On-line version of the eigensystem realization algorithm using data correlations

Journal of Guidance, Control, and Dynamics

Volumn 20, Issue 1, 1997, Pages 137-142

  Cooper, J E ^a,b,c,d,e  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

^b UNIVERSITY OF LONDON   (United Kingdom)

^c Royal Aerospace Establishment   (United Kingdom)

^d UNIVERSITY OF LEUVEN   (Belgium)

^e AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; CORRELATION METHODS; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; RECURSIVE FUNCTIONS; TIME DOMAIN ANALYSIS; TIME VARYING CONTROL SYSTEMS;

DECAY RESPONSE; EIGENSYSTEM REALIZATION ALGORITHM (ERA);

IDENTIFICATION (CONTROL SYSTEMS);

EID: 0030732799     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/2.4007     Document Type: Article

References (26)

1. Juang, J.-N., "Mathematical Correlation of Modal Parameter Identification Methods Via System Realisation Theory," International Journal of Analytical and Experimental Modal Analysis, Vol. 1, No. 2, 1987, pp. 1-18.
2. Cooper, J. E., "Comparison of Some Time Domain System Identification Methods Using Approximate Data Correlations," International Journal of Analytical and Experimental Modal Analysis, Vol. 4, No. 1, 1989, pp. 51-57.
3. Cooper, J. E., and Wright, J. R., "Data Correlations in Matrix Methods for Modal Identification," Proceedings of the 9th International Modal Analysis Conference (Florence, Italy), Society for Engineering Mechanics and Union College, 1991.
4. Juang, J.-N., and Pappa, R. S., "An Eigensystem Realisation Algorithm (ERA) for Modal Parameter Identification and Model Reduction," Journal of Guidance, Control, and Dynamics, Vol. 8, No. 5, 1985, pp. 260-267.
5. Juang, J.-N., Cooper, J. E., and Wright, J. R., "An Eigensystem Realisation Algorithm Using Data Correlations (ERA/DC) for Modal Parameter Identification," Control - Theory and Advanced Technology, Vol. 4, No. 1, 1988, pp. 5-14.
6. Lew, J.-S., Juang, J.-N., and Longman, R. W., "Comparison of Several System Identification Methods for Flexible Structures," Journal of Sound and Vibration, Vol. 167, No. 3, 1993, pp. 461-480.
7. Cooper, J. E., and Wright, J. R., "Spacecraft In-Orbit Identification Using Eigensystem Realisation Methods," Journal of Guidance, Control, and Dynamics, Vol. 15, No. 2, 1992, pp. 352-359.
8. Ljung, L., and Soderstrom, T., Theory and Practice of Recursive Identification, MIT Press, Cambridge, MA, 1983.
9. Ljung, L., and Gunnarsson, S., "Adaption and Tracking in System Identification - A Survey," Automatica, Vol. 26, No. 1, 1990, pp. 7-21.
10. Betros, R. S., Steffen, N. R., and Triller, M. J., "ARMA Models for Real Time System Identification of Smart Structures," Proceedings of the 1st European Conference on Smart Structures and Materials (Aachen, Germany), Deutsche Gesellschaft für Luft- und Raumfahrt, 1992, pp. 309-312.
11. Cooper, J. E., "Identification of Time Varying Modal Parameters," Aeronautical Journal, Vol. 94, Oct. 1990, pp. 271-278.
12. Cooper, J. E., and Worden, K., "Identification of the Time Varying Parameters of a Structural System," Proceedings of the 4th International Conference on Recent Advances in Structural Dynamics (Southampton, England, UK), Elsevier Applied Sciences, London, 1991, pp. 493-503.
13. Cooper, J. E., and Worden, K., "Experimental Identification of Time Varying Structural Systems," Proceedings of the International Forum on Aeroelasticity and Structural Dynamics (Aachen, Germany), Deutsche Gesellschaft für Luft- und Raumfahrt, 1991, pp. 178-185.
14. Davies, P., "A Recursive Approach to Prony Parameter Estimation," Journal of Sound and Vibration, Vol. 167, No. 3, 1983, pp. 571-583.
15. Cremona, C. F., and Brandon, J. A., "On Recursive Forms of Damped Complex Exponential Methods," Mechanical Systems and Signal Processing, Vol. 6, No. 3, 1992, pp. 261-274.
16. Moonen, M., Van Dooren, P., and Vandewalle, J., "A Singular Value Decomposition Updating Algorithm for Subspace Tracking," SIAM Journal of Matrix Analysis and Applications, Vol. 13, No. 4, 1992, pp. 1015-1038.
17. Longman, R. W., and Juang, J.-N., "Recursive Form of the Eigensystem Realization Algorithm (ERA) for System Identification," Journal of Guidance, Control, and Dynamics, Vol. 12, No. 5, 1989, pp. 647-652.
18. Abdelghani, M., Le Rohellec, F., and Crosnier, B., "Modal Analysis and Identification of Time Varying Structures," Proceedings of the International Seminar on New Advances in Modal Synthesis of Large Structures: Non-Linear, Damped and Non-Deterministic Cases (Lyon, France), 1995, pp. 3-14.
19. Davies, P., and Hammond, J. K., "A Comparison of Fourier and Parametric Methods for Structural System Identification," Journal of Vibration, Acoustics, Stress and Reliability in Design, Vol. 106, 1984, pp. 40-48.
20. Liang, Z., and Inman, D., "Rank Decomposition Method in Modal Analysis," Proceedings of the 6th International Modal Analysis Conference (Kissimmee, FL), Society for Engineering Mechanics and Union College, 1988, pp. 1176-1179.
21. Cooper, J. E., "On-line Eigensystem Realisation Methods," Proceedings of the 19th International Seminar on Modal Analysis (Leuven, Belgium), 1994, pp. 1253-1258.
22. Golub, G. H., and Van Loan, C. F, Matrix Computations, Johns Hopkins Univ. Press, Baltimore, MD, 1989.
23. Fortescue, T. R., Kershenbaum, L. S., and Ydstie, B. E., "Implementation of Self-Tuning Regulators with Variable Forgetting Factors," International Journal of Control, Vol. 34, No. 3, 1981, pp. 831-835.
24. Wellstead, P. E., and Sanoff, S. P., "Extended Self-Tuning Algorithm," International Journal of Control, Vol. 34, No. 3, 1981, pp. 433-455.
25. Andersson, P., "Adaptive Forgetting in Recursive Identification Through Multiple Models," International Journal of Control, Vol. 42, No. 5, 1985, pp. 1175-1193.
26. Cooper, J. E., and Worden, K., "Adaptive Forgetting Factors for Online Identification," Conference on Modern Practice in Stress and Vibration Analysis, Sheffield Academic, Sheffield, England, UK, 1993, pp. 545-556.