Consensus in the network with uniform constant communication delay

Xu Wang, Ali Saberi, Antonie Arij Stoorvogel, H°avard Fjær Grip, Tao Yang

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Abstract

This paper studies the consensus among identical agents that are at most critically unstable and coupled through networks with uniform constant communication delay. An achievable upper bound of delay tolerance is obtained which explicitly depends on agent dynamics and network topology. The dependence on network topology disappears in the case of undirected networks. For any delay satisfying this upper bound, a controller design methodology without exact knowledge of the network topology is proposed so that the multi-agent consensus in a set of unknown networks can be achieved. Moreover, when the network topology is known, a larger delay tolerance is possible via a topology-dependent consensus controller. The results are illustrated by simulations
Original languageUndefined
Title of host publicationProceedings of the 51st IEEE Conference on Decision and Control (CDC 2012)
Place of PublicationUSA
PublisherIEEE CONTROL SYSTEMS SOCIETY
Pages5318-5323
Number of pages6
ISBN (Print)978-1-4673-2064-1
Publication statusPublished - Dec 2012
Event51st IEEE Conference on Decision and Control, CDC 2012 - Maui, United States
Duration: 10 Dec 201213 Dec 2012
Conference number: 51

Publication series

Name
PublisherIEEE Control Systems Society

Conference

Conference51st IEEE Conference on Decision and Control, CDC 2012
Abbreviated titleCDC
CountryUnited States
CityMaui
Period10/12/1213/12/12

Keywords

  • IR-83563
  • METIS-293288
  • EWI-22830

Cite this

Wang, X., Saberi, A., Stoorvogel, A. A., Grip, H. F., & Yang, T. (2012). Consensus in the network with uniform constant communication delay. In Proceedings of the 51st IEEE Conference on Decision and Control (CDC 2012) (pp. 5318-5323). USA: IEEE CONTROL SYSTEMS SOCIETY.
Wang, Xu ; Saberi, Ali ; Stoorvogel, Antonie Arij ; Grip, H°avard Fjær ; Yang, Tao. / Consensus in the network with uniform constant communication delay. Proceedings of the 51st IEEE Conference on Decision and Control (CDC 2012). USA : IEEE CONTROL SYSTEMS SOCIETY, 2012. pp. 5318-5323
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title = "Consensus in the network with uniform constant communication delay",
abstract = "This paper studies the consensus among identical agents that are at most critically unstable and coupled through networks with uniform constant communication delay. An achievable upper bound of delay tolerance is obtained which explicitly depends on agent dynamics and network topology. The dependence on network topology disappears in the case of undirected networks. For any delay satisfying this upper bound, a controller design methodology without exact knowledge of the network topology is proposed so that the multi-agent consensus in a set of unknown networks can be achieved. Moreover, when the network topology is known, a larger delay tolerance is possible via a topology-dependent consensus controller. The results are illustrated by simulations",
keywords = "IR-83563, METIS-293288, EWI-22830",
author = "Xu Wang and Ali Saberi and Stoorvogel, {Antonie Arij} and Grip, {H°avard Fj{\ae}r} and Tao Yang",
year = "2012",
month = "12",
language = "Undefined",
isbn = "978-1-4673-2064-1",
publisher = "IEEE CONTROL SYSTEMS SOCIETY",
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booktitle = "Proceedings of the 51st IEEE Conference on Decision and Control (CDC 2012)",

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Wang, X, Saberi, A, Stoorvogel, AA, Grip, HF & Yang, T 2012, Consensus in the network with uniform constant communication delay. in Proceedings of the 51st IEEE Conference on Decision and Control (CDC 2012). IEEE CONTROL SYSTEMS SOCIETY, USA, pp. 5318-5323, 51st IEEE Conference on Decision and Control, CDC 2012, Maui, United States, 10/12/12.

Consensus in the network with uniform constant communication delay. / Wang, Xu; Saberi, Ali; Stoorvogel, Antonie Arij; Grip, H°avard Fjær; Yang, Tao.

Proceedings of the 51st IEEE Conference on Decision and Control (CDC 2012). USA : IEEE CONTROL SYSTEMS SOCIETY, 2012. p. 5318-5323.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

TY - GEN

T1 - Consensus in the network with uniform constant communication delay

AU - Wang, Xu

AU - Saberi, Ali

AU - Stoorvogel, Antonie Arij

AU - Grip, H°avard Fjær

AU - Yang, Tao

PY - 2012/12

Y1 - 2012/12

N2 - This paper studies the consensus among identical agents that are at most critically unstable and coupled through networks with uniform constant communication delay. An achievable upper bound of delay tolerance is obtained which explicitly depends on agent dynamics and network topology. The dependence on network topology disappears in the case of undirected networks. For any delay satisfying this upper bound, a controller design methodology without exact knowledge of the network topology is proposed so that the multi-agent consensus in a set of unknown networks can be achieved. Moreover, when the network topology is known, a larger delay tolerance is possible via a topology-dependent consensus controller. The results are illustrated by simulations

AB - This paper studies the consensus among identical agents that are at most critically unstable and coupled through networks with uniform constant communication delay. An achievable upper bound of delay tolerance is obtained which explicitly depends on agent dynamics and network topology. The dependence on network topology disappears in the case of undirected networks. For any delay satisfying this upper bound, a controller design methodology without exact knowledge of the network topology is proposed so that the multi-agent consensus in a set of unknown networks can be achieved. Moreover, when the network topology is known, a larger delay tolerance is possible via a topology-dependent consensus controller. The results are illustrated by simulations

KW - IR-83563

KW - METIS-293288

KW - EWI-22830

M3 - Conference contribution

SN - 978-1-4673-2064-1

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EP - 5323

BT - Proceedings of the 51st IEEE Conference on Decision and Control (CDC 2012)

PB - IEEE CONTROL SYSTEMS SOCIETY

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Wang X, Saberi A, Stoorvogel AA, Grip HF, Yang T. Consensus in the network with uniform constant communication delay. In Proceedings of the 51st IEEE Conference on Decision and Control (CDC 2012). USA: IEEE CONTROL SYSTEMS SOCIETY. 2012. p. 5318-5323