Consensus in the network with uniform constant communication delay

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

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 proceeding › Conference contribution › Academic › peer-review

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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 language	Undefined
Title of host publication	Proceedings of the 51st IEEE Conference on Decision and Control (CDC 2012)
Place of Publication	USA
Publisher	IEEE
Pages	5318-5323
Number of pages	6
ISBN (Print)	978-1-4673-2064-1
Publication status	Published - Dec 2012
Event	51st IEEE Conference on Decision and Control, CDC 2012 - Maui, United States Duration: 10 Dec 2012 → 13 Dec 2012 Conference number: 51

Publication series

Name
Publisher	IEEE Control Systems Society

Conference

Conference	51st IEEE Conference on Decision and Control, CDC 2012
Abbreviated title	CDC
Country/Territory	United States
City	Maui
Period	10/12/12 → 13/12/12

Keywords

IR-83563
METIS-293288
EWI-22830

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Cite this

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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 = dec,

language = "Undefined",

isbn = "978-1-4673-2064-1",

publisher = "IEEE",

pages = "5318--5323",

booktitle = "Proceedings of the 51st IEEE Conference on Decision and Control (CDC 2012)",

address = "United States",

note = "51st IEEE Conference on Decision and Control, CDC 2012 ; Conference date: 10-12-2012 Through 13-12-2012",

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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, USA, pp. 5318-5323, 51st IEEE Conference on Decision and Control, CDC 2012, Maui, Hawaii, United States, 10/12/12. <http://eprints.eemcs.utwente.nl/secure2/22830/01/p118.pdf>

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

N1 - Conference code: 51

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

SP - 5318

EP - 5323

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

PB - IEEE

CY - USA

T2 - 51st IEEE Conference on Decision and Control, CDC 2012

Y2 - 10 December 2012 through 13 December 2012

ER -