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.
Issue Section:
Technical Papers
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.
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