017 Phys. Lett. A 381 2137 doi: 10.1016/j.physleta.2017.04.041
[8]	Bhouri N, Salem H H and Kauppila J 2013 Transp. Res. C 28 155 doi: 10.1016/j.trc.2011.11.001
[9]	Ge H X, Meng X P, Zhu H B and Li Z P 2014 Physica A 408 28 doi: 10.1016/j.physa.2014.03.078
[10]	Zhu Z W, Wang H L, Han H C and Xu J 2008 The 9th International Conference for Young Computer Scientists, November 2008, Hunan, China, p.2766
[11]	Nagatani T 1999 Phys. Rev. E 60 1535
[12]	Li K P and Gao Z Y 2004 Chin. Phys. Lett. 21 1212 doi: 10.1088/0256-307X/21/7/008
[13]	Jeihani M, James P, Saka A A and Ardeshiri A 2015 ScienceDirect 2 291
[14]	Fang Y L and Shi Z K 2015 Physica A 422 40 doi: 10.1016/j.physa.2014.11.038
[15]	Pang M B, Ren S S, Wang Y H and Chen P 2013 J. Highw. Transp. Res. Dev. 7 90(ASCE)
[16]	Pang M B, Cai Z H, Yang M and Zhang S S 2015 J. Highw. Transp. Res. Dev. 9 79(ASCE)
[17]	Cheng A Y, Jiang X, Li Y F, Zhang C and Zhu H 2017 Physica A 466 422 doi: 10.1016/j.physa.2016.09.041
[18]	Zhang L S, Gu W F, Hu G and Mi Y Y 2014 Chin. Phys. B 23 108902 doi: 10.1088/1674-1056/23/10/108902
[19]	Song B, Jiang G P, Song Y R and Xia L L 2015 Chin. Phys. B 24 100101 doi: 10.1088/1674-1056/24/10/100101
[20]	Zhong X, Liu J J, Gao Y and Wu L 2017 Physica A 466 462 doi: 10.1016/j.physa.2016.09.024
[21]	Wang Z Y, Hill D J, Chen G and Dong Z Y 2017 Physica A 482 532 doi: 10.1016/j.physa.2017.04.031
[22]	Li S B, Wu J J, Gao Z Y, Lin Y and Fu B B 2011 Acta Phys. Sin. 60 050701(in Chinese)
[23]	An X L, Zhang L, Li Y Z and Zhang J G 2014 Physica A 412 149 doi: 10.1016/j.physa.2014.06.033
[24]	Wang J A, Nie R X and Sun Z Y 2014 Chin. Phys. B 23 050509 doi: 10.1088/1674-1056/23/5/050509
[25]	Xu M, Wang J L, Huang Y L, Wei P C and Wang S X 2017 Neurocomputing 266 263 doi: 10.1016/j.neucom.2017.05.040
[26]	Wang S G and Yao H X 2012 Chin. Phys. B 21 050508 doi: 10.1088/1674-1056/21/5/050508
[27]	DeLellis P, Garofalo F and Iudice F L 2018 Automatica 89 111 doi: 10.1016/j.automatica.2017.11.025
[28]	Csikós A and Kulcsár B 2017 Transp. Res. C 85 429 doi: 10.1016/j.trc.2017.10.003
[29]	Geng N, Zhao X M, Xie D F, Li X G and Gao Z Y 2015 Transp. Res. C 57 122 doi: 10.1016/j.trc.2015.06.015
[30]	Li N, Sun H Y and Zhang Q L 2012 Chin. Phys. B 21 010503 doi: 10.1088/1674-1056/21/1/010503
[31]	Lee S M, Kwon O M and Park J H 2011 Chin. Phys. B 20 010506 doi: 10.1088/1674-1056/20/1/010506
[32]	Rakkiyappan R, Sakthivel N and Lakshmanan S 2014 Chin. Phys. B 23 020205 doi: 10.1088/1674-1056/23/2/020205
[33]	Lu X Y, Varaiya P, Horowitz R, Su D Y and Shladover S E 2011 Transportation Res. Record 2229 55 doi: 10.3141/2229-07

Coordinated chaos control of urban expressway based on synchronization of complex networks

Coordinated chaos control of urban expressway based on synchronization of complex networks

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