Strong consistency of recursive identification for Hammerstein systems with discontinuous piecewise-linear memoryless block

IEEE Transactions on Automatic Control

Volumn 50, Issue 10, 2005, Pages 1612-1617

  Chen, Han Fu ^a  

^a INSTITUTE OF SYSTEMS SCIENCE   (China)

Author keywords

Hammerstein system; Least squares; Parametric approach; Recursive estimation; Strong consistency

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; MATRIX ALGEBRA; PARAMETER ESTIMATION; PIECEWISE LINEAR TECHNIQUES; RANDOM PROCESSES;

HAMMERSTEIN SYSTEM; PARAMETRIC APPROACH; RECURSIVE ESTIMATION; STRONG CONSISTENCY;

IDENTIFICATION (CONTROL SYSTEMS);

EID: 27644527579     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2005.856658     Document Type: Article

References (17)

1. E. W. Bai, "Identification of linear systems with hard input nonlinearities of known structurexr," Automatica, vol. 38, no. 5, pp. 853-860, 2002.
2. E. W. Bai, "Frequency domain identification of Hammerstein models," IEEE Trans. Autom. Control, vol. 48, no. 4, pp. 530-542, Apr. 2003.
3. H. Al-Duwaish and M. N. Karim, "A new method for the identification of Hammerstein model," Automatica, vol. 33, no. 10, pp. 1871-1875, 1997.
4. F. H. I. Chang and R. Luus, "A noniterative method for identification using Hammerstein model," IEEE Trans. Autom. Control, vol. AC-16, no. 10, pp. 465-468, Oct. 1971.
5. H. F. Chen, Stochastic Approximation and Its Applications. Dordrecht, The Netherlands: Kluwer, 2002.
6. H. F. Chen, "Path-wise convergence of recursive identification algorithms for Hammerstein systems," IEEE Trans. Automat. Control, vol. 49, no. 10, pp. 1641-1649, Oct. 2004.
7. H. F. Chen and L. Guo, Identgication and Stochastic Adaptive Control. Boston, MA: Birkhäuser, 1991.
8. Y. S. Chow and H. Teicher, Probability Theory. New York: Springer-Verlag, 1978.
9. P. Crama and J. Schoukens, "Initial estimates of Wiener and Hammerstein systems using multisine excitation," IEEE Trans. Instrum. Meas., vol. 50, no. 6, pp. 1791-1795, Dec. 2001.
10. W. Greblicki, "Stochastic approximation in nonparametric identification of Hammerstein systems," IEEE Trans. Autom. Control, vol. 47, no. 11, pp. 1800-1810, Nov. 2002.
11. W. Greblicki and M. Pawlak, "Nonparametric identification of Hammertein systems," IEEE Trans. Inform. Theory, vol. 35, no. 3, pp. 409-418, Mar. 1989.
12. Z. Q. Lang, "A nonparametric polynomial identification algorithm for the Hammerstein system," IEEE Trans. Autom. Control, vol. 42, no. 10, pp. 1435-1441, Oct. 1997.
13. H. E. Liao and W. A. Sethares, "Suboptimal identification of nonlinear ARMA models using an orthogonality approach," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 42, no. 1, pp. 14-22, Jan. 1995.
14. L. Ljung, System Identification. Upper Saddle River, NJ: Prentice-Hall, 1987.
15. M. Pawlak, "On the series expansion approach to the identification of Hammertein system," IEEE Trans. Autom. Control, vol. 36, no. 6, pp. 763-767, Jun. 1991.
16. P. Stoica and T. Söderstrom, "Instrumental-variable methods for identification of Hammerstein systems," Int. J. Control, vol. 35, no. 3, pp. 459-476, 1982.
17. J. Vörös, "Recursive identification of Hammerstein systems with discontinuous nonlinearities containing dead-zones," IEEE Trans. Autom. Control, vol. 48, no. 12, pp. 2203-2206, Dec. 2003.