Time‐Delay Effect on Dynamic Response of Actively Controlled Structures
Publication: Journal of Aerospace Engineering
Volume 5, Issue 4
Abstract
The effect of time‐delayed control signals on the stability and the dynamic response of actively controlled structures is investigated. The necessary optimal control law that takes the effect into account is derived using the variational approach. With the help of an example of a moment‐controlled simply supported beam subjected to a concentrated load, it is shown how time delay cannot only degrade the system response, but can also destabilize actively controlled structures. A gain‐compensating technique is proposed, and its use is illustrated with the help of the example. The results indicate that the effect of smaller values of time delay can be compensated for by applying additional energy, but the effects of higher values may not be compensated for, because of the prohibitively larger amounts of energy required in those situations.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Abdel‐Rohman, M. (1985). “Structural control considering time delay effect.” Trans. Canadian Soc. of Mech. Engrs., 9(4), 224–227.
2.
Aggarwal, J. K. (1970). “Computation of optimal control of time‐delay systems.” IEEE Trans. on Automatic Control, AC‐15(4), 683–685.
3.
Brogan, W. L. (1985). Modern control theory. Prentice‐Hall, Inc., Englewood Cliffs, N.J.
4.
Chung, L.‐L. (1987). “Analyses and experiments for practical application of active structural control,” PhD thesis, State University of New York at Buffalo, Buffalo, N.Y.
5.
Dhillon, S. S. (1989). “Boundary and in‐span automatic active control of simple and continuous span bridges,” PhD thesis, University of Waterloo, Waterloo, Canada.
6.
Eller, D. H., Aggarwal, J. K., and Banks, H. T. (1970). “Optimal control of linear time‐delay systems.” IEEE Trans. on Automatic Control, AC‐15(3), 678–687.
7.
Hammarstrom, L. G., and Gros, K. S. (1980). “Adaptation of optimal control theory to systems with time delay.” Int. J. Control, 32(2), 329–357.
8.
Hewer, G. J. (1973). “Observer theory for delayed differential equations.” Int. J. Control, 18(1), 1–7.
9.
Kirk, D. E. (1970). Optimal control theory—an introduction. Prentice‐Hall, Inc., Englewood Cliffs, N.J.
10.
Moler, C. B., and VanLoan, C. (1978). “Nineteen dubious methods to compute the exponential of a matrix.” SIAM Review, 20(4), 801–836.
11.
Ogunnaike, B. A. (1981). “A new approach to observer design for time‐delay systems.” Int. J. Control, 33(3), 519–542.
12.
Ross, D. W. (1971). “Controller design for time‐lag systems.” IEEE Trans. on Automatic Control, AC‐16(6), 664–672.
13.
Ross, D. W., and Flugge‐Lotz, I. (1969). “An optimal control problem for systems with difference‐differential equations.” SIAM J. on Control, 7(4), 609–623.
Information & Authors
Information
Published In
Journal of Aerospace Engineering
Volume 5 • Issue 4 • October 1992
Pages: 450 - 464
Copyright
Copyright © 1992 ASCE.
History
Published online: Oct 1, 1992
Published in print: Oct 1992
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.