This paper presents a simple analysis evaluating the stability threshold for magnetically levitated flexible structures using dissipative colocated controllers. It is shown that with such a control structure, the controller that stabilizes a rigid levitated mass can also stabilize a simple flexible structure with the same overall mass and electrodynamics. Experimental and simulation results are presented to validate this conclusion.

References

1.
Britcher
,
C.
, 1985, “
Progress Towards Magnetic Suspension and Balance Systems for Large Wind Tunnels
,”
J. Aircr.
,
22
(
4
), pp.
264
269
.
2.
M.
Ono
,
S.
Koga
, and
H.
Ohtsuki
, 2002, “
Japan’s Superconducting Maglev Train
,”
IEEE Instrum. Meas. Mag.
,
5
(
1
), pp.
9
15
.
3.
Hanasoge
,
A.
,
Hans
,
S.
,
Bawab
,
S.
,
Hou
,
G.
, and
Alberts
,
T.
, 2005, “
Effects of Track Irregularities on Dynamic Responses of a Moving Maglev Train
,”
Proceedings of the SAE International Conference
,
Detroit, MI
.
4.
Siebert
,
M.
,
Ebihara
,
B.
,
Jansen
,
R.
,
Fusaro
,
R.
,
Morales
,
W.
,
Kascak
,
A.
,
Kenny
,
A.
,
Siebert
,
M.
,
Ebihara
,
B.
, and
Jansen
,
R.
, 2002, “
A Passive Magnetic Bearing Flywheel
,” NASA/TM-2002-211159.
5.
Sinha
,
P. K.
, 1986,
Electrodynamic Suspension: Dynamics and Control (IEEE Control Engineering Series 30)
,
Peregrinus, the Institution of Electrical Engineers
,
London, UK
.
6.
Yao.
,
J. D.
, 2009, “
Response of a Maglev Vehicle Moving on a Series of Guideways With Differential Settlement
,”
J. Sound Vib.
,
324
, pp.
816
831
.
7.
Hägele
,
N.
, and
Dignath
,
F.
, 2009, “
Vertical Dynamics of the Maglev Vehicle Transrapid
,”
J. Multibody Syst. Dyn.
,
21
(
3
), pp.
213
231
.
8.
Limbert
,
A.
,
Richardson
,
H. H.
, and
Wormley
,
D. N.
, 1976, “
Controlled Dynamic Characteristics of Ferromagnetic Vehicle Suspension Providing Simultaneous Lift and Guidance
,”
J. Dyn. Syst., Meas., Control
,
101
, pp.
217
222
.
9.
Goodall
,
R. M.
, 1985, “
The Theory of Electromagnetic Levitation
,”
Phys. Technol.
,
16
(
5
), pp.
207
221
.
10.
Ogata
,
K.
, 1970,
Modern Control Engineering
,
Prentice-Hall
,
Englewood Cliffs, NJ
.
11.
Joshi
,
S. M.
, 1989,
Control of Large Flexible Space Structures
,
Springer-Verlag
,
Berlin
.
12.
West-Vukovich
,
G. S.
, and
Davison
,
E. J.
, 1984, “
The Decentralized Control of Large Flexible Space Structures
,”
IEEE. Trans. Autom. Control
,
29
(
10
), pp.
866
879
.
13.
Davey
,
K.
,
Morris
,
T.
,
Britcher
,
C.
,
Tola
,
R.
, and
McCune
,
M.
, 2001, “
The Old Dominion University/American Maglev Demonstration System
,”
Proceedings of the 6th International Symposium on Magnetic Suspension Technology
,
Turin, Italy
.
14.
Hanasoge
,
A. M.
,
Omran
,
A. F.
, and
Alberts
,
T. E.
, 2008, “
Model Validation of a Magnetic Ball Levitation System
,”
Proceedings of the ASME Dynamic Systems and Control Conference
, Oct. 20–22,
Ann Arbor, Michigan
.
15.
Hanasoge
,
A.
, 2009, “
Stability Analysis, Modeling, Simulation and Experimental Testing of an EMS Maglev System With Structural Flexibility
,” Ph.D. dissertation, Old Dominion University, VA.
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