Quantifying the accuracy of Hammerstein model estimation
type: Item
instance of: scholarly article
title: Quantifying the accuracy of Hammerstein model estimation
zbMATH Open document ID: 1023.93067
DOI: 10.1016/S0005-1098(02)00101-2
author: Brett Ninness
author: Stuart Gibson
published in: Automatica
publication date: 2003-02-13T00:00:00Z
review text: The paper evidences that the process of estimating the nonlinear static part has a strong effect on the associated estimate of the linear dynamics in the Hammerstein system. The quantification of the variance error is provided, and it is shown that the frequency domain variability of the linear FIR subsystem estimate depends both on the estimate of the static input nonlinearity paremeter and the true linear dynamics as well. Two illustrative analytical examples are given.
Mathematics Subject Classification ID: 93E12
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 1868198
zbMATH Keywords: Hammerstein models
zbMATH Keywords: system identification
zbMATH Keywords: parameter estimation
zbMATH Keywords: nonlinear systems
zbMATH Keywords: variance error
reviewed by: Zygmunt Hasiewicz
MaRDI profile type: Publication
cites work: Q5545069
cites work: The Estimation of the Prediction Error Variance
cites work: Asymptotic Properties of Non-Linear Least Squares Estimators
cites work: Set-membership identification of systems with parametric and nonparametric uncertainty
cites work: Asymptotic variance expressions for identified black-box transfer function models
cites work: Q3879169
cites work: Asymptotic properties of black-box identification of transfer functions
cites work: Optimal estimation theory for dynamic systems with set membership uncertainty: An overview
cites work: The fundamental role of general orthonormal bases in system identification
cites work: Generalized Fourier and Toeplitz Results for Rational Orthonormal Bases
cites work: Q4239325
cites work: System identification with generalized orthonormal basis functions
cites work: System identification using Laguerre models
cites work: Hard frequency-domain model error bounds from least-squares like identification techniques
full work available at URL: s0005-1098(02)00101-2
OpenAlex ID: W2065888855
description: scientific article; zbMATH DE number 1868198