Pattern transition in spacecraft formation flying via the artificial potential field method and bifurcation theory

Derek J. Bennet, C.R. McInnes

Research output: Contribution to conferencePaper

1 Citation (Scopus)

Abstract

In recent years many new and exciting space concepts have developed around spacecraft formation flying. This form of distributed system has the advantages of being extremely flexible and robust. This paper considers the development of new control methodologies based on the artificial potential function method and extends previous research in this area by considering bifurcation theory as a means of controlling the transition between different formations. For real, safety critical applications it is important to prove the stability of the system. This paper therefore aims to replace algorithm validation with mathematical proof through dynamical systems theory. Finally we consider the transition of formations at the Sun-Earth L2 point.

Conference

Conference3rd International Symposium on Formation Flying, Missions and Technologies
CityNoordwijk, The Netherlands
Period23/04/0825/04/08

Fingerprint

System theory
Sun
Spacecraft
Dynamical systems
Earth (planet)

Keywords

  • formation-flying
  • non-linear control
  • potential fields
  • bifurcation

Cite this

Bennet, D. J., & McInnes, C. R. (2008). Pattern transition in spacecraft formation flying via the artificial potential field method and bifurcation theory. Paper presented at 3rd International Symposium on Formation Flying, Missions and Technologies, Noordwijk, The Netherlands, .
Bennet, Derek J. ; McInnes, C.R. / Pattern transition in spacecraft formation flying via the artificial potential field method and bifurcation theory. Paper presented at 3rd International Symposium on Formation Flying, Missions and Technologies, Noordwijk, The Netherlands, .11 p.
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abstract = "In recent years many new and exciting space concepts have developed around spacecraft formation flying. This form of distributed system has the advantages of being extremely flexible and robust. This paper considers the development of new control methodologies based on the artificial potential function method and extends previous research in this area by considering bifurcation theory as a means of controlling the transition between different formations. For real, safety critical applications it is important to prove the stability of the system. This paper therefore aims to replace algorithm validation with mathematical proof through dynamical systems theory. Finally we consider the transition of formations at the Sun-Earth L2 point.",
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Bennet, DJ & McInnes, CR 2008, 'Pattern transition in spacecraft formation flying via the artificial potential field method and bifurcation theory' Paper presented at 3rd International Symposium on Formation Flying, Missions and Technologies, Noordwijk, The Netherlands, 23/04/08 - 25/04/08, .

Pattern transition in spacecraft formation flying via the artificial potential field method and bifurcation theory. / Bennet, Derek J.; McInnes, C.R.

2008. Paper presented at 3rd International Symposium on Formation Flying, Missions and Technologies, Noordwijk, The Netherlands, .

Research output: Contribution to conferencePaper

TY - CONF

T1 - Pattern transition in spacecraft formation flying via the artificial potential field method and bifurcation theory

AU - Bennet, Derek J.

AU - McInnes, C.R.

PY - 2008/4/23

Y1 - 2008/4/23

N2 - In recent years many new and exciting space concepts have developed around spacecraft formation flying. This form of distributed system has the advantages of being extremely flexible and robust. This paper considers the development of new control methodologies based on the artificial potential function method and extends previous research in this area by considering bifurcation theory as a means of controlling the transition between different formations. For real, safety critical applications it is important to prove the stability of the system. This paper therefore aims to replace algorithm validation with mathematical proof through dynamical systems theory. Finally we consider the transition of formations at the Sun-Earth L2 point.

AB - In recent years many new and exciting space concepts have developed around spacecraft formation flying. This form of distributed system has the advantages of being extremely flexible and robust. This paper considers the development of new control methodologies based on the artificial potential function method and extends previous research in this area by considering bifurcation theory as a means of controlling the transition between different formations. For real, safety critical applications it is important to prove the stability of the system. This paper therefore aims to replace algorithm validation with mathematical proof through dynamical systems theory. Finally we consider the transition of formations at the Sun-Earth L2 point.

KW - formation-flying

KW - non-linear control

KW - potential fields

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M3 - Paper

ER -

Bennet DJ, McInnes CR. Pattern transition in spacecraft formation flying via the artificial potential field method and bifurcation theory. 2008. Paper presented at 3rd International Symposium on Formation Flying, Missions and Technologies, Noordwijk, The Netherlands, .