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 language | English (US) |
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Pages (from-to) | 801-817 |
Number of pages | 17 |
Journal | Nonlinear Dynamics |
Volume | 74 |
Issue number | 3 |
DOIs | |
State | Published - Nov 2013 |
Externally published | Yes |
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