This article describes a general framework to generate linearized models of satellites with large flexible appendages. The obtained model is parameterized according to the tilt of flexible appendages and can be used to validate an attitude control system over a complete revolution of the appendage. Uncertainties on the characteristic parameters of each substructure can be easily considered by the proposed generic and systematic multibody modeling technique, leading to a minimal linear fractional transformation (LFT) model. The uncertainty block has a direct link with the physical parameters avoiding nonphysical parametric configurations. This approach is illustrated to analyze the attitude control system of a spacecraft fitted with a tiltable flexible solar panel. A very simple root locus allows the stability of the closed-loop system to be characterized for a complete revolution of the solar panel.

Issue Section:
Research Papers
Topics:
Dynamic models, Modeling, Satellites, Space vehicles, Stability, Uncertainty, Inertia (Mechanics), Dynamic modeling, Control equipment, Design, Damping

References

1.
Cumer
,
C.
, and
Chretien
,
J. P.
,
2001
, “
Minimal LFT Form of a Spacecraft Built up From Two Bodies
,”
AIAA Guidance, Navigation, and Control Conference
.
2.
Girard
,
A.
, and
Roy
,
N.
,
2008
,
Structural Dynamics in Industry
,
ISTE Ltd
,
London
.
3.
Clough
,
R.
, and
Penzien
,
J.
,
2003
,
Dynamics of Structure
,
Computers & Structures, Inc.
, Berkeley, CA.
4.
Sidi
,
M.
,
1997
,
Spacecraft Dynamics and Control: A practical Engineering Approach
,
Cambridge University Press
,
Cambridge, UK
.
5.
Bodineau
,
G.
,
Beugnon
,
C.
,
Boulade
,
S.
, and
Bérard-Chiappa
,
C.
,
2006
, “
μ-ITERATION Technique Applied to the Control of Satellites With Large Flexible Appendages
,” Guidance, Navigation and Control Systems, Vol. 606 of ESA Special Publication.
6.
Craig
,
R. R.
,
Chang
,
C. J.
,
Aeronautics
,
U. S. N.
,
Administration
,
S.
,
Center
,
L. R.
, and of Texas at Austin, U.,
1977
,
Substructure Coupling for Dynamic Analysis and Testing
, No. Vol.
2781
in NASA contractor report,
National Aeronautics and Space Administration
.
7.
Imbert
,
J.
,
1991
,
Analyse des structures par éléments finis
, Cépaduès éd., Sup'Aero, Toulouse, France.
8.
Pascal
,
M.
,
1988
, “
Dynamics Analysis of a System of Hinge-Connected Flexible Bodies
,”
Celest. Mech.
,
41
, pp.
253
–
274
.
Google Scholar
Crossref
Search ADS
 
9.
Alazard
,
D.
,
Cumer
,
C.
, and
Tantawi
,
K.
,
2008
, “
Linear Dynamic Modeling of Spacecraft With Various Flexible Appendages and On-Board Angular Momentums
,”
ESA Guidance, Navigation, and Control Conference
.
10.
Guy
,
N.
,
Alazard
,
D.
,
Cumer
,
C.
, and
Charbonnel
,
C.
,
2011
, “
Modeling of Satellite Dynamics With Uncertainties
,”
ESA Guidance, Navigation, and Control Conference
.
11.
Lim
,
K. B.
,
1996
, “
A Robust Control Design Framework for Substructure Models
,” available at http://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov.
12.
Maghami
,
P. G.
, and
Lim
,
K. B.
,
2009
, “
Synthesis and Control of Flexible Systems With Component-Level Uncertainties
,”
ASME J. Dyn. Syst., Meas., Control
,
131
, p.
051005
.10.1115/1.3155010
Google Scholar
Crossref
Search ADS
 
13.
Boulet
,
B.
,
Francis
,
B. A.
,
Hughes
,
P.
, and
Hong
,
T.
,
1997
, “
Uncertainty Modeling and Experiments in H∞ Control of Large Flexible Space Structure
,”
IEEE Trans. Control Syst. Technol.
,
5
(
5
), pp.
504
–
519
.10.1109/87.623036
Google Scholar
Crossref
Search ADS
 
14.
Ferreres
,
G.
,
1999
,
A Practical Approach to Robustness Analysis With Aeronautical Applications
,
Kluwer Academics/Plenum Press
,
New York
.
15.
Beck
,
C.
, and
D'Andrea
,
R.
,
1998
, “
Computational Study and Comparisons of LFT Reducibility Methods
,”
Proceedings of the American Control Conference
, Vol.
2
, pp.
1013
–
1017
.
16.
Varga
,
A.
, and
Looye
,
G.
,
1999
, “
Symbolic and Numerical Software Tools for LFT-Based Low Order Uncertainty Modeling
,”
Proceedings of the CACSD’99 Symposium
, Cohala, pp.
1
–
6
.
17.
Biannic
,
J.-M.
,
Doll
,
C.
, and
Magni
,
J.-F.
,
2006
, “
Simulink-Based Tools for Creating and Simulating Interconnected LFR Objects
,”
Proceedings of the IEEE Conference on Computer Aided Control System Design
.
18.
Gaulocher
,
S.
,
Chretien
,
J. P.
,
Pittet
,
C.
,
Delpech
,
M.
, and
Alazard
,
D.
,
2004
, “
Closed-Loop Control of Formation Flying Satellites: Time and Parameter Varying Framework
,”
2nd International Symposium on Formation Flying Missions and Technologies
.
19.
Kumar
,
R.
,
2012
, “
Active Vibration Control of Beams by Combining Precompressed Layer Damping and ACLD Treatment: Performance Comparison of Various Robust Control Techniques
,”
ASME J. Vibr. Acoust.
,
134
(
2
), p.
021015
. 10.1115/1.4004997
Google Scholar
Crossref
Search ADS
 
Copyright © 2014 by ASME
You do not currently have access to this content.