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Global consensus in homogeneous networks of discrete-time agents subject to actuator saturation
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.
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
2013 (English)In: 2013 European Control Conference, ECC 2013, IEEE , 2013, 244-249 p.Conference paper, Published paper (Refereed)
Abstract [en]

In this paper, we give necessary conditions for achieving global consensus in homogeneous networks of discrete-time linear time-invariant agents with input saturation constraints under fixed undirected topologies. For two special cases, where the agent model is either neutrally stable or a double integrator, these necessary conditions together with a gain condition are also sufficient. We show this by designing a linear protocol based on the combination of state differences between the agent and its neighbors. In particular, for the neutrally stable case, we show that any linear protocol of a particular form which solves the consensus problem for the case without input saturation constraints also solves the global consensus problem for the case with input saturation constraints. For the double integrator case, we show that a subset of linear protocols which solve the consensus problem for the case without saturation constraints also solve the global consensus problem in the presence of input saturation. The results are illustrated by numerical simulations.

Place, publisher, year, edition, pages
IEEE , 2013. 244-249 p.
Keyword [en]
Actuator saturations, Agent model, Consensus problems, Double integrator, Homogeneous network, Input saturation, Linear time-invariant, Saturation constraints
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-143602ISI: 000332509700041Scopus ID: 2-s2.0-84893226538ISBN: 978-303303962-9 (print)OAI: oai:DiVA.org:kth-143602DiVA: diva2:707762
Conference
2013 12th European Control Conference, ECC 2013; Zurich; Switzerland; 17 July 2013 through 19 July 2013
Funder
Swedish Research CouncilKnut and Alice Wallenberg Foundation
Note

QC 20140325

Available from: 2014-03-25 Created: 2014-03-25 Last updated: 2014-04-24Bibliographically approved

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Dimarogonas, Dimos V.Johansson, Karl Henrik

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