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HAMMERSTEIN SYSTEM IDENTIFICATION WITH STOCHASTIC APPROXIMATION

International Journal of Modelling and Simulation, 2004
The paper deals with a recursive identification algorithm of the nonlinear characteristic of the Hammerstein system designed for the case when no functional form of the true nonlinearity is a priori known, and only the overall system input-output data are available. The problem is considered in a stochastic environment and the algorithm is based on the
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Sensor-to-sensor identification of Hammerstein systems

2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2012
Traditional system identification uses measurements of the inputs, but when these measurements are not available, alternative methods, such as blind identification, output-only identification, or operational modal analysis, must be used. Yet another method is sensor-to-sensor identification (S2SID), which estimates pseudo transfer functions whose ...
Khaled Aljanaideh   +4 more
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Identification methods for Hammerstein nonlinear systems

Digital Signal Processing, 2011
This paper considers the identification problems of the Hammerstein nonlinear systems. A projection and a stochastic gradient (SG) identification algorithms are presented for the Hammerstein nonlinear systems by using the gradient search method. Since the projection algorithm is sensitive to noise and the SG algorithm has a slow convergence rate, a ...
Feng Ding 0001   +2 more
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Recursive Identification of Wiener--Hammerstein Systems

SIAM Journal on Control and Optimization, 2012
Identification of the Wiener--Hammerstein system consisting of a linear subsystem in a cascade with a static nonlinearity $f(\cdot)$ followed by another linear subsystem with internal noises is con...
Bi-Qiang Mu, Han-Fu Chen
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Identification of time-varying Hammerstein systems

1995 International Conference on Acoustics, Speech, and Signal Processing, 2002
We consider the identification of systems which are both time-varying and nonlinear. This class of systems is more likely to be encountered in practice, but is often avoided due to the difficulties that arise in modelling and estimation. We attempt to address this problem by considering a new time-varying nonlinear model, the time-varying Hammerstein ...
Jonathon C. Ralston, Abdelhak M. Zoubir
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Comments on “Identification of Hammerstein nonlinear ARMAX systems”

Automatica, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wen-Xiao Zhao, Haitao Fang
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Nuclear norm regularization for overparametrized Hammerstein systems

49th IEEE Conference on Decision and Control (CDC), 2010
In this paper we study the overparametrization scheme for Hammerstein systems [1] in the presence of regularization. The quality of the convex approximation is analysed, that is obtained by relaxing the implicit rank one constraint. To obtain an improved convex relaxation we propose the use of nuclear norms [2], instead of using ridge regression.
Falck, Tillmann   +3 more
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Recursive Identification for Hammerstein System with ARX Subsystem

2006 Chinese Control Conference, 2006
Identification is considered for the Hammerstein system consisting of a static nonlinear block f(·) followed by an ARX subsystem, when the system output is observed with noise. No assumption is made on the structure of f(·). Recursive estimates are given for coefficients of the ARX subsystem and for the value of f(u) at any u.
Wen-Xiao Zhao, Han-Fu Chen
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Nonparametric Testing for Hammerstein Systems

IEEE Transactions on Automatic Control, 2022
Miroslaw Pawlak, Jiaqing Lv
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Identification of Hammerstein Nonlinear Stochastic Systems

Automation and Remote Control, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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