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Controlling Four Agent Formations
Journal article   Open access   Peer reviewed

Controlling Four Agent Formations

Brian D.O Anderson, Changbin Yu, Soura Dasgupta and Tyler H Summers
IFAC Proceedings Volumes, Vol.43(19), pp.139-144
2010
DOI: 10.3182/20100913-2-FR-4014.00043
url
https://doi.org/10.3182/20100913-2-FR-4014.00043View
Published (Version of record) Open Access

Abstract

This paper considers formation shape control of a team of four point agents, for the most part in the plane. Control laws based on specified interagent distances are used. For a complete graph, specification of all interagent distances determines the formation shape uniquely. Krick, Broucke and Francis showed that for a now almost standard control law, there may exist equilibrium formation shapes with incorrect interagent distances. This paper studies such equilibria, shows that in some cases they are necessarily unstable.

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