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Volumn 91, Issue 5, 2011, Pages 1182-1189

Least squares based and gradient based iterative identification for Wiener nonlinear systems

Author keywords

Hammerstein nonlinear models; Iterative identification; Least squares; Parameter estimation; Recursive identification; Signal processing; Stochastic gradient; Wiener nonlinear models

Indexed keywords

ITERATIVE IDENTIFICATION; LEAST SQUARES; NON-LINEAR MODEL; RECURSIVE IDENTIFICATION; STOCHASTIC GRADIENT;

EID: 79551473739     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2010.11.004     Document Type: Article
Times cited : (231)

References (41)
  • 1
    • 22344449915 scopus 로고    scopus 로고
    • Identification of Hammerstein nonlinear ARMAX systems
    • F. Ding, and T. Chen Identification of Hammerstein nonlinear ARMAX systems Automatica 41 9 2005 1479 1489
    • (2005) Automatica , vol.41 , Issue.9 , pp. 1479-1489
    • Ding, F.1    Chen, T.2
  • 2
    • 33947233313 scopus 로고    scopus 로고
    • Auxiliary model based least-squares identification methods for Hammerstein output-error systems
    • F. Ding, Y. Shi, and T. Chen Auxiliary model based least-squares identification methods for Hammerstein output-error systems Systems & Control Letters 56 5 2007 373 380
    • (2007) Systems & Control Letters , vol.56 , Issue.5 , pp. 373-380
    • Ding, F.1    Shi, Y.2    Chen, T.3
  • 3
    • 76749119806 scopus 로고    scopus 로고
    • An affine projection-based algorithm for identification of nonlinear Hammerstein systems
    • I.J. Umoh, and T. Ogunfunmi An affine projection-based algorithm for identification of nonlinear Hammerstein systems Signal Processing 90 6 2010 2020 2030
    • (2010) Signal Processing , vol.90 , Issue.6 , pp. 2020-2030
    • Umoh, I.J.1    Ogunfunmi, T.2
  • 4
    • 77950862482 scopus 로고    scopus 로고
    • Auxiliary model-based RELS and MI-ELS algorithms for Hammerstein OEMA systems
    • D.Q. Wang, Y.Y. Chu, and F. Ding Auxiliary model-based RELS and MI-ELS algorithms for Hammerstein OEMA systems Computers & Mathematics with Applications 59 9 2010 3092 3098
    • (2010) Computers & Mathematics with Applications , vol.59 , Issue.9 , pp. 3092-3098
    • Wang, D.Q.1    Chu, Y.Y.2    Ding, F.3
  • 5
    • 77953128333 scopus 로고    scopus 로고
    • Auxiliary model-based recursive generalized least squares parameter estimation for Hammerstein OEAR systems
    • D.Q. Wang, Y.Y. Chu, G.W. Yang, and F. Ding Auxiliary model-based recursive generalized least squares parameter estimation for Hammerstein OEAR systems Mathematical and Computer Modelling 52 12 2010 309 317
    • (2010) Mathematical and Computer Modelling , vol.52 , Issue.12 , pp. 309-317
    • Wang, D.Q.1    Chu, Y.Y.2    Yang, G.W.3    Ding, F.4
  • 6
    • 0037351969 scopus 로고    scopus 로고
    • Modeling and identification of Wiener systems with two-segment nonlinearities
    • J. Vrs Modeling and identification of Wiener systems with two-segment nonlinearities IEEE Transactions on Control Systems Technology 11 2 2003 253 257
    • (2003) IEEE Transactions on Control Systems Technology , vol.11 , Issue.2 , pp. 253-257
    • Vrs, J.1
  • 7
    • 33845215508 scopus 로고    scopus 로고
    • Parameter identification of Wiener systems with multisegment piecewise-linear nonlinearities
    • J. Vrs Parameter identification of Wiener systems with multisegment piecewise-linear nonlinearities Systems & Control Letters 56 2 2007 99 105
    • (2007) Systems & Control Letters , vol.56 , Issue.2 , pp. 99-105
    • Vrs, J.1
  • 8
  • 9
    • 24944436643 scopus 로고    scopus 로고
    • Strong consistence of recursive identification for Wiener systems
    • X.L. Hu, and H.F. Chen Strong consistence of recursive identification for Wiener systems Automatica 41 11 2005 1905 1916
    • (2005) Automatica , vol.41 , Issue.11 , pp. 1905-1916
    • Hu, X.L.1    Chen, H.F.2
  • 10
    • 49549117309 scopus 로고    scopus 로고
    • Identification of Wiener models using optimal local linear models
    • M. Kozek, and S. Sinanović Identification of Wiener models using optimal local linear models Simulation Modelling Practice and Theory 16 8 2008 1055 1066
    • (2008) Simulation Modelling Practice and Theory , vol.16 , Issue.8 , pp. 1055-1066
    • Kozek, M.1    Sinanović, S.2
  • 12
    • 55249097118 scopus 로고    scopus 로고
    • Maximum likelihood identification of Wiener models
    • A. Hagenblad, L. Ljung, and A. Wills Maximum likelihood identification of Wiener models Automatica 44 11 2008 2697 2705
    • (2008) Automatica , vol.44 , Issue.11 , pp. 2697-2705
    • Hagenblad, A.1    Ljung, L.2    Wills, A.3
  • 13
    • 77949486667 scopus 로고    scopus 로고
    • Gradient based and least-squares based iterative identification methods for OE and OEMA systems
    • F. Ding, P.X. Liu, and G. Liu Gradient based and least-squares based iterative identification methods for OE and OEMA systems Digital Signal Processing 20 3 2010 664 677
    • (2010) Digital Signal Processing , vol.20 , Issue.3 , pp. 664-677
    • Ding, F.1    Liu, P.X.2    Liu, G.3
  • 14
    • 77954174851 scopus 로고    scopus 로고
    • Least-squares based iterative algorithms for identifying Box-Jenkins models with finite measurement data
    • Y.J. Liu, D.Q. Wang, and F. Ding Least-squares based iterative algorithms for identifying Box-Jenkins models with finite measurement data Digital Signal Processing 20 5 2010 1458 1467
    • (2010) Digital Signal Processing , vol.20 , Issue.5 , pp. 1458-1467
    • Liu, Y.J.1    Wang, D.Q.2    Ding, F.3
  • 15
    • 77957294731 scopus 로고    scopus 로고
    • Gradient-based iterative parameter estimation for Box-Jenkins systems
    • D.Q. Wang, G.W. Yang, and R.F. Ding Gradient-based iterative parameter estimation for Box-Jenkins systems Computers & Mathematics with Applications 60 5 2010 1200 1208
    • (2010) Computers & Mathematics with Applications , vol.60 , Issue.5 , pp. 1200-1208
    • Wang, D.Q.1    Yang, G.W.2    Ding, R.F.3
  • 16
    • 0037410230 scopus 로고    scopus 로고
    • A note on an iterative least-squares estimation method for ARMA and VARMA models
    • G. Kapetanios A note on an iterative least-squares estimation method for ARMA and VARMA models Economics Letters 79 3 2003 305 312
    • (2003) Economics Letters , vol.79 , Issue.3 , pp. 305-312
    • Kapetanios, G.1
  • 17
    • 33645939215 scopus 로고    scopus 로고
    • Least squares solutions of bilinear equations
    • E.W. Bai, and Y. Liu Least squares solutions of bilinear equations Systems & Control Letters 55 6 2006 466 472
    • (2006) Systems & Control Letters , vol.55 , Issue.6 , pp. 466-472
    • Bai, E.W.1    Liu, Y.2
  • 18
    • 22144434326 scopus 로고    scopus 로고
    • Hierarchical gradient-based identification of multivariable discrete-time systems
    • F. Ding, and T. Chen Hierarchical gradient-based identification of multivariable discrete-time systems Automatica 41 2 2005 315 325
    • (2005) Automatica , vol.41 , Issue.2 , pp. 315-325
    • Ding, F.1    Chen, T.2
  • 19
    • 16244397443 scopus 로고    scopus 로고
    • Hierarchical least squares identification methods for multivariable systems
    • F. Ding, and T. Chen Hierarchical least squares identification methods for multivariable systems IEEE Transactions on Automatic Control 50 3 2005 397 402
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.3 , pp. 397-402
    • Ding, F.1    Chen, T.2
  • 20
    • 22144498905 scopus 로고    scopus 로고
    • Hierarchical identification of lifted state-space models for general dual-rate systems
    • F. Ding, and T. Chen Hierarchical identification of lifted state-space models for general dual-rate systems IEEE Transactions on Circuits and SystemsI: Regular Papers 52 6 2005 1179 1187
    • (2005) IEEE Transactions on Circuits and SystemsI: Regular Papers , vol.52 , Issue.6 , pp. 1179-1187
    • Ding, F.1    Chen, T.2
  • 21
    • 77950852695 scopus 로고    scopus 로고
    • Identification methods for Wiener nonlinear systems based on the least squares and gradient iterations
    • December 16-18 Shanghai, China
    • D.Q. Wang, Y.Y. Chu, F. Ding, Identification methods for Wiener nonlinear systems based on the least squares and gradient iterations, in: 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, December 1618, 2009, Shanghai, China, pp. 36323636.
    • (2009) 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference , pp. 3632-3636
    • Wang, D.Q.1    Chu, Y.Y.2    Ding, F.3
  • 22
    • 33751236756 scopus 로고    scopus 로고
    • Performance analysis of multi-innovation gradient type identification methods
    • F. Ding, and T. Chen Performance analysis of multi-innovation gradient type identification methods Automatica 43 1 2007 1 14
    • (2007) Automatica , vol.43 , Issue.1 , pp. 1-14
    • Ding, F.1    Chen, T.2
  • 23
    • 77954175918 scopus 로고    scopus 로고
    • Several multi-innovation identification methods
    • F. Ding Several multi-innovation identification methods Digital Signal Processing 20 4 2010 1027 1039
    • (2010) Digital Signal Processing , vol.20 , Issue.4 , pp. 1027-1039
    • Ding, F.1
  • 24
    • 77949486033 scopus 로고    scopus 로고
    • Performance analysis of the auxiliary models based multi-innovation stochastic gradient estimation algorithm for output error systems
    • D.Q. Wang, and F. Ding Performance analysis of the auxiliary models based multi-innovation stochastic gradient estimation algorithm for output error systems Digital Signal Processing 20 3 2010 750 762
    • (2010) Digital Signal Processing , vol.20 , Issue.3 , pp. 750-762
    • Wang, D.Q.1    Ding, F.2
  • 25
    • 67349177024 scopus 로고    scopus 로고
    • Auxiliary model based multi-innovation extended stochastic gradient parameter estimation with colored measurement noises
    • F. Ding, P.X. Liu, and G. Liu Auxiliary model based multi-innovation extended stochastic gradient parameter estimation with colored measurement noises Signal Processing 89 10 2009 1883 1890
    • (2009) Signal Processing , vol.89 , Issue.10 , pp. 1883-1890
    • Ding, F.1    Liu, P.X.2    Liu, G.3
  • 26
    • 67349090936 scopus 로고    scopus 로고
    • Multi-innovation stochastic gradient algorithms for multi-input multi-output systems
    • L.L. Han, and F. Ding Multi-innovation stochastic gradient algorithms for multi-input multi-output systems Digital Signal Processing 19 4 2009 545 554
    • (2009) Digital Signal Processing , vol.19 , Issue.4 , pp. 545-554
    • Han, L.L.1    Ding, F.2
  • 27
    • 57249097181 scopus 로고    scopus 로고
    • Self-tuning control based on multi-innovation stochastic gradient parameter estimation
    • J.B. Zhang, F. Ding, and Y. Shi Self-tuning control based on multi-innovation stochastic gradient parameter estimation Systems & Control Letters 58 1 2009 69 75
    • (2009) Systems & Control Letters , vol.58 , Issue.1 , pp. 69-75
    • Zhang, J.B.1    Ding, F.2    Shi, Y.3
  • 29
    • 77954174920 scopus 로고    scopus 로고
    • Modeling and identification for non-uniformly periodically sampled-data systems
    • L. Xie, Y.J. Liu, H.Z. Yang, and F. Ding Modeling and identification for non-uniformly periodically sampled-data systems IET Control Theory & Applications 4 5 2010 784 794
    • (2010) IET Control Theory & Applications , vol.4 , Issue.5 , pp. 784-794
    • Xie, L.1    Liu, Y.J.2    Yang, H.Z.3    Ding, F.4
  • 30
    • 0032022209 scopus 로고    scopus 로고
    • An optimal two-stage identification algorithm for HammersteinWiener nonlinear systems
    • E.W. Bai An optimal two-stage identification algorithm for HammersteinWiener nonlinear systems Automatica 34 3 1998 333 338
    • (1998) Automatica , vol.34 , Issue.3 , pp. 333-338
    • Bai, E.W.1
  • 31
    • 55649109065 scopus 로고    scopus 로고
    • Extended stochastic gradient identification algorithms for HammersteinWiener ARMXA Systems
    • D.Q. Wang, and F. Ding Extended stochastic gradient identification algorithms for HammersteinWiener ARMXA Systems Computers and Mathematics with Applications 56 12 2008 3157 3164
    • (2008) Computers and Mathematics with Applications , vol.56 , Issue.12 , pp. 3157-3164
    • Wang, D.Q.1    Ding, F.2
  • 32
    • 33845936054 scopus 로고    scopus 로고
    • Iterative identification of Hammerstein systems
    • Y. Liu, and E.W. Bai Iterative identification of Hammerstein systems Automatica 43 2 2007 346 354
    • (2007) Automatica , vol.43 , Issue.2 , pp. 346-354
    • Liu, Y.1    Bai, E.W.2
  • 33
    • 0242333988 scopus 로고    scopus 로고
    • Parameter bounds for discrete-time Hammerstein models with bounded output errors
    • V. Cerone, and D. Regruto Parameter bounds for discrete-time Hammerstein models with bounded output errors IEEE Transactions on Automatic Control 48 10 2003 1855 1860
    • (2003) IEEE Transactions on Automatic Control , vol.48 , Issue.10 , pp. 1855-1860
    • Cerone, V.1    Regruto, D.2
  • 35
    • 58349105805 scopus 로고    scopus 로고
    • Reconstruction of continuous-time systems from their non-uniformly sampled discrete-time systems
    • F. Ding, L. Qiu, and T. Chen Reconstruction of continuous-time systems from their non-uniformly sampled discrete-time systems Automatica 45 2 2009 324 332
    • (2009) Automatica , vol.45 , Issue.2 , pp. 324-332
    • Ding, F.1    Qiu, L.2    Chen, T.3
  • 36
    • 77955391352 scopus 로고    scopus 로고
    • Partially coupled stochastic gradient identification methods for non-uniformly sampled systems
    • F. Ding, G. Liu, and X.P. Liu Partially coupled stochastic gradient identification methods for non-uniformly sampled systems IEEE Transaction on Automatic Control 55 8 2010 1976 1981
    • (2010) IEEE Transaction on Automatic Control , vol.55 , Issue.8 , pp. 1976-1981
    • Ding, F.1    Liu, G.2    Liu, X.P.3
  • 39
    • 77954174918 scopus 로고    scopus 로고
    • A modified stochastic gradient based parameter estimation algorithm for dual-rate sampled-data systems
    • J. Ding, Y. Shi, H.G. Wang, and F. Ding A modified stochastic gradient based parameter estimation algorithm for dual-rate sampled-data systems Digital Signal Processing 20 4 2010 1238 1249
    • (2010) Digital Signal Processing , vol.20 , Issue.4 , pp. 1238-1249
    • Ding, J.1    Shi, Y.2    Wang, H.G.3    Ding, F.4
  • 40
    • 77954175887 scopus 로고    scopus 로고
    • Inputoutput data filtering based recursive least squares identification for CARARMA systems
    • D.Q. Wang, and F. Ding Inputoutput data filtering based recursive least squares identification for CARARMA systems Digital Signal Processing 20 4 2010 991 999
    • (2010) Digital Signal Processing , vol.20 , Issue.4 , pp. 991-999
    • Wang, D.Q.1    Ding, F.2
  • 41
    • 79551472381 scopus 로고    scopus 로고
    • Identification methods for Hammerstein nonlinear systems
    • F. Ding, P.X. Liu, G. Liu, Identification methods for Hammerstein nonlinear systems, Digital Signal Processing 21 (2) (2011), doi: 10.1016/j.dsp.2010.06.006
    • (2011) Digital Signal Processing , vol.21 , Issue.2
    • Ding, F.1    Liu, P.X.2    Liu, G.3


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