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Decentralized Consensus Control of a Rigid-Body Spacecraft Formation with Communication Delay

The decentralized consensus control of a formation of rigid-body spacecraft is studied in the framework of geometric mechanics while accounting for a constant communication time delay between spacecraft. The relative position and attitude (relative pose) are represented on the Lie group SE(3) and the communication topology is modeled as a digraph. The consensus problem is converted into a local stabilization problem of the error dynamics associated with the Lie algebra se(3) in the form of linear time-invariant delay differential equations with a single discrete delay in the case of a circular orbit, whereas it is in the form of linear time-periodic delay differential equations in the case of an elliptic orbit, in which the stability may be assessed using infinite-dimensional Floquet theory. The proposed technique is applied to the consensus control of four spacecraft in the vicinity of a Molniya orbit.

Identiferoai:union.ndltd.org:arizona.edu/oai:arizona.openrepository.com:10150/615096
Date04 1900
CreatorsNazari, Morad, Butcher, Eric A., Yucelen, Tansel, Sanyal, Amit K.
ContributorsUniversity of Arizona, Missouri University of Science and Technology, Syracuse University
PublisherAmerican Institute of Aeronautics and Astronautics
Source SetsUniversity of Arizona
LanguageEnglish
Detected LanguageEnglish
TypeArticle
RightsCopyright © 2015 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.
Relationhttp://arc.aiaa.org/doi/10.2514/1.G001396

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