Frequency Identification of Nonparametric Wiener Systems

A great deal of interest has recently been paid to Wiener system identification Figure 12.1. However, most proposed solutions have been developed in the case of parametric systems, see e.g.[13, 14, 15, 17, 19]. As the internal signal x(t) is not accessible for measurement, and may even be of no physical meaning, the system output then turns out to be a bilinear (but fully known) function of the unknown parameters (those of the nonlinearity, on one hand, and those of the linear subsystem, on the other hand). Such bilinearity feature has been carried out following different approaches.

[1]  Han-Fu Chen,et al.  Recursive identification for Wiener model with discontinuous piece-wise linear function , 2006, IEEE Transactions on Automatic Control.

[2]  Jozef Vörös.  Parameter identification of Wiener systems with discontinuous nonlinearities , 2001, Syst. Control. Lett..

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

[4]  Er-Wei Bai.  Frequency domain identification of Wiener models , 2003, Autom..

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

[6]  Xiao-Li Hu,et al.  Strong consistence of recursive identification for Wiener systems , 2005, Autom..

[7]  Wlodzimierz Greblicki,et al.  Nonparametric approach to Wiener system identification , 1997 .

[8]  Zygmunt Hasiewicz,et al.  On Nonparametric Identification of Wiener Systems , 2007, IEEE Transactions on Signal Processing.

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

[10]  Michel Verhaegen,et al.  Linear and Non-linear System Identification Using Separable Least-Squares , 1997, Eur. J. Control.

[11]  Wlodzimierz Greblicki.  Nonlinearity recovering in Wiener system driven with correlated signal , 2004, IEEE Transactions on Automatic Control.

[12]  Fouad Giri,et al.  An Analytic Geometry Approach to Wiener System Frequency Identification , 2009, IEEE Transactions on Automatic Control.

[13]  R. E. Kearney,et al.  A new algorithm for the identification of multiple input Wiener systems , 2004, Biological Cybernetics.

[14]  Wlodzimierz Greblicki,et al.  Recursive identification of Wiener systems , 2001 .

[15]  Lars-Henning Zetterberg,et al.  Identification of certain time-varying nonlinear Wiener and Hammerstein systems , 2001, IEEE Trans. Signal Process..

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

[17]  L. Ljung,et al.  Maximum Likelihood Identification of Wiener Models , 2008 .