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

Morad Nazari, Eric Butcher

Research output: Contribution to journalArticle

10 Citations (Scopus)

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 2013
Externally publishedYes

Fingerprint

Delayed Feedback
Hopf bifurcation
Spacecraft
Hopf Bifurcation
Stabilization
Delayed Feedback Control
Feedback
Exponential Polynomial
Method of multiple Scales
Moment of inertia
Bifurcation (mathematics)
Characteristic equation
Polynomial equation
Linear Stability
Bifurcation Diagram
Closed loop systems
Normal Form
Closed-loop System
Continuation
Feedback control

Keywords

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

ASJC Scopus subject areas

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

Cite this

Analysis of stability and Hopf bifurcation of delayed feedback spin stabilization of a rigid spacecraft. / Nazari, Morad; Butcher, Eric.

In: Nonlinear Dynamics, Vol. 74, No. 3, 11.2013, p. 801-817.

Research output: Contribution to journalArticle

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