Adaptive tracking and recursive identification for Hammerstein systems

Automatica

Volumn 45, Issue 12, 2009, Pages 2773-2783

  Zhao, Wen Xiao ^a   Chen, Han Fu ^b  

^a TSINGHUA UNIVERSITY   (China)

^b INSTITUTE OF SYSTEMS SCIENCE   (China)

Author keywords

Adaptive tracking; Hammerstein system; Optimality; Recursive identification; Strong consistency; Weighted least squares

Indexed keywords

ADAPTIVE TRACKING; HAMMERSTEIN SYSTEM; OPTIMALITY; RECURSIVE IDENTIFICATION; STRONG CONSISTENCY; WEIGHTED LEAST SQUARES;

RECURSIVE FUNCTIONS;

EID: 70449672352     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2009.09.009     Document Type: Article

References (23)

1. Agarwal M., and Seborg D.E. Self-tuning controllers for nonlinear systems. Automatica 23 (1987) 209-214
2. Anbumani K., Patnaik L.M., and Sarma I.G. Self-tuning mininmun variance control of nonlinear systems of the Hammerstein model. IEEE Transactions on Automatic Control 26 (1981) 959-961
3. Bai E.W. An optimal two-stage identification algorithm for Hammerstein-Wiener nonlinear systems. Automatica 34 (1998) 333-338
4. Bai E.W., and Li D. Convergence of the iterative Hammerstein system identification algorithm. IEEE Transactions on Automatic Control 49 (2004) 1929-1940
5. Bercu B. Weighted estimation and tracking for ARMAX models. SIAM Journal on Control and Optimization 33 (1995) 89-106
6. Chang F.H.I., and Luus R. A noniterative method for identification using Hammerstein model. IEEE Transactions on Automatic Control 16 (1971) 464-468
7. Chaoui F.Z., Giri F., Rochdi Y., Haloua M., and Naitali A. System identification based on Hammerstein model. International Journal of Control 78 (2005) 430-442
8. Chen H.F. Stochastic approximation and its applications (2002), Kluwer, Dordrecht, The Netherland
9. Chen H.F. Pathwise convergence of recursive identification algorithms for Hammerstein systems. IEEE Transactions on Automatic Control 49 (2004) 1641-1649
10. Chen H.F. Strong consistency of recursive identification for Hammerstein systems with discontinuous piecewise-linear memoryless block. IEEE Transactions on Automatic Control 50 (2005) 1612-1617
11. Chen H.F. Regulator for Hammerstein and Wiener systems with noisy observations. IEEE Transactions on Automatic Control 52 (2007) 703-709
12. Chen H.F., and Guo L. Identification and stochastic adaptive control (1991), Birkhäuser, Boston, MA
13. Eskinat E., Johnson S., and Luyben W.L. Use of Hammerstein models in identification of nonlinear systems. Journal of American Institute of Chemical Engineering 37 (1991) 255-268
14. Goodwin G.C., and Sin K.S. Adaptive filtering, prediction and control (1984), Prentice-Hall, Englewood Cliffs, NJ
15. Greblicki W. Stochatic approximation in nonparametric identification of Hammerstein systems. IEEE Transactions on Automatic Control 47 (2002) 1800-1810
16. Guo L. Self-convergence of weighted least squares with applications to stochastic adaptive control. IEEE Transactions on Automatic Control 41 (1996) 79-89
17. Hunter I.W., and Korenberg M.J. The identification of nonlinear biological systems: Wiener and Hammerstein cascade models. Biological Cybernetics 55 (1986) 135-144
18. Kim J., and Konstantinou K. Digital predistortion of wideband signals based on power amplifier model with memory. IEE Electronics Letters 37 23 (2001) 1417-1418
19. Narendra K.S., and Gallman P.G. An iterative method for the identification of nonlinear systems using a Hammerstein model. IEEE Transactions on Automatic Control 11 (1966) 546-550
20. Samuelsson P., Norlander H., and Carlsson B. An integrating linearization method for Hammerstein models. Automatica 41 (2005) 1825-1828
21. Stoica P., and Söderström T. Instrumental-variable methods for identification of Hammerstein systems. International Journal of Control 35 3 (1982) 459-476
22. Wittenmark B. Adaptive control of a stochastic non-linear system: An example. International Journal of Adaptive Control and Signal Processing 7 (1993) 327-337
23. Zhao W.X., and Chen H.F. Recursive identification for Hammerstein systems with ARX subsystem. IEEE Transactions on Automatic Control 51 (2006) 1966-1974