Identification of Wiener-Hammerstein models using linear interpolation in the frequency domain (LIFRED)

A new method to identify the linear subsystems of a Wiener-Hammerstein model through the measurement of the second-order Volterra kernel is proposed. This technique makes use of the symmetry properties of the Volterra kernel and assumes that the frequency response gain and phase between estimated points can be reasonably well approximated by a straight line. The signal applied for the identification is a multisine with properties of no interharmonic distortion. Several advantages of the proposed method over existing ones are discussed, and two simulation examples are presented to illustrate the applicability of the technique. The method is also shown to be robust to noise and distortion in the input signal.

[1]  M. J. Korenberg,et al.  The identification of nonlinear biological systems: Wiener and Hammerstein cascade models , 1986, Biological Cybernetics.

[2]  David Rees,et al.  Probing signals for measuring nonlinear Volterra kernels , 1995, Proceedings of 1995 IEEE Instrumentation and Measurement Technology Conference - IMTC '95.

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

[4]  Er-Wei Bai An optimal two-stage identification algorithm for Hammerstein-Wiener nonlinear systems , 1998, Autom..

[5]  H. A. Barker GALOIS - A Program for Generating Pseudo-Random Perturbation Signals , 2000 .

[6]  Thomas P. Krauss,et al.  Signal processing toolbox for use with MATLAB : ユーザーズガイド , 1994 .

[7]  David Rees,et al.  Structure identification of block-oriented nonlinear systems using periodic test signals , 1996, Quality Measurement: The Indispensable Bridge between Theory and Reality (No Measurements? No Science! Joint Conference - 1996: IEEE Instrumentation and Measurement Technology Conference and IMEKO Tec.

[8]  Yves Rolain,et al.  Non-parametric Estimation of the Frequency-response Functions of the Linear Blocks of a Wiener-Hammerstein Model , 1997, Autom..

[9]  Neil J. Bershad,et al.  Stochastic analysis of adaptive gradient identification of Wiener-Hammerstein systems for Gaussian inputs , 2000, IEEE Trans. Signal Process..

[10]  W. R. Cluett,et al.  Identification of Wiener-type nonlinear systems in a noisy environment , 1997 .

[11]  David Rees,et al.  Identifying linear models of systems suffering nonlinear distortions, with a gas turbine application , 1995 .

[12]  Gerd Vandersteen,et al.  Measurement and identification of nonlinear systems consisting of linear dynamic blocks and one static nonlinearity , 1999, IEEE Trans. Autom. Control..

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

[14]  Anna Hagenblad Initialization and Model Reduction for Wiener Model Identification , 1999 .

[15]  Heinz Unbehauen,et al.  Structure identification of nonlinear dynamic systems - A survey on input/output approaches , 1990, Autom..

[16]  K. Narendra,et al.  An iterative method for the identification of nonlinear systems using a Hammerstein model , 1966 .

[17]  D. Rees,et al.  Nonlinear disturbance errors in system identification using multisine test signals , 1993 .

[18]  S. Fakhouri Identification of the Volterra kernels of nonlinear systems , 1980 .

[19]  David Rees,et al.  Identification of nonlinear cascade systems using paired multisine signals , 1997, IEEE Instrumentation and Measurement Technology Conference Sensing, Processing, Networking. IMTC Proceedings.