메뉴 건너뛰기




Volumn 54, Issue 4, 2009, Pages 820-825

Wavelet amendment of polynomial models in hammerstein systems identification

Author keywords

Hammerstein system; Nonlinear system identification; Order statistics; Polynomial models; Semiparametric approach; Wavelet bypass; Wavelet regression estimate

Indexed keywords

HAMMERSTEIN SYSTEM; NONLINEAR SYSTEM IDENTIFICATION; ORDER STATISTICS; POLYNOMIAL MODELS; SEMIPARAMETRIC APPROACH; WAVELET BYPASS; WAVELET REGRESSION ESTIMATE;

EID: 67349277130     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2008.2009620     Document Type: Article
Times cited : (16)

References (42)
  • 1
    • 0019082388 scopus 로고
    • Identification of non-linear systems - A survey
    • S. A. Billings, "Identification of non-linear systems - A survey," Proc. IEE, vol. 127, no. 6, pp. 272-285, 1980.
    • (1980) Proc. IEE , vol.127 , Issue.6 , pp. 272-285
    • Billings, S.A.1
  • 2
    • 0019899613 scopus 로고
    • Identification of systems containing linear dynamic and static non-linear elements
    • S. A. Billings and S. Y. Fakhouri, "Identification of systems containing linear dynamic and static non-linear elements," Automatica, vol. 18, pp. 15-26, 1982.
    • (1982) Automatica , vol.18 , pp. 15-26
    • Billings, S.A.1    Fakhouri, S.Y.2
  • 6
    • 9744263347 scopus 로고    scopus 로고
    • Convergence of the iterative Hammerstein system identification algorithm
    • Nov
    • E. W. Bai and D. Li, "Convergence of the iterative Hammerstein system identification algorithm," IEEE Trans. Automat. Control, vol. 49, no. 11, pp. 1929-1940, Nov. 2004.
    • (2004) IEEE Trans. Automat. Control , vol.49 , Issue.11 , pp. 1929-1940
    • Bai, E.W.1    Li, D.2
  • 7
    • 4344636960 scopus 로고    scopus 로고
    • Combined parametric-nonparametric identification of Hammerstein systems
    • Aug
    • Z. Hasiewicz and G. Mzyk, "Combined parametric-nonparametric identification of Hammerstein systems," IEEE Trans. Automat. Control vol. 49, no. 8, pp. 1370-1375, Aug. 2004.
    • (2004) IEEE Trans. Automat. Control , vol.49 , Issue.8 , pp. 1370-1375
    • Hasiewicz, Z.1    Mzyk, G.2
  • 8
    • 30344461864 scopus 로고    scopus 로고
    • Identification of Hammerstein systems with time-varying piecewise-linear characteristics
    • Dec
    • J. Vörös, "Identification of Hammerstein systems with time-varying piecewise-linear characteristics," IEEE Trans. Circuits Syst. II: Express Briefs, vol. 52, no. 12, pp. 865-869, Dec. 2005.
    • (2005) IEEE Trans. Circuits Syst. II: Express Briefs , vol.52 , Issue.12 , pp. 865-869
    • Vörös, J.1
  • 9
  • 10
    • 0001227575 scopus 로고
    • Additive regression and other nonparametric models
    • C. J. Stone, "Additive regression and other nonparametric models," Annals Stat., vol. 13, no. 2, pp. 689-705, 1985.
    • (1985) Annals Stat , vol.13 , Issue.2 , pp. 689-705
    • Stone, C.J.1
  • 11
    • 0003428336 scopus 로고
    • Cambridge, U.K, Cambridge University Press, Online, Available
    • W. Härdle, Applied Nonparametric Regression. Cambridge, U.K.: Cambridge University Press, 1990 [Online]. Available: http:// www.quantlet.com/mdstat/scripts/anr/pdf/anrpdf.pdf
    • (1990) Applied Nonparametric Regression
    • Härdle, W.1
  • 14
    • 0028514192 scopus 로고
    • Dynamic system identification with order statistics
    • Sep
    • W. Greblicki and M. Pawlak, "Dynamic system identification with order statistics," IEEE Trans. Inform. Theory, vol. 40, no. 5, pp. 1474-1489, Sep. 1994.
    • (1994) IEEE Trans. Inform. Theory , vol.40 , Issue.5 , pp. 1474-1489
    • Greblicki, W.1    Pawlak, M.2
  • 15
    • 0030145769 scopus 로고    scopus 로고
    • Nonlinearity estimation in Hammerstein systems based on ordered observations
    • May
    • W. Greblicki, "Nonlinearity estimation in Hammerstein systems based on ordered observations," IEEE Trans. Signal Processing, vol. 44, no. 5, pp. 1224-1233, May 1996.
    • (1996) IEEE Trans. Signal Processing , vol.44 , Issue.5 , pp. 1224-1233
    • Greblicki, W.1
  • 16
    • 0001913578 scopus 로고
    • Wavelets on closed subsets of the real line
    • L. L. Schumaker and G. Webb, Eds. Boston, MA: Academic Press, Online].Available
    • L. Andersson, N. Hall, B. Jawerth, and G. Peters, "Wavelets on closed subsets of the real line," in Topics in the Theory and Applications of Wavelets, L. L. Schumaker and G. Webb, Eds. Boston, MA: Academic Press, 1993, p. 60 [Online].Available: http://citeseer.ist.psu.edu/3753.html
    • (1993) Topics in the Theory and Applications of Wavelets , pp. 60
    • Andersson, L.1    Hall, N.2    Jawerth, B.3    Peters, G.4
  • 17
    • 0027840161 scopus 로고
    • Wavelet bases on the interval and fast algorithms
    • A. Cohen, I. Daubechies, and P. Vial, "Wavelet bases on the interval and fast algorithms," J. Appl. Computat. Harmonic Anal., vol. 1, no. 1, pp. 54-81, 1993.
    • (1993) J. Appl. Computat. Harmonic Anal , vol.1 , Issue.1 , pp. 54-81
    • Cohen, A.1    Daubechies, I.2    Vial, P.3
  • 19
    • 4444303702 scopus 로고    scopus 로고
    • Automatic polynomial wavelet regression
    • T. C. M. Lee and H.-S. Oh, "Automatic polynomial wavelet regression," Stat. Comput., vol. 14, pp. 337-341, 2004.
    • (2004) Stat. Comput , vol.14 , pp. 337-341
    • Lee, T.C.M.1    Oh, H.-S.2
  • 20
    • 84948605684 scopus 로고
    • Non-linear identification in the presence of the correlated noise using Hammerstein model
    • Oct
    • N. D. Haist, F. H. L. Chang, and R. Luus, "Non-linear identification in the presence of the correlated noise using Hammerstein model," IEEE Trans. Automat. Control, vol. 18, no. 5, pp. 552-555, Oct. 1973.
    • (1973) IEEE Trans. Automat. Control , vol.18 , Issue.5 , pp. 552-555
    • Haist, N.D.1    Chang, F.H.L.2    Luus, R.3
  • 21
    • 0034741652 scopus 로고    scopus 로고
    • Separable least squares identification of nonlinear Hammerstein models: Application to stretch reflex dynamics
    • D. T. Westwick and R. E. Kearney, "Separable least squares identification of nonlinear Hammerstein models: Application to stretch reflex dynamics," Annal. Biomed. Eng., vol. 29, no. 8, pp. 707-718, 2001.
    • (2001) Annal. Biomed. Eng , vol.29 , Issue.8 , pp. 707-718
    • Westwick, D.T.1    Kearney, R.E.2
  • 22
    • 0022440372 scopus 로고
    • Identification of discrete Hammerstein system using kernel regression estimates
    • Jan
    • W. Greblicki and M. Pawlak, "Identification of discrete Hammerstein system using kernel regression estimates," IEEE Trans. Automat. Control, vol. AC-31, no. 1, pp. 74-77, Jan. 1986.
    • (1986) IEEE Trans. Automat. Control , vol.AC-31 , Issue.1 , pp. 74-77
    • Greblicki, W.1    Pawlak, M.2
  • 23
    • 0032155666 scopus 로고    scopus 로고
    • Nonlinear system identification by the Haar multiresolution analysis
    • Sep
    • M. Pawlak and Z. Hasiewicz, "Nonlinear system identification by the Haar multiresolution analysis," IEEE Trans. Circuits Syst. I, vol. CAS-45, no. 9, pp. 945-961, Sep. 1998.
    • (1998) IEEE Trans. Circuits Syst. I , vol.CAS-45 , Issue.9 , pp. 945-961
    • Pawlak, M.1    Hasiewicz, Z.2
  • 24
    • 0037113764 scopus 로고    scopus 로고
    • Identification of non-linear characteristics of a class of block-oriented non-linear systems via Daubechies wavelet-based models
    • Z. Hasiewicz and P. Śliwiński, "Identification of non-linear characteristics of a class of block-oriented non-linear systems via Daubechies wavelet-based models," Int. J. Syst. Sci., vol. 33, no. 14, pp. 1121-1144, 2002.
    • (2002) Int. J. Syst. Sci , vol.33 , Issue.14 , pp. 1121-1144
    • Hasiewicz, Z.1    Śliwiński, P.2
  • 25
    • 14644425945 scopus 로고    scopus 로고
    • Non-parametric identification of non-linearities in block-oriented complex systems by orthogonal wavelets with compact support
    • Jan
    • Z. Hasiewicz, M. Pawlak, and P. Śliwiński, "Non-parametric identification of non-linearities in block-oriented complex systems by orthogonal wavelets with compact support," IEEE Trans. Circuits Syst. I, vol. 52, no. 1, pp. 427-442, Jan. 2005.
    • (2005) IEEE Trans. Circuits Syst. I , vol.52 , Issue.1 , pp. 427-442
    • Hasiewicz, Z.1    Pawlak, M.2    Śliwiński, P.3
  • 27
    • 67349242811 scopus 로고    scopus 로고
    • Non-parametric identification of non-linearity in Hammerstein system
    • Rotterdam, The Netherlands, Aug. 26-28
    • W. Greblicki and P. Śliwiński, "Non-parametric identification of non-linearity in Hammerstein system," in Proc. 3th IFAC Symp. Syst. Identification SYSID-2003, Rotterdam, The Netherlands, Aug. 26-28, 2003, pp. 60-65.
    • (2003) Proc. 3th IFAC Symp. Syst. Identification SYSID-2003 , pp. 60-65
    • Greblicki, W.1    Śliwiński, P.2
  • 28
    • 39649106100 scopus 로고    scopus 로고
    • Computational algorithms for wavelet identification of nonlinearities in Hammerstein systems with random inputs
    • Feb
    • P. Śliwiński and Z. Hasiewicz, "Computational algorithms for wavelet identification of nonlinearities in Hammerstein systems with random inputs," IEEE Trans. Signal Processing, vol. 56, no. 2, pp. 846-851, Feb. 2008.
    • (2008) IEEE Trans. Signal Processing , vol.56 , Issue.2 , pp. 846-851
    • Śliwiński, P.1    Hasiewicz, Z.2
  • 30
    • 0000439527 scopus 로고
    • Optimal global rates of convergence for nonparametric regression
    • C. J. Stone, "Optimal global rates of convergence for nonparametric regression," Annals Stat., vol. 10, no. 4, pp. 1040-1053, 1982.
    • (1982) Annals Stat , vol.10 , Issue.4 , pp. 1040-1053
    • Stone, C.J.1
  • 32
    • 85009724776 scopus 로고    scopus 로고
    • Nonlinear approximation
    • Online, Available
    • R. A. DeVore, "Nonlinear approximation," Acta Numerica vol. 7, pp. 51-150, 1998 [Online]. Available: http://citeseer.ist.psu.edu/429884.html
    • (1998) Acta Numerica , vol.7 , pp. 51-150
    • DeVore, R.A.1
  • 33
    • 61349172604 scopus 로고    scopus 로고
    • Hammerstein system identification by nonparametric instrumental variables
    • Mar
    • Z. Hasiewicz and G. Mzyk, "Hammerstein system identification by nonparametric instrumental variables," Int. J. Control, vol. 82, no. 3, pp. 440-455, Mar. 2009.
    • (2009) Int. J. Control , vol.82 , Issue.3 , pp. 440-455
    • Hasiewicz, Z.1    Mzyk, G.2
  • 34
    • 0004073954 scopus 로고
    • 3rd ed. Providence, R.I, American Mathematical Society
    • G. Szego, Orthogonal Polynomials, 3rd ed. Providence, R.I.: American Mathematical Society, 1974.
    • (1974) Orthogonal Polynomials
    • Szego, G.1
  • 35
    • 0013071485 scopus 로고    scopus 로고
    • Hammerstein system representation of financial volatility processes
    • E. Capobianco, "Hammerstein system representation of financial volatility processes," Eur. Phys. J. B - Condensed Matter, vol. 27, pp. 201-211, 2002.
    • (2002) Eur. Phys. J. B - Condensed Matter , vol.27 , pp. 201-211
    • Capobianco, E.1
  • 36
    • 0003054377 scopus 로고
    • Identification of loudspeaker non-linearities using the NARMAX modelling technique
    • W. Jang and G. Kim, "Identification of loudspeaker non-linearities using the NARMAX modelling technique," J. Audio Eng. Soc., vol. 42, pp. 50-59, 1994.
    • (1994) J. Audio Eng. Soc , vol.42 , pp. 50-59
    • Jang, W.1    Kim, G.2
  • 37
    • 0012770021 scopus 로고    scopus 로고
    • A bibliography on nonlinear system identification
    • G. B. Giannakis and E. Serpedin, "A bibliography on nonlinear system identification," Signal Processing, vol. 81, pp. 533-580, 2001.
    • (2001) Signal Processing , vol.81 , pp. 533-580
    • Giannakis, G.B.1    Serpedin, E.2
  • 38
    • 0032147127 scopus 로고    scopus 로고
    • Investigation of the Hammerstein hypothesis in the modeling of electrically stimulated muscle
    • K. Hunt, M. Munih, N. Donaldson, and F. Barr, "Investigation of the Hammerstein hypothesis in the modeling of electrically stimulated muscle," IEEE Trans. Biomed. Eng., vol. 45, no. 8, pp. 998-1009, 1998.
    • (1998) IEEE Trans. Biomed. Eng , vol.45 , Issue.8 , pp. 998-1009
    • Hunt, K.1    Munih, M.2    Donaldson, N.3    Barr, F.4
  • 39
    • 0028166765 scopus 로고
    • A nonlinear electrical-thermal model of the skin
    • Jul
    • D. Panescu, J. Webster, and R. Stratbucker, "A nonlinear electrical-thermal model of the skin," IEEE Trans. Biomed. Eng., vol. 41, no. 7, pp. 672-680, Jul. 1994.
    • (1994) IEEE Trans. Biomed. Eng , vol.41 , Issue.7 , pp. 672-680
    • Panescu, D.1    Webster, J.2    Stratbucker, R.3
  • 40
    • 0026111055 scopus 로고
    • Use of Hammerstein models in identification of non-linear systems
    • E. Eskinat, S. H. Johnson, and W. L. Luyben, "Use of Hammerstein models in identification of non-linear systems," Amer. Inst. Chem. Eng. J. vol. 37, pp. 255-268, 1991.
    • (1991) Amer. Inst. Chem. Eng. J , vol.37 , pp. 255-268
    • Eskinat, E.1    Johnson, S.H.2    Luyben, W.L.3
  • 41
    • 2542511591 scopus 로고    scopus 로고
    • Generalized regression neural networks in time-varying environment
    • May
    • L. Rutkowski, "Generalized regression neural networks in time-varying environment," IEEE Trans. Neural Networks, vol. 15, no. 3, pp. 576-596, May 2004.
    • (2004) IEEE Trans. Neural Networks , vol.15 , Issue.3 , pp. 576-596
    • Rutkowski, L.1
  • 42
    • 29144470123 scopus 로고    scopus 로고
    • Identification of quasi-periodically varying systems using the combined nonparametric/ parametric approach
    • Dec
    • M. Niedźwiecki and P. Kaczmarek, "Identification of quasi-periodically varying systems using the combined nonparametric/ parametric approach," IEEE Trans. Signal Processing, vol. 53, no. 12, pp. 4588-4598, Dec. 2005.
    • (2005) IEEE Trans. Signal Processing , vol.53 , Issue.12 , pp. 4588-4598
    • Niedźwiecki, M.1    Kaczmarek, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.