User choices and model validation in system identification using nonlinear Wiener models

Abstract The issue of user choices in system identification is of paramount importance. This paper therefore attempts to systematically discuss user choices for algorithms based on a specific class of nonlinear models, namely the Wiener model. In particular, the paper addresses model selection, user choices in algorithms, sampling, input signal selection as well as disturbance handling and modelling errors. Validation methods applicable to Wiener type systems are also discussed. A new method based on mean residual analysis is presented. Parts of the discussion of the paper applies also to general nonlinear system identification.

[1]  Torbjörn Wigren,et al.  On estimation of model errors caused by nonlinear undermodeling in system identification , 2002 .

[2]  Michel Verhaegen,et al.  Identifying MIMO Wiener systems using subspace model identification methods , 1996, Signal Process..

[3]  E. Baeyens,et al.  SUBSPACE IDENTIFICATION OF MULTIVARIABLE HAMMERSTEIN AND WIENER MODELS , 2002 .

[4]  T. Wigren Convergence analysis of recursive identification algorithms based on the nonlinear Wiener model , 1994, IEEE Trans. Autom. Control..

[5]  L. Ljung,et al.  Design variables for bias distribution in transfer function estimation , 1986, The 23rd IEEE Conference on Decision and Control.

[6]  L. A. Aguirre,et al.  EFFECTS OF THE SAMPLING TIME ON THE DYNAMICS AND IDENTIFICATION OF NONLINEAR MODELS , 1995 .

[7]  Torbjörn Wigren,et al.  On estimation of errors caused by non-linear undermodelling in system identification , 2002 .

[8]  Torbjörn Wigren,et al.  Recursive identification based on the nonlinear Wiener model , 1990 .

[9]  Torbjörn Wigren,et al.  Recursive prediction error identification using the nonlinear wiener model , 1993, Autom..

[10]  Grazyna Pajunen,et al.  Adaptive control of wiener type nonlinear systems , 1992, Autom..

[11]  Torbjörn Wigren,et al.  Adaptive filtering using quantized output measurements , 1998, IEEE Trans. Signal Process..

[12]  Wlodzimierz Greblicki,et al.  Nonparametric identification of Wiener systems , 1992, IEEE Trans. Inf. Theory.

[13]  S. Billings,et al.  Identification of nonlinear systems using the Wiener model , 1977 .