Frequency domain identification of Hammerstein models

IEEE Transactions on Automatic Control

Volumn 48, Issue 4, 2003, Pages 530-542

  Bai, Er Wei ^a  

^a UNIVERSITY OF IOWA   (United States)

Author keywords

Hammerstein systems; Nonlinear systems; Parameter estimation; System identification

Indexed keywords

FREQUENCY DOMAIN ANALYSIS; HARMONIC ANALYSIS; LINEAR CONTROL SYSTEMS; NONLINEAR CONTROL SYSTEMS;

HAMMERSTEIN MODELS;

PARAMETER ESTIMATION;

EID: 0037396337     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2003.809803     Document Type: Review

References (26)

1. E. W. Bai, "Identification of linear systems with hard input nonlinearities of known structure," Automation, vol. 38, pp. 853-860, 2002.
2. _, "A blind approach to the Hammerstein-Wiener model identification," Automatica, vol. 38, pp. 967-979, 2002.
3. E. W. Bai and S. Raman, "A linear interpolatory algorithm for robust system identification with corrupted measurement data," IEEE Trans. Automat. Contr., vol. 38, pp. 1236-1241, Aug. 1993.
4. D. Bauer and B. Ninness, "Asymptotic properties of Hammerstein model estimates," in Proc. IEEE Conf. Decision Control, Sydney, Australia, 2000, pp. 2855-2860.
5. S. Baumgartner and W. Rugh, "Complete identification of a class of nonlinear systems from steady state frequency response," IEEE Trans. Circuits Syst., vol. CAS-22, pp. 753-759, Sept. 1975.
6. S. A. Billings and S. Y. Fakhouri, "Identification of a class of nonlinear systems using correlation analysis," Proc. Inst. Electr. Eng., vol. 125, pp. 691-697, July 1978.
7. M. Boutayeb, H. Rafaralahy, and M. Darouach, "A robust and recursive identification method for Hammerstein model," in Proc. IFAC World Congr., San Francisco, CA, 1996, pp. 447-452.
8. E. O. Brigham, The Fast Fourier Transform. Upper Saddle River, NJ: Prentice-Hall, 1974.
9. ∞ Approach. New York: Wiley, 2000.
10. P.Ph. Crama and J. Schoukens, "First estimates of Wiener and Hammerstein systems using multisine excitation," in Proc. IEEE Instrumentation Measurement Conf., Budapest, Hungary, 2001, pp. 1365-1369.
11. A. Gardiner, "Frequency domain identification of nonlinear systems," in 3rd IFAC Symp. Identification System Parameter Estimation, Hague, The Netherlands, 1973, pp. 831-834.
12. W. Greblicki, "Continuous-time Hammerstein system identification," IEEE Trans. Automat. Contr., vol. 45, pp. 1232-1236, June 2000.
13. W. Favoreel and B. De Moor, "Subspace identification of bilinear systems," IEEE Trans. Automat. Contr., vol. 44, pp. 1157-1165, June 1999.
14. A. Krzyzak, "On nonparametric estimation of nonlinear dynamic systems by the Fourier series estimate," Signal Processing, vol. 52, pp. 299-321, 1996.
15. E. C. Levi, "Complex curve fitting," IEEE Trans. Automat. Contr., vol. AC-4, pp. 37-43, Jan. 1959.
16. L. Ljung, System Identification: Theory for the Users, 2nd ed. Upper Saddle River, NJ: Prentice-Hall, 1999.
17. K. S. Narendra and P. G. Gallman, "An iterative method for the identification of nonlinear systems using a Hammerstein model," IEEE Trans. Automat. Contr., vol. AC-11, pp. 546-550, July 1966.
18. M. Pawlak, "On the series expansion approach to the identification of Hammerstein systems," IEEE Trans. Automat. Contr., vol. 36, pp. 763-767, June 1991.
19. R. Pintelon and J. Schoukens, System Identification: A Frequency Domain Approach. Piscataway, NJ: IEEE Press, 2001.
20. S. Rangan, G. Wolodkin, and K. Poolla, "Identification methods for Hammerstein systems," in Proc. Conf. Decision Control, New Orleans, LA, 1995, pp. 697-702.
21. P. Stoica, "On the convergence of an iterative algorithm used for Hammerstein system identification," IEEE Trans. Automat. Contr., vol. AC-26, pp. 967-969, Aug. 1981.
22. G. Tolstov, Fourier Series. Upper Saddle River, NJ: Prentice-Hall, 1962.
23. G. Vandersteen, Y. Rolain, and J. Schoukens, "Nonparametric estimation of the frequency-response function of the linear blocks of a Wiener-Hammerstein models," Automatica, vol. 33, pp. 1351-1355, 1997.
24. J. Voros, "Parameter identification of discontinuous Hammerstein systems," Automatica, vol. 33, no. 6, pp. 1141-1146, 1997.
25. D. Westwick and R. Kearney, "Separable least squares identification of nonlinear Hammerstein models: application to stretch reflex dynamics," Ann. Biomed. Eng., vol. 29, pp. 707-718, 2001.
26. L. Zadeh, "On the identification problem," IRE Trans Circuit Theory, vol. 3, pp. 277-281, 1956.