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.
| Identifer | oai:union.ndltd.org:arizona.edu/oai:arizona.openrepository.com:10150/615096 |
| Date | 04 1900 |
| Creators | Nazari, Morad, Butcher, Eric A., Yucelen, Tansel, Sanyal, Amit K. |
| Contributors | University of Arizona, Missouri University of Science and Technology, Syracuse University |
| Publisher | American Institute of Aeronautics and Astronautics |
| Source Sets | University of Arizona |
| Language | English |
| Detected Language | English |
| Type | Article |
| Rights | Copyright © 2015 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved. |
| Relation | http://arc.aiaa.org/doi/10.2514/1.G001396 |
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