Continuous-time identification of SISO systems using laguerre functions

IEEE Transactions on Signal Processing

Volumn 47, Issue 2, 1999, Pages 349-362

  Chou, Chun Tung ^a   Verhaegen, Michel ^a   Johansson, Rolf ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Asymptotic consistency; Continuous time systems; Fade approximation; Laguerre basis functions; Parameter estimation; System identification; Total least squares

Indexed keywords

ALGORITHMS; DISCRETE TIME CONTROL SYSTEMS; LEAST SQUARES APPROXIMATIONS; PARAMETER ESTIMATION; TRANSFER FUNCTIONS;

LAGUERRE BASIS FUNCTIONS; PADE APPROXIMATIONS; SINGLE-INPUT SINGLE-OUTPUT (SISO) SYSTEMS;

SIGNAL FILTERING AND PREDICTION;

EID: 0033079788     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.740121     Document Type: Article

References (22)

1. S. Bigi, T. Söderström, and B. Carlsson, "An IV-scheme for estimating continuous-time stochastic models from discrete-time data," in Proc. 10th IFAC Symp. Syst. Identification, Copenhagen, Denmark, 1994, vol. 3, pp. 645-650.
2. C. T. Chou, M. Verhaegen, and R. Johansson, "Continuous-time identification of SISO systems using Laguerre functions," Elect. Eng. Dept., Delft Univ. Technol., Tech. Rep. TUD/ET/SCE96.003, 1996.
3. J. W. Demmel, "The smallest perturbation of a submatrix which lowers the rank and constrained total least squares problems," SIAM J. Numer. Anal, vol. 24, no. 1, pp. 199-206, 1987.
4. G. H. Golub and C. F. Van Loan, Matrix Computations. Baltimore, MD: Johns Hopkins Univ. Press, 1983.
5. R. Johnasson, "Identification of continuous-time models," IEEE Trans. Signal Processing, vol. 42, pp. 887-897, 1994.
6. E. W. Kamen, Introduction to Signals and Systems, 2nd ed. New York: Macmillan, 1990.
7. R. F. F. Koning, C. T. Chou, M. H. G. Verhaegen, J. B. Klaassens, and J. R. Uittenbogaart, "A novel approach on parameter identification for inverter driven induction machines," IEEE Trans. Contr. Syst. Technol., to be published.
8. P. Lindskog, "Methods, algorithms and tools for system identification based on prior knowledge," Ph.D. dissertation, Linköping Univ., Linköping, Sweden, 1996.
9. R. H. Middleton and G. C. Goodwin, Digital Control and Estimation. Englewood Cliffs, NJ: Prentice-Hall, 1990.
10. M. Moonen, B. De Moor, and J. Vandewalle, "SVD-based subspace methods for multivariable continuous-time systems identification," in Identification of Continuous-time Systems, N. K. Sinha and G. P. Rao, Eds. Boston, MA: Kluwer, 1991, pp. 473-488.
11. P. P. Petrushev and V. A. Popov, Rational Approximation of Real Functions. Cambridge, U.K.: Cambridge Univ. Press, 1987.
12. R. Piche, personal communication.
13. S. Sagara and Z.-Y. Zhao, "Numerical integration approach to on-line identification of continuous-time systems," Automatica, vol. 26, no. 1, pp. 63-74, 1990.
14. J. Schoukens, "Modeling of continuous-time systems using a discretetime representation," Automatica, vol. 26, no. 3, pp. 579-583, 1990.
15. I. Stewart and D. Tall, Complex Analysis. Cambridge, U.K.: Cambridge Univ. Press, 1987.
16. H. Unbenhauen and G. P. Rao, "Continuous-time approach to system identification-A survey," Automatica, vol. 26, no. 1, pp. 23-35, 1990.
17. P. M. J. Van den Hof, P. S. C. Heuberger, and J. Bokor, "System identification with generalized orthonormal basis functions," Automatica, vol. 31, no. 12, pp. 1821-1834, 1995.
18. S. Van Huffel and H. Zha, "The restricted total least squares problem: Formulation, algorithm and properties," SIAM J. Matrix Anal. Appl., vol. 12, pp. 292-309, 1991.
19. M. Verhaegen, D. Westwick, and K. Kearney, "The use of bilinear transformation of the shift operator in subspace model identification," IEEE Trans. Automat. Contr., vol. 40, pp. 1422-1428, Aug. 1995.
20. B. Wahlberg, "System identification using Laguerre models," IEEE Trans Automat. Contr., vol. 36, pp. 551-562, May 1990.
21. "System identification using Kautz models," IEEE Trans. Automat. Contr., vol. 39, pp. 1276-1282, June 1994.
22. P. C. Young, "Parameter estimation for continuous-time models - A survey," Automatica, vol. 17, no. 1, pp. 23-39, 1981.