An Algorithm for State-Space Frequency Domain Identification Without Windowing Distortions

IEEE Transactions on Automatic Control

Volumn 39, Issue 9, 1994, Pages 1880-1885

  Bayard, David S ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ERRORS; FLEXIBLE STRUCTURES; FREQUENCY DOMAIN ANALYSIS; IDENTIFICATION (CONTROL SYSTEMS); MATHEMATICAL MODELS; STATE SPACE METHODS;

ESTIMATION ERROR; HIGH ORDER SYSTEMS; WINDOWING DISTORTION;

ALGORITHMS;

EID: 0028499922     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/9.317117     Document Type: Article

References (30)

1. J. L. Adcock, “Curve fitter for pole-zero analysis,” Hewlett-Packard J., Jan. 1987.
2. D. S. Bayard, “Multivariable state-space identification in the delta and shift operators: Algorithms and experimental results,” in Proc. Am. Contr. Conf., San Francisco, CA, June 1993, pp. 3038–3042.
3. D. S. Bayard, “Statistical plant set estimation using Schroeder-phased multisinusoidal input design,” J. Applied Mathematics and Computation, vol. 58, pp. 169–198, 1993.
4. D. S. Bayard, “Multivariable frequency-domain identification via two-norm minimization,” in Proc. Am. Contr. Conf., Chicago, IL, June 1992, pp. 1253–1257.
5. D. S. Bayard, F. Y. Hadaegh, Y. Yam, R. E. Scheid, E. Mettler, and M. H. Milman, “Automated on-orbit frequency-domain identification for large space structures,” Automatica, vol. 27, no. 6, pp. 931–946, 1991.
6. D. S. Bayard, Y. Yam, and E. Mettler, “A criterion for joint optimization of identification and robust control,” IEEE Trans. Automat. Contr., vol. 37, no. 7, pp. 986–991, July 1992.
7. R. L. Dailey and M. S. Lukich, “MIMO transfer function curve-fitting using Chebyshev polynomials,” in Proc. SIAM 35th Anniversary Meeting, Denver, CO, 1987.
8. P. Guillaume, J. Schoukens, R. Pintelon, and I. Kollar, “Crest-factor minimization using nonlinear Chebyshev approximation methods,” IEEE Trans. Instr. Meas., vol. 40, no. 6, Dec. 1991.
9. B. L. Ho and R. E. Kalman, “Efficient construction of linear state variable models from input-output functions,” Regelungstechnik, vol. 14, pp. 545–548, 1966.
10. J. N. Juang and H. Suzuki, “An eigensystem realization algorithm in frequency-domain for modal parameter identification,” J. Vibration, Acoustics, Stress Reliability Design, vol. 110 no. 1, pp. 24–29, Jan. 1988.
11. J. N. Juang and R. S. Pappa, “An eigensystem realization algorithm for modal parameter identification and model reduction,” J. Guidance, Contr. Dynamics, vol. 8, no. 5, 620–627, Sept./Oct. 1985.
12. J. N. Juang, J. E. Cooper, and J. R. Wright, “An eigensystem realization algorithm using data correlations (ERADC) for modal parameter identification,” J. Contr. Theory and Adv. Tech., vol. 4, no. 1, pp. 5–14, March 1988.
13. J. N. Juang, M. Phan, L. G. Horta, and R. W. Longman, “Identification of observer/Kalman filter Markov parameters: Theory and experiments,” presented at the AIAA Guidance, Navigation & Contr. Conf., New Orleans, LA, Aug. 1991, Paper AIAA-91-2735-CP.
14. S. Y. Kung, “A new identification and model reduction algorithm via singular value decomposition,” in Proc. 12th Asilomar Conf on Cir, Syst. Computers, Pacific Grove, CA, Nov. 1978, pp. 705–714.
15. W. E. Larimore, “System identification, reduced-order filtering and modelling via Canonical Variate Analysis,” in Proc. Am. Contr. Conf., June 1983, pp. 445–451.
16. W. E. Larimore, “Canonical Variate Analysis in identification, filtering and adaptive control,” in Proc. Conf. Dec. and Contr., Honolulu, HI, Dec. 1990, pp. 596–604.
17. P. L. Lin and Y. C. Wu, “Identification of multi-input multi-output linear systems from frequency response data,” Trans. ASME, J. Dynam, Syst., Meas., Contr., vol. 104, Mar. 1982.
18. M. Moonen, B. De Moor, L. Vandenberghe, and J. Vanderwalle, “On and off-line identification of linear state-space models,” Int. J. Contr., vol. 49, vol. 1, pp. 219–232, 1988.
19. A. B. Oppenheim and R. W. Schafer, Digital Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1975.
20. A. J. Laub and J. N. Little, Control system toolbox: Users' guide, version 2.2, The MathWorks, Inc., Aug. 1986.
21. M. Phan, L. G. Horta, J. N. Juang, and R. W. Longman, “Linear system identification via an asymptotically stable observer,” AIAA Guidance, Navigation & Contr. Conf, New Orleans, LA, Aug. 1991, Paper AIAA-91-2734.
22. C. K. Sanathanan and J. Koerner, “Transfer function synthesis as a ratio of two complex polynomials,” IEEE Trans. Automat. Contr., vol. 8, pp. 56–58, 1963.
23. M. R. Schroeder, “Synthesis of low peak-factor signals and binary sequences of low auto-correlation,” IEEE Trans. Info. Theory, vol. 16, pp. 85–89, Jan. 1970.
24. J. T. Spanos, “Algorithms for I2 and l∞ transfer function curve-fitting,” AIAA Guidance, Navigation & Contr. Conf, New Orleans, LA, Aug. 1991.
25. J. Schoukens, R. Pintelon, E. Van Der Ouderaa, and J. Renneboog, “Survey of excitation signals for FFT based signal analyzers,” IEEE Trans. Instr. Meas., vol. 37, no. 3, Sept. 1988.
26. J. Vlach, Computerized Approximation and Synthesis of Linear Networks. New York: Wiley, 1969.
27. A. H. Whitfield, “Asymptotic behaviour of transfer function synthesis methods,” Int. J. Contr., vol. 45, no. 3, pp. 1083–1092, March 1987.
28. J. H. Wilkinson, Rounding Errors in Algebraic Processes. Englewood Cliffs, NJ: Prentice-Hall, 1963.
29. P. Young and R. J. Patton, “Comparison of test signals for aircraft frequency-domain identification,” AIAA J. Guidance, Contr. Dynamics, vol. 13, no. 3, pp. 430–438, May-June 1990.
30. D. S. Bayard, “An algorithm for state-space frequency-domain identification without windowing distortions,” in Proc. IEEE Conf Decis. Contr., Tuscon, AZ, Dec. 1992, pp. 1707–1712.