Time-delayed feedback control in astrodynamics

James D. Biggs, Colin R. McInnes

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

In this paper we present time-delayed feedback control (TDFC) for the purpose of autonomously driving trajectories of nonlinear systems into periodic orbits. As the generation of periodic orbits is a major component of many problems in astodynamics we propose this method as a useful tool in such applications. To motivate the use of this method we apply it to a number of well known problems in the astrodynamics literature. Firstly, TDFC is applied to control in the chaotic attitude motion of an asymmetric satellite in an elliptical orbit. Secondly, we apply TDFC to the problem of maintaining a spacecraft in a periodic orbit about a body with large ellipticity (such as an asteroid) and finally, we apply TDFC to eliminate the drift between two satellites in low Earth orbits to ensure their relative motion is bounded.
LanguageEnglish
Pages1804-1811
Number of pages8
JournalJournal of Guidance, Control and Dynamics
Volume32
Issue number6
DOIs
Publication statusPublished - Nov 2009

Fingerprint

astrodynamics
Delayed Feedback Control
Space flight
feedback control
Feedback control
Orbits
Periodic Orbits
orbits
Orbit
elliptical orbits
Motion
Satellites
Ellipticity
low Earth orbits
ellipticity
asteroids
Asteroids
nonlinear systems
Spacecraft
asteroid

Keywords

  • non-linear systems
  • periodic orbits
  • astrodynamics

Cite this

Biggs, James D. ; McInnes, Colin R. / Time-delayed feedback control in astrodynamics. In: Journal of Guidance, Control and Dynamics. 2009 ; Vol. 32, No. 6. pp. 1804-1811.
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Time-delayed feedback control in astrodynamics. / Biggs, James D.; McInnes, Colin R.

In: Journal of Guidance, Control and Dynamics, Vol. 32, No. 6, 11.2009, p. 1804-1811.

Research output: Contribution to journalArticle

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