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 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
- 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 journal › Article
}
TY - JOUR
T1 - Analysis of stability and Hopf bifurcation of delayed feedback spin stabilization of a rigid spacecraft
AU - Nazari, Morad
AU - Butcher, Eric
PY - 2013/11
Y1 - 2013/11
N2 - 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.
AB - 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.
KW - Bifurcation
KW - Delayed feedback control
KW - Multiple scales
KW - Normal form
KW - Spacecraft
KW - Spin stabilization
KW - Stability analysis
KW - Time delay
UR - http://www.scopus.com/inward/record.url?scp=84886291000&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84886291000&partnerID=8YFLogxK
U2 - 10.1007/s11071-013-1006-5
DO - 10.1007/s11071-013-1006-5
M3 - Article
AN - SCOPUS:84886291000
VL - 74
SP - 801
EP - 817
JO - Nonlinear Dynamics
JF - Nonlinear Dynamics
SN - 0924-090X
IS - 3
ER -