Rest to rest movement of a crane’s swinging load, at the bottom end of a cable, by moving a speed-limited gantry trolley at the top, involves resolving the apparently conflicting demands of exact load positioning and active swing damping. If system parameters are unknown beforehand, best existing strategies offer only asymptotic solutions. The proposed control strategy stops the load dead, exactly on target, in a finite time. It is robust and self-adapting. Using mechanical wave concepts, the gantry controller “learns” from the previously unknown dynamic response in the first part of the motion exactly how to terminate the motion. All results are verified numerically.

1.
Book
,
W. J.
,
1993
, “
Controlled Motion in an Elastic World
,”
ASME J. Dyn. Syst., Meas., Control
,
115
, pp.
252
261
.
2.
Vincent
,
T. L.
,
Joshi
,
S. P.
, and
Yeong
,
Ching Lin
,
1989
, “
Positioning and Active Damping of Spring-Mass Systems
,”
ASME J. Dyn. Syst., Meas., Control
,
111
, pp.
592
599
.
3.
Jayasuriya
,
S.
, and
Choura
,
S.
,
1991
, “
On the Finite Settling Time and Residual Vibration Control of Flexible Structures
,”
Journal of Sound and Vibration
,
148
(
1
), pp.
117
136
.
4.
Yamada
,
I.
, and
Nakagawa
,
M.
,
1985
, “
Reduction of Residual Vibration in Position Control Mechanisms
,”
ASME J. Vib., Acoust., Stress, Reliab. Des.
,
107
, pp.
47
52
.
5.
Preumont, A., 1997, “Vibration Control of Active Structures,” Kluwer Academic Publishers, Netherlands.
6.
Feliu
,
J. J.
,
Feliu
,
V.
, and
Cerrada
,
C.
,
1999
, “
Load Adaptive Control of Single-Link Flexible Arms Based on a New Modelling Technique
,”
IEEE Trans. Rob. Autom.
,
15
(
5
), pp.
793
804
.
7.
Singh
,
T.
, and
Heppler
,
G. R.
,
1993
, “
Shaped Input Control of a System With Multiple Modes
,”
ASME J. Dyn. Syst., Meas., Control
,
115
,
341
347
.
8.
Singhose, W. E., Singer, N. C., and Seering, W. P., 1994, “Design and Implementation of Time-Optimal Negative Input Shapes,” Proceedings of the 1994 International Mechanical Engineering Congress and Exposition, Chicago, IL, USA. ASME Dynamic Systems and Control Division (publication) DSC 55-1, pp. 151–157.
9.
Kamal
,
A. F. Moustafa
,
2001
, “
Reference Trajectory Tracking of Overhead Cranes
,”
ASME J. Dyn. Syst., Meas., Control
,
123
, pp.
139
141
.
10.
Rahn
,
C.
,
Zhang
,
F.
,
Joshi
,
S.
, and
Dawson
,
D.
,
1999
, “
Asymptotically Stabilizing Angle Feedback for a Flexible Cable Gantry Crane
,”
ASME J. Dyn. Syst., Meas., Control
,
121
(
3
), pp.
563
656
.
11.
Baicu
,
C. F.
,
Rahn
,
C. C.
, and
Nibali
,
B. D.
,
1996
, “
Active Boundary Control of an Elastic Cable
,”
Journal of Sound and Vibration
,
198
(
1
), pp.
17
26
.
12.
Saigo
,
M.
,
Tanaka
,
N.
, and
Tani
,
K.
,
1998
, “
An Approach to Vibration Control of Multiple-Pendulum System by Wave Absorption
,”
ASME J. Vibr. Acoust.
,
120
, pp.
524
533
.
13.
O’Connor
,
W. J.
, and
Lang
,
D.
,
1998
, “
Position Control of Flexible Robot Arms Using Mechanical Waves
,”
ASME J. Dyn. Syst., Meas., Control
,
120
(
3
), pp.
334
339
.
14.
Morse, P. M., and Ingard, K. U., 1968, “Theoretical Acoustics,” McGraw-Hill, pp. 95–104.
You do not currently have access to this content.