TECHNICAL PAPERS
Dec 15, 2003

Wavelet-Hybrid Feedback-Least Mean Square Algorithm for Robust Control of Structures

This article is a reply.
VIEW THE ORIGINAL ARTICLE
Publication: Journal of Structural Engineering
Volume 130, Issue 1

Abstract

In a companion article, the writers presented a hybrid feedback-least mean square (LMS) algorithm for control of structures through integration of a feedback control algorithm such as the linear quadratic regulator and linear quadratic Gaussian algorithms and the filtered-x LMS algorithm. Low-pass filtering of dynamic environmental disturbance signals due to winds and earthquakes is required when the hybrid feedback-LMS algorithm is used for control of civil structures, because the frequency bandwidths of such environmental signals are much wider than those of common structural systems. In this paper, it is shown that the wavelet transform can be used as an effective filtering scheme for control problems. A wavelet-hybrid feedback-LMS algorithm is presented for robust control of civil structures. The effectiveness of the proposed control model is demonstrated by application to an active tuned mass damper system and an active mass driver benchmark problem. Simulation results demonstrate that the proposed model is effective for control of both steady and transient vibrations without any significant additional computational burden, and can be used readily to enhance the performance of existing feedback control algorithms.

Get full access to this article

View all available purchase options and get full access to this article.

References

Adeli, H., and Karim, A.(2000). “Fuzzy-wavelet RBFNN for Freeway Incident Detection.” J. Trans. Eng., 126(6), 464–471.
Adeli, H., and Saleh, A. (1999). Control, optimization, and smart structures—High-performance bridges and buildings of the future, Wiley, New York.
Adeli, H., and Samant, A.(2000). “An adaptive conjugate gradient neural network-wavelet model for traffic incident detection.” Comput. Aided Civ. Infrastruct. Eng., 15(4), 251–260.
Burrus, C. S., Gopinath, R. A., and Guo, H. (1998). Introduction to wavelets and wavelet transforms: A primer, Prentice-Hall, Upper Saddle River, N.J.
Chung, L. L., Lin, R. C., Soong, T. T., and Reinhorn, A. M.(1989). “Experimental study of active control for MDOF seismic structures.” J. Eng. Mech., 115(8), 1609–1627.
Daubechies, I. (1992). Ten lectures on wavelets, Society for Industrial and Applied Mathematics, Philadelphia.
Dyke, S. J., Spencer, B. F., Sain, M. K., and Carlson, J. D.(1996). “Modeling and control of magnetorheological dampers for seismic response reduction.” Smart Mater. Struct., 5(5), 565–575.
Karim, A., and Adeli, H.(2002a). “Comparison of fuzzy-wavelet radial basis function neural network freeway incident detection model with California algorithm.” J. Transp. Eng., 128(1), 21–30.
Karim, A., and Adeli, H.(2002b). “Incident detection algorithm using wavelet energy representation of traffic patterns.” J. Transp. Eng., 128(3), 232–242.
Kim, H., and Adeli, H.(2004). “Hybrid feedback-least mean square algorithm for structural control.” J. Struct. Eng., 130(1), 120–127.
Kurata, N., Kobori, T., Takahashi, M., Niwa, N., and Midorikawa, M.(1999). “Actual seismic response controlled building with semi-active damper system.” Earthquake Eng. Struct. Dyn., 28(11), 1427–1447.
Mallat, S. G.(1989). “A theory for multiresolution signal decomposition: The wavelet representation.” IEEE Trans. Pattern Anal. Mach. Intell., 11(7), 674–693.
MATLAB. (2000). Control system toolbox for use with Matlab, Mathworks Inc, Natick, Mass.
MATLAB SIMULINK. (1999). Dynamic system simulation for matlab, Mathworks Inc, Natick, Mass.
Meyer, Y. (1993). Wavelets: Algorithms and applications, Society for Industrial and Applied Mathematics, Philadelphia.
Newland, D. E. (1993). An introduction to random vibrations, spectral and wavelet analysis, Wiley, New York.
Prakah-Asante, K. O., and Craig, K. C.(1994). “The application of multi-channel design methods for vibration control of an active structure.” Smart Mater. Struct., 3(3), 329–343.
Rao, R. M., and Bopardikar, A. S. (1998). Wavelet transforms: Introduction to theory and applications, Addison-Wesley, Reading, Mass.
Samant, A., and Adeli, H.(2000). “Feature extraction for traffic incident detection using wavelet transform and linear discriminant analysis.” Comput. Aided Civ. Infrastruct. Eng., 15(4), 241–250.
Samant, A., and Adeli, H.(2001). “Enhancing neural network incident detection algorithms using wavelets.” Comput. Aided Civ. Infrastruct. Eng., 16(4), 239–245.
Spencer, B. F., Jr., Dyke, S. J., and Deoskar, H. S.(1998). “Benchmark problems in structural control. Part I: Active mass driver system.” Earthquake Eng. Struct. Dyn., 27(11), 1127–1139.
Wang, M. L., and Wu, F.(1995). “Structural system identification using least mean square (LMS) adaptive technique.” Soil Dyn. Earthquake Eng., 14(6), 409–418.
Wu, M., and Adeli, H.(2001). “Wavelet-neural network model for automatic traffic incident detection.” Math. Comput. Applications, 6(2), 85–96.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 130Issue 1January 2004
Pages: 128 - 137

History

Received: Jan 23, 2002
Accepted: Feb 20, 2003
Published online: Dec 15, 2003
Published in print: Jan 2004

Permissions

Request permissions for this article.

Authors

Affiliations

Hojjat Adeli, F.ASCE
Professor, Dept. of Civil and Environmental Engineering and Geodetic Science, The Ohio State Univ., 470 Hitchcock Hall, 2070 Neil Ave., Columbus, OH 43210-1275.
Hongjin Kim
Visiting Assistant Professor, Dept. of Architectural Engineering, Dankook Univ., Seoul, Korea.

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share