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) |
|---|---|
| Pages (from-to) | 801-817 |
| Number of pages | 17 |
| Journal | Nonlinear Dynamics |
| Volume | 74 |
| Issue number | 3 |
| DOIs | |
| State | Published - Nov 1 2013 |
| Externally published | Yes |
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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