Systems that exhibit flexible dynamics are widespread and present a very challenging control problem when their performance is pushed to the limit. If there is some knowledge of the flexible modes, then command signals can be generated to negate the detrimental dynamics. These vibration-reducing commands are dependent on the feedback controller gains because the gains influence the flexible modes. This paper presents a method for concurrently designing a PD feedback controller and a command generator so that performance is optimized. The design method takes into account limits on allowable overshoot, residual vibration, and actuator effort. Furthermore, the structure of the method allows a wide range of performance requirements, such as disturbance rejection, to be integrated into the design. Results demonstrate that a PD controller cannot achieve the same performance as a PD controller augmented with a command generator.
Issue Section:
Technical Papers
1.
Smith
, O. J. M.
, 1957
, “Posicast Control of Damped Oscillatory Systems
,” Proceedings of the IRE
, 45
, Sept., pp. 1249
–1255
.2.
Tomizuka
, M.
, 1987
, “Zero Phase Error Tracking Algorithm for Digital Control
,” ASME J. Dyn. Syst., Meas., Control
, 109
, Mar., pp. 65
–68
.3.
Meckl
, P. H.
, and Seering
, W. P.
, 1990
, “Experimental Evaluation of Shaped Inputs to Reduce Vibration for a Cartesian Robot
,” ASME J. Dyn. Syst., Meas., Control
, 112
, June, pp. 159
–165
.4.
Singer
, N. C.
, and Seering
, W. P.
, 1990
, “Preshaping Command Inputs to Reduce System Vibration
,” ASME J. Dyn. Syst., Meas., Control
, 112
, Mar., pp. 76
–82
.5.
Jansen, J. F., 1992, Control and Analysis of a Single-Link Flexible Beam with Experimental Verification, ORNL/TM-12198, Oak Ridge National Laboratory.
6.
Magee, D. P., and Book, W. J., 1995, “Filtering Micro-Manipulator Wrist Commands to Prevent Flexible Base Motion,” American Control Conf., Seattle, WA, pp. 924–928.
7.
Feddema, J. T., 1993, “Digital Filter Control of Remotely Operated Flexible Robotic Structures,” American Control Conf., San Francisco, CA, Vol. 3, pp. 2710–2715.
8.
Noakes
, M. W.
, and Jansen
, J. F.
, 1992
, “Generalized Inputs for Damped-Vibration Control of Suspended Payloads
,” Rob. Auton. Syst.
, 10
(2
), pp. 199
–205
.9.
Singer, N., Singhose, W., and Kriikku, E., 1997, “An Input Shaping Controller Enabling Cranes to Move Without Sway,” ANS 7th Topical Meeting on Robotics and Remote Systems, Augusta, GA.
10.
Seth, N., Rattan, K., and Brandstetter, R., 1993, “Vibration Control of a Coordinate Measuring Machine,” IEEE Conf. on Control Apps., Dayton, OH, pp. 368–73.
11.
Singhose
, W.
, Singer
, N.
, and Seering
, W.
, 1996
, “Improving Repeatability of Coordinate Measuring Machines with Shaped Command Signals
,” Precis. Eng.
, 18
, Apr., pp. 138
–146
.12.
Jones
, S.
, and Ulsoy
, A. G.
, 1999
, “An Approach to Control Input Shaping with Application to Coordinate Measuring Machines
,” ASME J. Dyn. Syst., Meas., Control
, 121
, June, pp. 242
–247
.13.
Hillsley
, K. L.
, and Yurkovich
, S.
, 1993
, “Vibration Control of a Two-Link Flexible Robot Arm
,” J. of Dynamics and Control
, 3
, pp. 261
–280
.14.
Drapeau, V., and Wang, D., 1993, “Verification of a Closed-loop Shaped-input Controller for a Five-bar-linkage Manipulator,” IEEE Int. Conf. on Robotics and Automation, Atlanta, GA, Vol. 3, pp. 216–221.
15.
Murphy
, B. R.
, and Watanabe
, I.
, 1992
, “Digital Shaping Filters for Reducing Machine Vibration
,” IEEE Trans. Rob. Autom.
, 8
, Apr., pp. 285
–289
.16.
Park
, U. H.
, Lee
, J. W.
, Lim
, B. D.
, and Sung
, Y. G.
, 2001
, “Design and Sensitivity Analysis of an Input Shaping Filter in the Z-Plane
,” J. Sound Vib.
, 243
(1
), pp. 157
–171
.17.
Tuttle, T. D., and Seering, W. P., 1994, “A Zero-placement Technique for Designing Shaped Inputs to Suppress Multiple-mode Vibration,” American Control Conf., Baltimore, MD, Vol. 3, pp. 2533–2537.
18.
Pao
, L.
, and Lau
, M.
, 2000
, “Robust Input Shaper Control Design for Parameter Variations in Flexible Structures
,” ASME J. Dyn. Syst., Meas., Control
, 122
, Mar., pp. 63
–70
.19.
Singhose, W. E., Seering, W. P., and Singer, N. C., 1996, “Input Shaping for Vibration Reduction with Specified Insensitivity to Modeling Errors,” Japan-USA Sym. on Flexible Automation, Boston, MA.
20.
Singer, N. C., and Seering, W. P., 1992, “An Extension of Command Shaping Methods for Controlling Residual Vibration Using Frequency Sampling,” IEEE International Conference on Robotics and Automation, Nice, France, Vol. 1, pp. 800–805.
21.
Singhose
, W.
, Seering
, W.
, and Singer
, N.
, 1994
, “Residual Vibration Reduction Using Vector Diagrams to Generate Shaped Inputs
,” ASME J. Mech. Des.
, 116
, June, pp. 654
–659
.22.
Singhose
, W. E.
, Porter
, L. J.
, Tuttle
, T. D.
, and Singer
, N. C.
, 1997
, “Vibration Reduction Using Multi-Hump Input Shapers
,” ASME J. Dyn. Syst., Meas., Control
, 119
, June, pp. 320
–326
.Copyright © 2002
by ASME
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