Multiple local Laguerre models for modelling nonlinear dynamic systems of the Wiener class

A novel parametrisation to model and identify nonlinear systems of the Wiener class is suggested. This parametrisation is based on multiple local Laguerre models. It offers a useful and efficient alternative for modelling and identification of certain nonlinear systems.

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

[2]  Stephen A. Billings,et al.  Non-linear system identification using neural networks , 1990 .

[3]  T. Johansen,et al.  Operating regime based process modeling and identification , 1997 .

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

[5]  George A. Bekey,et al.  On reducing learning time in context-dependent mappings , 1993, IEEE Trans. Neural Networks.

[6]  P. D. Olivier Online system identification using Laguerre series , 1994 .

[7]  Michael I. Jordan,et al.  Learning piecewise control strategies in a modular neural network architecture , 1993, IEEE Trans. Syst. Man Cybern..

[8]  Alfredo C. Desages,et al.  Approximate models for nonlinear process control , 1996 .

[9]  M. B. Priestley,et al.  Non-linear and non-stationary time series analysis , 1990 .

[10]  S. Billings,et al.  A prediction-error and stepwise-regression estimation algorithm for non-linear systems , 1986 .

[11]  Kumpati S. Narendra,et al.  Identification and control of dynamical systems using neural networks , 1990, IEEE Trans. Neural Networks.

[12]  Tor Arne Johansen,et al.  On Tikhonov regularization, bias and variance in nonlinear system identification , 1997, Autom..

[13]  L. Wang,et al.  Frequency smoothing using Laguerre model , 1992 .

[14]  S. Billings,et al.  Correlation based model validity tests for non-linear models , 1986 .

[15]  Rolf Johansson,et al.  System modeling and identification , 1993 .

[16]  M. Schetzen The Volterra and Wiener Theories of Nonlinear Systems , 1980 .

[17]  Sheng Chen,et al.  Representations of non-linear systems: the NARMAX model , 1989 .

[18]  P. Gallinari,et al.  Control of a nonminimum phase system with varying time-delay using neural networks , 1996, Proceedings of the 1996 IEEE International Symposium on Intelligent Control.

[19]  A. N. Tikhonov,et al.  Solutions of ill-posed problems , 1977 .

[20]  G. Dumont,et al.  Deterministic adaptive control based on Laguerre series representation , 1988 .

[21]  B. Wahlberg System identification using Laguerre models , 1991 .

[22]  T. Johansen,et al.  Constructing NARMAX models using ARMAX models , 1993 .