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Consensus under communication delays
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0001-7309-8086
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0001-9940-5929
2008 (English)In: Proceedings of the IEEE Conference on Decision and Control, 2008, 4922-4927 p.Conference paper, Published paper (Refereed)
Abstract [en]

This paper deals with the consensus problem under communication network inducing delays. It is well-known that introducing a delay leads in general to a reduction of the performance or to instability due to the fact that timedelay systems are infinite dimensional. For instance, the set of initial conditions of a time-delay system is not a vector but a function taken in an interval. Therefore, investigating the effect of time-delays in the consensus problem is an important issue. In the present paper, we assume that each agent receives instantaneously its own state information but receives the state information from its neighbors after a constant delay. Two stability criteria are provided based on the frequency approach and on Lyapunov-Krasovskii techniques given in terms of LMI. An analytic expression of the consensus equilibrium which depends on the delay and on the initial conditions taken in an interval is derived. The efficiency of the method is tested for different network communication schemes.

Place, publisher, year, edition, pages
2008. 4922-4927 p.
Series
IEEE Conference on Decision and Control, ISSN 0191-2216
Keyword [en]
Analytic expressions, Communication delays, Communication networks, Consensus problems, Constant delays, Frequency approaches, Infinite dimensional, Initial conditions, Lyapunov-Krasovskii, Network communication schemes, State informations, Time- delays, Time-delay systems, Communication, Delay control systems, Linear control systems, Telecommunication networks, Time delay, Stability criteria
National Category
Information Science
Identifiers
URN: urn:nbn:se:kth:diva-28520DOI: 10.1109/CDC.2008.4739278ISI: 000307311605011Scopus ID: 2-s2.0-62949169209OAI: oai:DiVA.org:kth-28520DiVA: diva2:389903
Conference
47th IEEE Conference on Decision and Control, CDC 2008; Cancun; 9 December 2008
Note

QC 20110120

Available from: 2011-01-20 Created: 2011-01-14 Last updated: 2013-05-28Bibliographically approved

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Dimarogonas, Dimos V.Johansson, Karl Henrik

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