Parametric identification of parallel wiener systems

IEEE Transactions on Instrumentation and Measurement

Volumn 61, Issue 10, 2012, Pages 2825-2832

  Schoukens, Maarten ^a   Rolain, Yves ^a  

^a VRIJE UNIVERSITEIT BRUSSEL   (Belgium)

Author keywords

Best linear approximation (BLA); block structure; generalized Wiener; nonlinear system; parallel structure; system identification

Indexed keywords

FREQUENCY RESPONSE; IDENTIFICATION (CONTROL SYSTEMS); NONLINEAR PROGRAMMING; NONLINEAR SYSTEMS; RATIONAL FUNCTIONS;

BEST LINEAR APPROXIMATIONS; BLOCK STRUCTURES; FREQUENCY RESPONSE FUNCTIONS; GENERALIZED WIENERS; LINEAR LEAST SQUARES ESTIMATIONS; MULTIPLE INPUT SINGLE OUTPUTS; NONLINEAR OPTIMIZATION METHODS; PARALLEL STRUCTURES;

PARAMETER ESTIMATION;

EID: 84866502485     PISSN: 00189456     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIM.2012.2193689     Document Type: Article

References (29)

1. L. Ljung, "Perspectives on system identification," Annu. Rev. Control, vol. 34, no. 1, pp. 1-12, 2010.
2. F. Giri and E. W. Bai, Eds. , Block-Oriented Nonlinear System Identification, 1st ed. New York: Springer-Verlag, 2010.
3. S. A. Billings and S. Y. Fakhouri, "Identification of systems containing linear dynamic and static nonlinear elements," Automatica, vol. 18, no. 1, pp. 15-26, Jan. 1982. (Pubitemid 12511906)
4. T. Wigren, "Recursive prediction error identification using the nonlinear Wiener model," Automatica, vol. 29, no. 4, pp. 1011-1025, Jul. 1993. (Pubitemid 23690867)
5. J. Schoukens, J. G. Nemeth, P. Crama, Y. Rolain, and R. Pintelon, "Fast approximate identification of nonlinear systems," Automatica, vol. 39, no. 7, pp. 1267-1274, Jul. 2003.
6. D. T. Westwick and R. E. Kearney, "Separable least squares identification of nonlinear Hammerstein models: Application to stretch reflex dynamics," Ann. Biomed. Eng. , vol. 29, no. 8, pp. 707-718, Aug. 2001. (Pubitemid 32827297)
7. P. Crama, J. Schoukens, and R. Pintelon, "Generation of enhanced initial estimates for Hammerstein systems," Automatica, vol. 40, no. 7, pp. 1269-1273, Jul. 2004.
8. P. Gallman, "Iterative method for identification of nonlinear-systems using a Uryson model," IEEE Trans. Autom. Control, vol. 20, no. 6, pp. 771- 775, Dec. 1975.
9. M. J. Korenberg, "Parallel cascade identification and kernel estimation for nonlinear systems," Ann. Biomed. Eng. , vol. 19, no. 4, pp. 429-455, Jul. 1991.
10. D. T. Westwick and R. E. Kearney, "Generalized eigenvector algorithm for nonlinear system identification with non-white inputs," Ann. Biomed. Eng. , vol. 25, no. 5, pp. 802-814, Sep. 1997.
11. D. Silveira, M. Gadringer, H. Arthaber, and G. Magerl, "RF-power amplifier characteristics determination using parallel cascadeWiener models and pseudo-inverse techniques," in Proc. APMC, 2005, pp. 204-208.
12. A. Y. Kibangou and G. Favier, "Identification of parallel-cascade Wiener systems using joint diagonalization of third-order Volterra kernel slices," IEEE Signal Process. Lett. , vol. 16, no. 3, pp. 188-191, Mar. 2009.
13. M. Schoukens, R. Pintelon, and Y. Rolain, "Parametric identification of parallel Hammerstein systems," IEEE Trans. Instrum. Meas. , vol. 60, no. 12, pp. 3931-3938, Dec. 2011.
14. R. Pintelon and J. Schoukens, System Identification. A Frequency Domain Approach. Piscataway, NJ: IEEE-Press, 2001.
15. J. Schoukens, J. Lataire, R. Pintelon, and G. Vandersteen, "Robustness issues of the equivalent linear representation of a nonlinear system," IEEE Trans. Instrum. Meas. , vol. 58, no. 5, pp. 1737-1745, May 2009.
16. T. Dobrowiecki, J. Schoukens, and P. Guillaume, "Optimized excitation signals for MIMO frequency response function measurements," IEEE Trans. Instrum. Meas. , vol. 55, no. 6, pp. 2072-2079, Dec. 2006. (Pubitemid 46438187)
17. J. Schoukens, T. Dobrowiecki, and R. Pintelon, "Parametric and nonparametric identification of linear systems in the presence of nonlinear distortions. A frequency domain approach," IEEE Trans. Autom. Control, vol. 43, no. 2, pp. 176-190, Feb. 1998. (Pubitemid 128736464)
18. M. Enqvist, "Linear models of nonlinear systems," Ph. D. dissertation, Inst. Technology, Linköping Univ. , Linköping, Sweden, 2005.
19. M. Enqvist and L. Ljung, "Linear approximations of nonlinear FIR systems for separable input processes," Automatica, vol. 41, no. 3, pp. 459- 473, Mar. 2005.
20. J. S. Bendat and A. G. Piersol, Engineering Applications of Correlations and Spectral Analysis. New York: Wiley, 1980.
21. T. D'haene, R. Pintelon, J. Schoukens, and E. Van Gheem, "Variance analysis of frequency response function measurements using periodic excitations," IEEE Trans. Instrum. Meas. , vol. 54, no. 4, pp. 1452-1456, Aug. 2005. (Pubitemid 41100679)
22. R. Pintelon, J. Schoukens, G. Vandersteen, and K. Barbé, "Estimation of nonparametric noise and FRF models for multivariable systems-Part I: Theory," Mech. Syst. Signal Process. , vol. 24, no. 3, pp. 573-595, Apr. 2010.
23. J. Schoukens, R. Pintelon, G. Vandersteen, and P. Guillaume, "Frequencydomain system identification using non-parametric noise models estimated from a small number of data sets," Automatica, vol. 33, no. 6, pp. 1073-1086, Jun. 1997.
24. T. Soderstrom, M. Hong, J. Schoukens, and R. Pintelon, "Accuracy analysis of time domain maximum likelihood method and sample maximum likelihood method for errors-in-variables and output error identification," Automatica, vol. 46, no. 4, pp. 721-727, Apr. 2010.
25. G. H. Golub and C. F. Van Loan, Matrix Computations, 3rd ed. Baltimore, MD: The Johns Hopkins Univ. Press, 1996.
26. M. Schoukens and Y. Rolain, "Cross-term elimination in parallel Wiener systems using a linear input transformation," IEEE Trans. Instrum. Meas. , vol. 61, no. 3, pp. 845-847, Mar. 2012.
27. D. Marquardt, "An algorithm for least-squares estimation of nonlinear parameters," SIAM J. Appl. Math. , vol. 11, no. 2, pp. 431-441, 1963.
28. R. Fletcher, Practical Methods of Optimization, 2nd ed. Hoboken, NJ: Wiley, 1991.
29. Analog Devices, Inc. , AD8307: Low Cost DC-500 MHz, 92 dB Logarithmic Amplifier, Norwood, MA, 1999.