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

Derek J. Bennet; C.R. McInnes

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

Derek J. Bennet, C.R. McInnes

Mechanical And Aerospace Engineering

Research output: Contribution to conference › Paper

1 Citation (Scopus)

16 Downloads (Pure)

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.

Original language	English
Number of pages	11
Publication status	Published - 23 Apr 2008
Event	3rd International Symposium on Formation Flying, Missions and Technologies - Noordwijk, The Netherlands Duration: 23 Apr 2008 → 25 Apr 2008

Conference

Conference	3rd International Symposium on Formation Flying, Missions and Technologies
City	Noordwijk, The Netherlands
Period	23/04/08 → 25/04/08

Keywords

formation-flying
non-linear control
potential fields
bifurcation

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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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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.

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