Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-19T06:15:35.863Z Has data issue: false hasContentIssue false
  • English
  • Français

Vibration Control of a Beam Using the Nearly Optimal Control Algorithm with a Disturbance Force Observer

Published online by Cambridge University Press:  05 May 2011

Der-An Wang  and
Yii-Mai Huang
Der-An Wang*
Affiliation:
Department of Mechanical Engineering, National Central University, Chung-Li, Taiwan 32001, R.O.C
Yii-Mai Huang*
Affiliation:
Department of Mechanical Engineering, National Central University, Chung-Li, Taiwan 32001, R.O.C
*
* Graduate Student
** Professor
Get access

Abstract

Active vibration control of a flexible beam subjected to arbitrary, unmeasurable disturbance forces is investigated in this paper. The concept of independent modal space control is adopted. Both the feedforward and feedback control is implemented here to reduce the beam vibration. Because of the existence of the disturbance forces, the feedforward control is applied by employing the idea of force cancellation. A modal space disturbance force observer is then established in this paper to observe the disturbance modal forces for the feedforward control. For obtaining the feedforward and feedback control gains with the optimal sense, the nearly optimal control law is derived, where the modal disturbance forces are regarded as additional states. The vibration control performances and the asymptotic properties of the control law are discussed.

Keywords

Near optimal controlFeedforward and feedback controlDisturbance force observer
Type
Articles
Information
Journal of Mechanics , Volume 17 , Issue 4 , December 2001 , pp. 173 - 177
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2001

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1Balas, M. J., “Active Control of Flexible Systems,” Journal of Optimization Theory and Applications, 25, pp. 415–436 (1978).CrossRefGoogle Scholar
2Meirovitch, L. and Baruh, H., “Control of Self-Adjoint Distributed-Parameter Systems,” Journal of Guidance and Control, 5, pp. 60–66 (1982).CrossRefGoogle Scholar
3Meirovitch, L., Dynamics and Control of Structures, New York: John Wiley & Sons (1990).Google Scholar
4Seto, K., Doi, F. and Ren, M., “Vibration Control of Bridge Towers Using a Lumped Modeling Approach,” Transactions of the ASME Journal of Vibration and Acoustics, 121, pp. 95–100 (1999).Google Scholar
5Grewal, A. and Modi, V. J., “Robust Attitude and Vibration Control of the Space Station,” Acta Astronautica, 38(3), pp. 139–160 (1996).CrossRefGoogle Scholar
6Agrawal, B. N. and Bang, H., “Adaptive Structures for Large Precision Antennas,” Acta Astronautica, 38(3), pp. 175–183 (1996).CrossRefGoogle Scholar
7Friedland, B., Control System Design, New York: McGraw-Hill Book Company (1987).Google Scholar