Decentralized consensus control of a rigid-body spacecraft formation with communication delay

Morad Nazari, Eric A. Butcher, Tansel Yucelen, Amit Sanyal

Research output: Contribution to journalArticle

33 Citations (Scopus)

Abstract

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 se3 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.

Original languageEnglish (US)
Pages (from-to)838-851
Number of pages14
JournalJournal of Guidance, Control, and Dynamics
Volume39
Issue number4
DOIs
StatePublished - Jan 1 2016

Fingerprint

Communication Delay
Decentralized control
rigid structures
Spacecraft
Rigid Body
Decentralized
spacecraft
Orbits
Orbit
communication
Delay Differential Equations
Linear Time
Communication
Time delay
Differential equations
differential equations
orbits
Floquet Theory
Lie groups
Discrete Delay

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Aerospace Engineering
  • Space and Planetary Science
  • Electrical and Electronic Engineering
  • Applied Mathematics

Cite this

Decentralized consensus control of a rigid-body spacecraft formation with communication delay. / Nazari, Morad; Butcher, Eric A.; Yucelen, Tansel; Sanyal, Amit.

In: Journal of Guidance, Control, and Dynamics, Vol. 39, No. 4, 01.01.2016, p. 838-851.

Research output: Contribution to journalArticle

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