Decentralized Consensus Control of a Rigid-Body Spacecraft Formation with Communication Delay
AffiliationUniversity of Arizona
Missouri University of Science and Technology
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CitationDecentralized Consensus Control of a Rigid-Body Spacecraft Formation with Communication Delay 2016, 39 (4):838 Journal of Guidance, Control, and Dynamics
RightsCopyright © 2015 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.
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AbstractThe 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.
VersionFinal accepted manuscript