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dc.contributor.authorThunberg, Johanen
dc.contributor.authorMendes Silva Goncalves, Jorgeen
dc.contributor.authorHu, Xiaomingen
dc.date.accessioned2017-12-11T15:36:24Z
dc.date.available2017-12-11T15:36:24Z
dc.date.issued2016-04en
dc.identifier.issn0005-1098
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/270139
dc.description.abstractThis paper addresses the consensus problem and the formation problem on in multi-agent systems with directed and switching interconnection topologies. Several control laws are introduced for the consensus problem. By a simple transformation, it is shown that the proposed control laws can be used for the formation problem. The design is first conducted on the kinematic level, where the velocities are the control laws. Then, for rigid bodies in space, the design is conducted on the dynamic level, where the torques and the forces are the control laws. On the kinematic level, first two control laws are introduced that explicitly use Euclidean transformations, then separate control laws are defined for the rotations and the translations. In the special case of purely rotational motion, the consensus problem is referred to as consensus on or attitude synchronization. In this problem, for a broad class of local representations or parameterizations of , including the Axis–Angle Representation, the Rodrigues Parameters and the Modified Rodrigues Parameters, two types of control laws are presented that look structurally the same for any choice of local representation. For these two control laws we provide conditions on the initial rotations and the connectivity of the graph such that the system reaches consensus on . Among the contributions of this paper, there are conditions for when exponential rate of convergence occurs. A theorem is provided showing that for any choice of local representation for the rotations, there is a change of coordinates such that the transformed system has a well known structure.
dc.subjectAttitude synchronizationen
dc.subjectFormation controlen
dc.subjectMulti-agent systemsen
dc.subjectNetworked roboticsen
dc.titleConsensus and formation control on SE (3) for switching topologiesen
dc.typeArticle
prism.endingPage121
prism.publicationDate2016en
prism.publicationNameAUTOMATICAen
prism.startingPage109
prism.volume66en
dc.identifier.doi10.17863/CAM.16969
dcterms.dateAccepted2015-12-01en
rioxxterms.versionofrecord10.1016/j.automatica.2015.12.035en
rioxxterms.versionAM*
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2016-04en
dc.contributor.orcidMendes Silva Goncalves, Jorge [0000-0002-5228-6165]
dc.identifier.eissn1873-2836
rioxxterms.typeJournal Article/Reviewen


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