An adaptive nonlinear synchronization control approach is developed for multiple spacecraft formation flying with elliptical reference orbits. It can guarantee that both the tracking errors and the synchronization errors of the relative positions converge to zero globally, even in the presence of uncertain parameters. The generalized synchronization concept allows us to design various synchronization errors so that different synchronization performance can be obtained. Simulation results of a leader-follower spacecraft pair and the maneuvering of multiple spacecraft in formation flying are presented to verify the effectiveness of the proposed control technique.

1.
Vassar
,
R. H.
, and
Sherwood
,
R. B.
, 1985, “
Formation Keeping for a Pair of Satellites in a Circular Orbit
,”
J. Guid. Control Dyn.
0731-5090,
8
(
2
), pp.
235
242
.
2.
Carpenter
,
J. R.
, 2002, “
Decentralized Control of Satellite Formations
,”
Int. J. Robust Nonlinear Control
1049-8923,
12
(
2–3
), pp.
141
161
.
3.
Vadali
,
S. R.
,
Vaddi
,
S. S.
, and
Alfriend
,
K. T.
, 2002, “
An Intelligent Control Concept for Formation Flying Satellites
,”
Int. J. Robust Nonlinear Control
1049-8923,
12
(
2–3
), pp.
97
115
.
4.
de Queiroz
,
M. S.
,
Kapila
,
V.
, and
Yan
,
Q.
, 2000, “
Adaptive Nonlinear Control of Multiple Spacecraft Formation Flying
,”
J. Guid. Control Dyn.
0731-5090,
23
(
3
), pp.
385
390
.
5.
Wong
,
H.
, and
Kapila
,
V.
, 2003, “
Adaptive Learning Control-Based Periodic Trajectory Tracking for Spacecraft Formations
,” in
Proceedings of the 42nd IEEE Conference on Decision and Control
, pp.
3597
3602
.
6.
Kang
,
W.
,
Sparks
,
A.
, and
Banda
,
S.
, 2001, “
Coordinated Control of Multisatellite Systems
,”
J. Guid. Control Dyn.
0731-5090,
24
(
2
), pp.
360
368
.
7.
Wang
,
P. K. C.
,
Hadaegh
,
F. Y.
, and
Lau
,
K.
, 1999, “
Synchronized Formation Rotation and Attitude Control of Multiple Free-Flying Spacecraft
,”
J. Guid. Control Dyn.
0731-5090,
22
(
1
), pp.
28
35
.
8.
Koren
,
Y.
, 1980, “
Cross-Coupled Biaxial Computer Controls for Manufacturing Systems
,”
ASME J. Dyn. Syst., Meas., Control
0022-0434,
102
(
2
), pp.
256
272
.
9.
Sun
,
D.
, 2003, “
Position Synchronization of Multiple Motion Axes With Adaptive Coupling Control
,”
Automatica
0005-1098,
39
(
6
), pp.
997
1005
.
10.
Dawson
,
D. M.
,
Hu
,
J.
, and
Burg
,
T. C.
, 1998,
Nonlinear Control of Electric Machinery
,
Marcel Dekker
.
11.
Khalil
,
H.
, 1996,
Nonlinear Systems
, 2nd ed.
Prentice-Hall
.
You do not currently have access to this content.