Identification of Wiener-type nonlinear systems in a noisy environment

International Journal of Control

Volumn 66, Issue 6, 1997, Pages 923-941

  Kalafatis, A D ^a   Wang, L ^a   Cluett, W R ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

CHEMICAL VARIABLES CONTROL; CONTROL NONLINEARITIES; FREQUENCY RESPONSE; MATHEMATICAL MODELS; NONLINEAR CONTROL SYSTEMS; PH;

INPUT EXCITATION SIGNALS; LINEAR SUBSYSTEMS; PH NEUTRALIZATION CONTINUOUS STIRRED TANK REACTORS; STATIC NONLINEARITIES; WIENER SYSTEMS;

IDENTIFICATION (CONTROL SYSTEMS);

EID: 0031120493     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/002071797224469     Document Type: Article

References (22)

1. Billings, S. A., and Fakhouri, S., 1978, Identification of a class of nonlinear systems using correlation analysis. Proceedings of the Institution of Electrical Engineers, 125, 691-697.
2. Billings, S. A., and Fakhouri, S., 1982, Identification of systems containing linear dynamic and static nonlinear elements. Automatica, 18, 15-26.
3. Bitmead, R. R., and Anderson, B., 1981, Adaptive frequency sampling filters. IEEE Transactions on Circuits and Systems, 28, 524-534.
4. Chang, F. H. I., and Luus, R., 1971, A noniterative method for identification using Hammerstein model. IEEE Transactions on Automatic Control, 16, 464-468.
5. de Boor, C., 1978, A Practical Guide to Splines, vol. 27 of Applied Mathematical Sciences (New York: Springer-Verlag).
6. Dierckx, P., 1993, Curve and Surface Fitting with Splines (New York: Oxford University Press).
7. Goberdhansingh, E., Wang, L., and Cluett, W. R., 1992, Robust frequency domain identification. Chemical Engineering Science, 47, 1989-1999.
8. Greblicki, W., 1994, Nonparametric identification of Wiener systems by orthogonal series. IEEE Transactions on Automatic Control, 39, 2077-2086.
9. Gustafsson, T. K., and Waller, K. V., 1983, Dynamic modeling and reaction invariant control of pH. Chemical Engineering Science, 38, 389-398.
10. Hunter, I., and Korenberg, M. J., 1986, Identification of nonlinear biological systems: Wiener and Hammerstein models. Biological Cybernetics, 55, 135-144.
11. Kalafatis, a., 1992, Identification and robust control of a pH reactor. Master’s thesis, University of Toronto, Ontario, Canada.
12. Kalafatis, A., Arifin, N., Wang, L., and Cluett, W. R., 1995, A new approach to identification of pH processes based on the Wiener model. Chemical Engineering Science, 50, 3693-3701.
13. Korenberg, M. J., Billings, S. A., Liu, Y. P., and MeIlroy, P., 1988, Orthogonal parameter estimation algorithm for non-linear stochastic systems. International Journal of Control, 48, 193-210.
14. Niemi, A. J., and Jutila, P., 1977, pH control by linear algorithms. Digital Computer Applications to Process Control, edited by Van Nauta Lemke (New York: IFAC/ North-Holland), pp. 289-297.
15. Pajunen, G. A., 1992, Adaptive control of Wiener type nonlinear systems. Automatica, 28, 781-785.
16. Rabiner, L. R., and Gold, B., 1975, Theory and Application of Digital Signal Processing (Englewood Cliffs, New Jersey, U.S.A.: Prentice Hall).
17. Soderstrom, T., and Stoica, P., 1989, System Identification (New York: Prentice Hall).
18. TUlleken, H. J. A. F., 1990, Generalized binary noise test-signal concept for improved identification-experiment design. Automatica, 26, 37-49.
19. Wang, L., and Cluett, W. R., 1994, A more efficient way to estimate step response coefficients using the FSF model. Proceedings of the American Control Conference, Baltimore, Maryland, U.S.A., pp. 532-535; 1996a, Use of PRESS residuals in dynamic system identification. Automatica, 32, 781-784; 1996b, Frequency sampling filters: an improved model structure for step response identification. Proceedings of the 13th World Congress of IFAC, San Francisco, California, U.S.A., Vol. I, pp. 411-416 (also to appear in Automatica, 33).
20. Wigren, T., 1993, Recursive prediction error identification using the nonlinear Wiener model. Automatica, 29, 1011-1025.
21. Wright, R. a., and Kravaris, C., 1991, Nonlinear control of pH processes using the strong acid equivalent. Industrial and Engineering Chemistry Research, 30, 1561-1572.
22. Ziegler, J. G., and Nichols, N. B., 1942, Optimum settings for automatic controllers. Transactions of the American Society of Mechanical Engineers, 64, 759-768.