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Communication constraints in the average consensus problem
KTH, School of Electrical Engineering (EES), Automatic Control.
2008 (English)In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 44, no 3, 671-684 p.Article in journal (Refereed) Published
Abstract [en]

The interrelationship between control and communication theory is becoming of fundamental importance in many distributed control systems, such as the coordination of a team of autonomous agents. In such a problem, communication constraints impose limits on the achievable control performance. We consider as instance of coordination the consensus problem. The aim of the paper is to characterize the relationship between the amount of information exchanged by the agents and the rate of convergence to the consensus. We show that time-invariant communication networks with circulant symmetries yield slow convergence if the amount of information exchanged by the agents does not scale well with their number. On the other hand, we show that randomly time-varying communication networks allow very fast convergence rates. We also show that by adding logarithmic quantized data links to time-invariant networks with symmetries, control performance significantly improves with little growth of the required communication effort.

Place, publisher, year, edition, pages
2008. Vol. 44, no 3, 671-684 p.
Keyword [en]
consensus, multi-agent coordination, convergence rate, logarithmic quantization, random networks, mixing rate of Markov chains
National Category
Computer and Information Science
Identifiers
URN: urn:nbn:se:kth:diva-33161DOI: 10.1016/j.automatica.2007.07.009ISI: 000254596100008Scopus ID: 2-s2.0-39449124137OAI: oai:DiVA.org:kth-33161DiVA: diva2:413664
Note
QC 20110429Available from: 2011-04-29 Created: 2011-04-29 Last updated: 2017-12-11Bibliographically approved

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