In this paper, a robust gain-scheduling attitude control scheme for spacecrafts with large rotational appendages is proposed. First, by introducing the higher-order singular value decomposition (HOSVD) method, a polytopic linear parameter varying (LPV) model with a family of weighting coefficients is developed based on the kinetics of a flexible spacecraft. This model eliminates the need of verifying all the gridding points, which is required in conventional controller synthesis process, and reduces the calculation complexity. Second, a generalized plant is derived to guarantee both the system robust stability and the tracking performances. Based on the LPV control theory, a less conservative controller synthesis condition for the polytopic LPV system is deduced. With an online tuning unit, the convex combination of every vertex controller is obtained. For control implementation, the present scheduling parameter is taken as an input for the tuning unit. Numerical results demonstrate the effectiveness and efficiency of the proposed control scheme.

References

References
1.
Nagashio
,
T.
,
Kida
,
T.
,
Ohtani
,
T.
, and
Hamada
,
Y.
,
2010
, “
Design and Implementation of Robust Symmetric Attitude Controller for ETS-VIII Spacecraft
,”
Control Eng. Pract.
,
18
(
12
), pp.
1440
1451
.
2.
Guy
,
N.
,
Alazard
,
D.
,
Cumer
,
C.
, and
Charbonnel
,
C.
,
2014
, “
Dynamic Modeling and Analysis of Spacecraft With Variable Tilt of Flexible Appendages
,”
ASME J. Dyn. Syst. Meas. Control
,
136
(
2
), p.
021020
.
3.
Bahrami
,
M.
, and
Kalantari Nezhad
,
R.
,
2006
, “
Adaptive Attitude Control of a Flexible Satellite
,”
First International Symposium on Systems and Control in Aerospace and Astronautics
, Harbin, China, Jan. 19–21, pp.
1329
1333
.
4.
Gransden
,
D. I.
, and
Mooij
,
E.
,
2016
, “
Simple Adaptive Control of a Satellite With Large Flexible Appendages
,”
67th International Astronautical Congress
, Guadalajara, Mexico, Sept. 26–30, p. 13.
5.
Hu
,
Q.
,
2009
, “
Robust Adaptive Sliding Mode Attitude Maneuvering and Vibration Damping of Three-Axis-Stabilized Flexible Spacecraft With Actuator Saturation Limits
,”
Nonlinear Dyn.
,
55
(
4
), pp.
301
321
.
6.
Xiao
,
B.
,
Yin
,
S.
, and
Gao
,
H.
,
2018
, “
Reconfigurable Tolerant Control of Uncertain Mechanical Systems With Actuator Faults: A Sliding Mode Observer-Based Approach
,”
IEEE Trans. Control Syst. Technol.
,
26
(
4
), pp.
1249
1258
.
7.
Xiao
,
B.
,
Dong
,
Q.
,
Ye
,
D.
,
Liu
,
L.
, and
Huo
,
X.
,
2018
, “
A General Tracking Control Framework for Uncertain Systems With Exponential Convergence Performance
,”
IEEE/ASME Trans. Mechatronics
,
23
(
1
), pp.
111
120
.
8.
Xiao
,
B.
,
Yin
,
S.
, and
Kaynak
,
O.
,
2016
, “
Tracking Control of Robotic Manipulators With Uncertain Kinematics and Dynamics
,”
IEEE Trans. Ind. Inf.
,
63
(
10
), pp.
6439
6449
.
9.
Rugh
,
W. J.
, and
Shamma
,
J. S.
,
2000
, “
Research on Gain Scheduling
,”
Automatica
,
36
(
10
), pp.
1401
1425
.
10.
Apkarian
,
P.
, and
Adams
,
R. J.
,
1998
, “
Advanced Gain-Scheduling Techniques for Uncertain Systems
,”
IEEE Trans. Control Syst. Technol.
,
6
(
1
), pp.
21
32
.
11.
Lu
,
B.
, and
Wu
,
F.
,
2004
, “
Switching LPV Control Designs Using Multiple Parameter-Dependent Lyapunov Functions
,”
Automatica
,
40
(
11
), pp.
1973
1980
.
12.
Chen
,
P. C.
,
Wu
,
S. L.
, and
Chuang
,
H. S.
,
2010
, “
The Smooth Switching Control for TORA System Via LMIs
,” Eighth
IEEE
International Conference on Control and Automation,
Xiamen, China, June 9–11, pp.
1338
1343
.
13.
Hanifzadegan
,
M.
, and
Nagamune
,
R.
,
2014
, “
Smooth Switching LPV Controller Design for LPV Systems
,”
Automatica
,
50
(
5
), pp.
1481
1488
.
14.
Jiang
,
W.
,
Dong
,
C.
, and
Wang
,
Q.
,
2015
, “
Smooth Switching Linear Parameter-Varying Control for Hypersonic Vehicles Via a Parameter Set Automatic Partition Method
,”
IET Control Theory Appl.
,
9
(
16
), pp.
2377
2386
.
15.
Shamma
,
J. S.
, and
Cloutier
,
J. R.
,
1993
, “
Gain-Scheduled Missile Autopilot Design Using Linear Parameter Varying Transformations
,”
J. Guid. Control Dyn.
,
16
(
2
), pp.
256
263
.
16.
Cai
,
G.
,
Song
,
J.
, and
Chen
,
X.
,
2014
, “
Robust LPV Autopilot Design for Hypersonic Reentry Vehicle
,”
Aircr. Eng. Aerosp. Technol.
,
86
(
5
), pp.
423
431
.https://www.emeraldinsight.com/doi/abs/10.1108/AEAT-10-2012-0198
17.
Shen
,
Y.
,
Yu
,
J.
,
Luo
,
G.
, and
Mei
,
Y.
,
2017
, “
Missile Autopilot Design Based on Robust LPV Control
,”
J. Syst. Eng. Electron.
,
28
(
3
), pp.
536
545
.
18.
Leici
,
F. D. B. C.
, and
Leici
,
R. J. M. C.
,
2007
,
Wind Turbine Control Systems
,
Springer Verlag
,
London
.
19.
Shirazi
,
F. A.
,
Grigoriadis
,
K. M.
, and
Viassolo
,
D.
,
2012
, “
Wind Turbine Integrated Structural and LPV Control Design for Improved Closed-Loop Performance
,”
Int. J. Control
,
85
(
8
), pp.
1178
1196
.
20.
Bagherieh
,
O.
, and
Nagamune
,
R.
,
2015
, “
Gain-Scheduling Control of a Floating Offshore Wind Turbine Above Rated Wind Speed
,”
Control Theory Technol.
,
13
(
2
), pp.
160
172
.
21.
Szeidl
,
L.
,
Baranyi
,
P.
,
Petres
,
Z.
, and
Varlaki
,
P.
,
2007
, “
Numerical Reconstruction of the HOSVD Based Canonical Form of Polytopic Dynamic Models
,”
Third International Symposium on Computational Intelligence and Intelligent Informatics
, Agadir, Morocco, Mar. 28–30, pp.
111
116
.
22.
Jiang
,
W.
,
Wang
,
H.
,
Lu
,
J.
, and
Xie
,
Z.
,
2016
, “
HOSVD-Based LPV Modeling and Mixed Robust H2/H∞ Control Design for Air-Breathing Hypersonic Vehicle
,”
Syst. Eng. Electron.
,
27
(
1
), pp.
183
191
.https://ieeexplore.ieee.org/document/7424934
23.
Petres
,
Z.
,
2006
, “
Polytopic Decomposition of Linear Parameter-Varying Models by Tensor-Product Model Transformation
,”
Ph.D. thesis
, Budapest University of Technology and Economics, Budapest, Hungary.http://alpha.tmit.bme.hu/~petres/phd.pdf
24.
Likins
,
P. W.
,
1970
, “
Dynamics and Control of Flexible Space Vehicles
,” National Aeronautics and Space Administration, Pasadena, CA, JPL Technical Report No.
NASA-CR-105592, JPL-TR-32-1329
.https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19690026832.pdf
25.
Hamada
,
Y.
,
Ohtani
,
T.
,
Kida
,
T.
, and
Nagashio
,
T.
,
2006
, “
A New Gain Scheduling Controller Synthesis and Its Application to Attitude Control Systems of a Large Flexible Satellite
,”
IEEE
International Conference on Control Applications,
Munich, Germany, Oct. 4–6, pp.
2914
2920
.
26.
Hanifzadegan
,
M.
, and
Nagamune
,
R.
,
2015
, “
Tracking and Structural Vibration Control of Flexible Ballscrew Drives With Dynamic Variations
,”
IEEE/ASME Trans. Mechatronics
,
20
(
1
), pp.
133
142
.
27.
Kwon
,
S.
,
Shimomura
,
T.
, and
Okubo
,
H.
,
2011
, “
Pointing Control of Spacecraft Using Two SGCMGs Via LPV Control Theory
,”
Acta Astronaut.
,
68
(
7–8
), pp.
1168
1175
.
28.
Nagashio
,
T.
,
Kida
,
T.
,
Hamada
,
Y.
, and
Ohtani
,
T.
,
2014
, “
Robust Two-Degrees-of-Freedom Attitude Controller Design and Flight Test Result for Engineering Test Satellite-VIII Spacecraft
,”
IEEE Trans. Control Syst. Technol.
,
22
(
1
), pp.
157
168
.
You do not currently have access to this content.