A new deterministic identification approach to Hammerstein systems

IEEE Transactions on Signal Processing

Volumn 62, Issue 1, 2014, Pages 131-140

  Yu, Chengpu ^a   Zhang, Cishen ^b   Xie, Lihua ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^b SWINBURNE UNIVERSITY OF TECHNOLOGY   (Australia)

Author keywords

Blind identification; Hammerstein systems; Oversampling operation; Polyphase decomposition

Indexed keywords

ELECTRONICS ENGINEERING; SIGNAL PROCESSING;

BLIND IDENTIFICATIONS; HAMMERSTEIN SYSTEM; IDENTIFICATION APPROACH; NONLINEAR FUNCTIONS; NUMERATOR POLYNOMIALS; OVER SAMPLING; OVER-SAMPLING RATES; POLY-PHASE DECOMPOSITIONS;

NONLINEAR SYSTEMS;

EID: 84897893213     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2013.2286103     Document Type: Article

References (34)

1. L. Ljung, System Identification: Theory for the User, 2nd ed. Upper Saddle River, NJ, USA: PTR Prentice-Hall, 1999.
2. B. Ding and X. Ping, "Dynamic output feedback model predictive control for nonlinear systems represented by Hammerstein-Wiener model," J. Process Control, vol. 22, pp. 1773-1784, Oct 2012.
3. K. Kang and J. V. R. Prasad, "Development and flight test evaluations of an autonomous obstacle avoidance system for a rotary-wing UAV," Unmanned Syst., vol. 01, no. 01, pp. 3-19, 2013.
4. A. N. Kopeikin, S. S. Ponda, L. B. Johnson, and J. P. How, "Dynamic mission planning for communication control in multiple unmanned aircraft teams," Unmanned Syst., vol. 01, no. 01, pp. 41-58, 2013.
5. J. Jeraj and V. Mathews, "A stable adaptive Hammerstein filter employing partial orthogonalization of the input signals," IEEE Trans. Signal Process., vol. 54, pp. 1412-1420, Apr. 2006.
6. R. Srinivasan, R. Rengaswamy, S. Narasimhan, and R. Miller, "Control loop performance assessment. 2. Hammerstein model approach for stiction diagnosis," Indust. Eng. Chem. Res., vol. 44, pp. 6719-6728, Aug. 2005. (Pubitemid 41239819)
7. F. Giri and E.-W. Bai, Block-Oriented Nonlinear System Identification. Berlin, Germany: Springer-Verlag, 2010.
8. Z. Cai and E.-W. Bai, "Making parametric Hammerstein system identification a linear problem," Automatica, vol. 47, pp. 1806-1812, Aug. 2011.
9. F. Ding, X. P. Liu, and G. Liu, "Identification methods for Hammerstein nonlinear systems," Digit. Signal Process., vol. 21, pp. 215-238, Mar 2011.
10. Y. Han and R. A. de Callafon, "Hammerstein system identification using nuclear norm minimization," Automatica, vol. 48, pp. 2189-2193, Sep. 2012.
11. V. Cerone, D. Piga, and D. Regruto, "Bounded error identification of Hammerstein systems through sparse polynomial optimization," Automatica, vol. 48, pp. 2693-2698, Oct. 2012.
12. K. Narendra and P. Gallman, "An iterative method for identification of nonlinear systems using a Hammerstein model," IEEE Trans. Autom. Control, vol. AC11, no. 3, p. 546, 1966.
13. J. Voros, "Parameter identification of discontinuous Hammerstein systems," Automatica, vol. 33, pp. 1141-1146, Jun. 1997. (Pubitemid 127414482)
14. I. J. Umoh and T. Ogunfunmi, "An affine projection-based algorithm for identification of nonlinear Hammerstein systems," Signal Process., vol. 90, pp. 2020-2030, Jun. 2010.
15. Y. Liu and E.-W. Bai, "Iterative identification of Hammerstein systems," Automatica, vol. 43, pp. 346-354, Feb. 2007. (Pubitemid 46037595)
16. G. Li and C. Wen, "Convergence of normalized iterative identification of Hammerstein systems," Syst. Control Lett., vol. 60, pp. 929-935, Nov. 2011.
17. E. Bai, "An optimal two-stage identification algorithm for Hammerstein-Wiener nonlinear systems," Automatica, vol. 34, pp. 333-338, Mar. 1998. (Pubitemid 128413973)
18. J. Voros, "Modeling and identification of systems with backlash," Automatica, vol. 46, pp. 369-374, Feb 2010.
19. W. Greblicki, "Nonlinearity estimation in Hammerstein systems based on ordered observations," IEEE Trans. Signal Process., vol. 44, pp. 1224-1233, May 1996. (Pubitemid 126776468)
20. P. Koukoulas and N. Kalouptsidis, "Blind identification of second order Hammerstein series," Signal Process., vol. 83, pp. 213-234, Jan. 2003. (Pubitemid 35349861)
21. L. Vanbeylen, R. Pintelon, and J. Schoukens, "Blind maximum likelihood identification of Hammerstein systems," Automatica, vol. 44, pp. 3139-3146, Dec. 2008.
22. L. Sun, W. Liu, and A. Sano, "Identification of a dynamical system with input nonlinearity," Proc. Inst. Electr. Eng.-Control Theory Appl., vol. 146, pp. 41-51, Jan. 1999.
23. E. Bai and M. Fu, "A blind approach to Hammerstein model identification," IEEE Trans. Signal Process., vol. 50, pp. 1610-1619, Jul. 2002. (Pubitemid 34882681)
24. J. Wang, A. Sano, D. Shook, T. Chen, and B. Huang, "A blind approach to closed-loop identification of Hammerstein systems," Int. J. Control, vol. 80, pp. 302-313, Feb. 2007.
25. E. Bai, Q. Li, and S. Dasgupta, "Blind identifiability of IIR systems," Automatica, vol. 38, pp. 181-184, Jan. 2002. (Pubitemid 33034551)
26. P. P. Vaidyanathan, S.-M. Phoong, and Y.-P. Lin, Signal Processing and Optimization for Transceiver Systems. Cambridge, U.K.: Cambridge Univ. Press, 2010.
27. G. Xu, H. Liu, L. Tong, and T. Kailath, "A least-squares approach to blind channel identification," IEEE Trans. Signal Process., vol. 43, pp. 2982-2993, Dec. 1995.
28. Y. Zhang and H. Asada, "Blind system identification of noncoprime multichannel systems and its application to noninvasive cardiovascular monitoring," Trans. ASME J. Dyn. Syst. Meas. Control, vol. 126, pp. 834-847, Dec 2004. (Pubitemid 40496640)
29. C. Yu, C. Zhang, and L. Xie, "Blind identification of non-minimum phase ARMA systems," Automatica, vol. 49, pp. 1846-1854, Jun. 2013.
30. S. Kung, T. Kailath, and M. Morf, "A generalized resultant matrix for polynomial matrices," in Proc. IEEE Conf. Decision Control 15th Symp. Adapt. Processes, Dec. 1976, vol. 15, pp. 892-895.
31. E. Moulines, P. Duhamel, J. Cardoso, and S. Mayraggue, "Subspace methods for the blind identification of multichannel FIR filters," IEEE Trans. Signal Process., vol. 43, pp. 516-525, Feb. 1995.
32. C. Yu, C. Zhang, and L. Xie, "Blind identification of multi-channel ARMA models based on second-order statistics," IEEE Trans. Signal Process., vol. 60, pp. 4415-4420, Aug. 2012.
33. W. Qiu, Y. Hua, and K. Abed Meraim, "A subspace method for the computation of the GCD of polynomials," Automatica, vol. 33, pp. 741-743, Apr. 1997. (Pubitemid 127417113)
34. C. Yu, C. Zhang, and L. Xie, "Blind system identification using precise and quantized observations," Automatica, vol. 49, pp. 2822-2830, Sep. 2013.