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TECHNICAL BRIEFS

Minimizing the Effect of Out of Bandwidth Modes in Truncated Structure Models

[+] Author and Article Information
S. O. Reza Moheimani

Department of Electrical and Computer Engineering and the Centre for Integrated Dynamics and Control, University of Newcastle, NSW, Australiareza@ee.newcastle.edu.au

J. Dyn. Sys., Meas., Control 122(1), 237-239 (Aug 11, 1998) (3 pages) doi:10.1115/1.482470 History: Received August 11, 1998
Copyright © 2000 by ASME
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References

Meirovitch, L. 1986, Elements of Vibration Analysis, 2nd Edition, McGraw-Hill, Sydney.
Fraser, A. R., and Daniel, R. W., 1991, Perturbation Techniques for Flexible Manipulators, Kluwer Academic Publishers, MA.
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Bisplinghoff, R. L., and Ashley, H., 1962, Principles of Aeroelasticity, Dover Publications, New York.
Clark,  R. L., 1997, “Accounting for Out-of-Bandwidth Modes in the Assumed Modes Approach: Implications on Colocated Output Feedback Control,” ASME J. Dyn. Syst., Meas., Control, 119, pp. 390–395.
Zhu,  X., and Alberts,  T. A., 1998, “Appending a Synthetic Mode to Compensate for Truncated Modes in Coliocated Control,” Proc. of AIAA GNC, Boston.
Pota,  H. R., and Alberts,  T. E., 1995, “Multivariable Transfer Functions for a Slewing Piezoelectric Laminate Beam,” ASME J. Dyn. Syst., Meas., Control, 117, pp. 353–359.
Alberts,  T. E., DuBois,  T. V., and Pota,  H. R., 1995, “Experimental Verification of Transfer Functions for a Slewing Piezoelectric Laminate Beam,” Control. Eng., 3, pp. 163–170.
Pota,  H. R., and Alberts,  T. E., 1997, “Vibration Analysis Using Symbolic Computation Software,” Proc. of the 1997 American Control Conference, Albuquerque, NM, pp. 1400–1401.
Moheimani,  S. O. R., Petersen,  I. R., and Pota,  H. R., 1997, “Broadband Disturbance Attenuation over an Entire Beam,” Proc. European Control Conference, Brussels, Belgium, to appear in the J. Sound. Vib.
Moheimani,  S. O. R., Pota,  H. R., and Petersen,  I. R., 1999, “Spatial Balanced Model Reduction for Flexible Structures,” Automatica, 35, pp. 269–277.
Moheimani,  S. O. R., Pota,  H. R., and Petersen,  I. R., 1997, “Active Vibration Control—A Spatial LQR Approach,” Proc. Control 97, Sydney, Australia, pp. 622–627.
Moheimani,  S. O. R., Pota,  H. R., and Petersen,  I. R., 1998, “Active Control of Noise and Vibration in Acoustic Ducts and Flexible Structures—A Spatial Control Approach,” Proc. of the 1998 American Control Conference, Philadelphia, PA, pp. 2601–2605.
Lewis, F. L., 1992, Applied Optimal Control and Estimation, Prentice Hall, New Jersey.

Figures

Grahic Jump Location
A simply supported flexible beam
Grahic Jump Location
Comparison of the frequency responses of the thirty mode model of the beam with its two mode model and a two mode model with a correcting zero-frequency term

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