Filtering based recursive least squares algorithm for multi-input multioutput Hammerstein models
type: Item
instance of: scholarly article
title: Filtering based recursive least squares algorithm for multi-input multioutput Hammerstein models
zbMATH Open document ID: 1407.93438
DOI: 10.1155/2014/232848
author: Ziyun Wang
author: Yan Wang
author: Zhicheng Ji
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper considers the parameter estimation problem for Hammerstein multi-input multioutput finite impulse response (FIR-MA) systems. Filtered by the noise transfer function, the FIR-MA model is transformed into a controlled autoregressive model. The key-term variable separation principle is used to derive a data filtering based recursive least squares algorithm. The numerical examples confirm that the proposed algorithm can estimate parameters more accurately and has a higher computational efficiency compared with the recursive least squares algorithm.
Mathematics Subject Classification ID: 93E24
Mathematics Subject Classification ID: 93E10
zbMATH DE Number: 7015949
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/232848
OpenAlex ID: W1963816773
Wikidata QID: Q59064037
cites work: Parameter identification of chaotic systems using improved differential evolution algorithm
cites work: Parametric identification of nonlinear systems using multiple trials
cites work: Identification of nonlinear aeroelastic systems based on the Volterra theory: progress and opportunities
cites work: Bias compensation methods for stochastic systems with colored noise
cites work: Unbiased identification of a class of multi-input single-output systems with correlated disturbances using bias compensation methods
cites work: The residual based interactive least squares algorithms and simulation studies
cites work: Two algorithms for finding the Hermitian reflexive and skew-Hermitian solutions of Sylvester matrix equations
cites work: A lower bound for the product of eigenvalues of solutions to matrix equations
cites work: An iterative algorithm for the reflexive solutions of the generalized coupled Sylvester matrix equations and its optimal approximation
cites work: Finite iterative algorithms for the reflexive and anti-reflexive solutions of the matrix equation \(A_1X_1B_1+A_2X_2B_2=C\)
cites work: Kalman filter-based identification for systems with randomly missing measurements in a network environment
cites work: Output Feedback Stabilization of Networked Control Systems With Random Delays Modeled by Markov Chains
cites work: Robust mixed control of networked control systems with random time delays in both forward and backward communication links
cites work: Recursive least squares estimation algorithm applied to a class of linear-in-parameters output error moving average systems
cites work: Several gradient-based iterative estimation algorithms for a class of nonlinear systems using the filtering technique
cites work: A multi-innovation generalized extended stochastic gradient algorithm for output nonlinear autoregressive moving average systems
cites work: Parameter estimation for Hammerstein CARARMA systems based on the Newton iteration
cites work: Identification of Hammerstein nonlinear ARMAX systems
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cites work: \(l_2-l_\infty\) filtering for multirate systems based on lifted models
cites work: Parameter estimation for nonlinear dynamical adjustment models
cites work: Iterative algorithm for parameter identification of Hammerstein systems with two-segment nonlinearities
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cites work: Hierarchical estimation algorithms for multivariable systems using measurement information
cites work: Combined state and least squares parameter estimation algorithms for dynamic systems
cites work: H∞Control for Discrete-Time Markov Jump Systems With Uncertain Transition Probabilities
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description: scientific article; zbMATH DE number 7015949