Revisiting Hammerstein system identification through the Two-Stage Algorithm for bilinear parameter estimation

Automatica

Volumn 45, Issue 11, 2009, Pages 2627-2633

  Wang, Jiandong ^a   Zhang, Qinghua ^b   Ljung, Lennart ^c  

^a PEKING UNIVERSITY   (China)

^b INRIA   (France)

^c LINKÖPING UNIVERSITY   (Sweden)

Author keywords

Bilinear equation; Hammerstein system; Nonlinear system identification; Two stage algorithm

Indexed keywords

BILINEAR EQUATION; BILINEAR PARAMETER ESTIMATION; COLORED NOISE; HAMMERSTEIN SYSTEM; NOISE WHITENING; NONLINEAR SYSTEM IDENTIFICATION; NUMERICAL EXAMPLE; OPTIMAL SOLUTIONS; OPTIMALITY; PARAMETERIZED; TWO-STAGE ALGORITHM; WEIGHTED NONLINEAR LEAST SQUARES; WEIGHTING MATRICES;

ALGORITHMS; NONLINEAR SYSTEMS; PARAMETER ESTIMATION; SECURITY SYSTEMS;

NONLINEAR EQUATIONS;

EID: 70349982584     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2009.07.033     Document Type: Article

References (25)

1. Abrahamsson R., Kay S., and Stoica P. Estimation of the parameters of a bilinear model with applications to submarine detection and system identification. Digital Signal Processing 17 (2007) 756-773
2. Bai E. An optimal two-stage identification algorithm for Hammerstein-Wiener nonlinear systems. Automatica 34 3 (1998) 333-338
3. Bai E., and Liu Y. Least squares solutions of bilinear equations. Systems & Control Letters 55 (2006) 466-472
4. Balestrino A., Landi A., Ould-Zmirli M., and Sani L. Automatic nonlinear auto-tuning method for Hammerstein modeling of electrical drives. IEEE Transactions on Industrial Electronics 48 3 (2001) 645-655
5. Barnet S. Matrices methods and applications. Oxford applied mathematics and computing sciences series (1990), Clarendon Press, Oxford
6. Chang F., and Luus R. A noniterative method for identification using Hammerstein model. IEEE Transactions on Automatic Control 16 5 (1971) 464-468
7. Cohen, S., & Tomasi, C. (1997). Systems of bilinear equations. Computer Science Dept., Stanford Univ., Stanford, CA
8. David B., and Bastin G. An estimator of the inverse covariance matrix and its application to ml parameter estimation in dynamical systems. Automatica 37 1 (2001) 99-106
9. Dempsey E., and Westwick D. Identification of Hammerstein models with cubic spline nonlinearities. IEEE Transactions on Biomedical Engineering 51 2 (2004) 237-245
10. Eskinat E., Johnson S., and Luyben W. Use of Hammerstein models in identification of nonlinear systems. AIChE Journal 37 2 (1991) 255-268
11. Goethals I., Pelckmans K., Suykens J., and Moor B.D. Identification of mimo Hammerstein models using least squares support vector machine. Automatica 41 (2005) 1263-1272
12. Gomez J., and Baeyens E. Identification of block-oriented nonlinear systems using orthonormal bases. Journal of Process Control 14 6 (2004) 685-697
13. Gomez J., and Baeyens E. Subspace-based identification algorithms for Hammerstein and wiener models. European Journal of Control 11 (2005) 127-136
14. Haber R., and Keviczky L. Nonlinear system identification: Input-output modeling approach (1999), Kluwer Academic Publishers, Dordrecht
15. Janczak A. Identification of nonlinear systems using neural networks and polynomial models: A block-oriented approach (2005), Springer-Verlag, New York
16. Jurado F. A method for the identification of solid oxide fuel cells using a Hammerstein model. Journal of Power Sources 154 1 (2006) 145-152
17. Ljung L. System identification: Theory for the user. 2nd ed. (1999), Prentice Hall, Englewood Cliffs, NJ
18. McKelvey, T., & Hanner, C. (2003). On identification of Hammerstein systems using excitation with a finite number of levels. In Proc. of the 13th international symp. on system identification (SYSID2003) (pp. 57-60)
19. Mzyk, G. (2000). Application of instrumental variable method to the identification of Hammerstein-Wiener systems. In 6th international conf. MMAR, Miedzyzdroje
20. Palanthandalam-Madapusi, H., Bernstein, D., & Ridley, A. (2006). Subspace identification of periodically switching Hammerstein-Wiener models for magnetospheric dynamics. In 14th IFAC symp. on system identification Newcastle, Australia, (pp. 535-540)
21. Palanthandalam-Madapusi, H., Ridley, A., & Bernstein, D. (2005). Identification and prediction of ionospheric dynamics using a Hammerstein-Wiener model with radial basis functions. In 2005 American control conf. Portland, OR, USA, (pp. 5052-5057)
22. Söderström T., and Stoica P. System identification (1989), Prentice Hall, London
23. Srinivasan R., Rengaswamy R., Narasimhan S., and Miller R. Control loop performance assessment. 2. Hammerstein model approach for stiction diagnosis. Industrial & Engineering Chemistry Research 44 17 (2005) 6719-6728
24. Sung S. System identification method for Hammerstein processes. Industrial & Engineering Chemistry Research 41 17 (2002) 4295-4302
25. Wang J., Sano A., Chen T., and Huang B. Identification of Hammerstein systems without explicit parameterization of nonlinearity. International Journal of Control 82 5 (2009) 937-952