Analysis of stability and Hopf bifurcation of delayed feedback spin stabilization of a rigid spacecraft

Morad Nazari, Eric A. Butcher

Research output: Contribution to journalArticle

10 Scopus citations

Abstract

The stability and bifurcation of delayed feedback spin stabilization of a rigid spacecraft is investigated in this paper. The spin is stabilized about the principal axis of the intermediate moment of inertia using a simple delayed feedback control law. In particular, linear stability is analyzed via the exponential-polynomial characteristic equations and then the method of multiple scales is used to obtain the normal form of the Hopf bifurcation. Bifurcation diagrams and the dynamics of the delayed closed-loop system are verified using continuation software and with numerical simulations.

Original languageEnglish (US)
Pages (from-to)801-817
Number of pages17
JournalNonlinear Dynamics
Volume74
Issue number3
DOIs
StatePublished - Nov 1 2013
Externally publishedYes

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Keywords

  • Bifurcation
  • Delayed feedback control
  • Multiple scales
  • Normal form
  • Spacecraft
  • Spin stabilization
  • Stability analysis
  • Time delay

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering
  • Applied Mathematics
  • Electrical and Electronic Engineering

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