Adaptive filtering parameter estimation algorithms for Hammerstein nonlinear systems

This paper studies the parameter estimation problems of the Hammerstein nonlinear systems using the adaptive filtering technique. A linear filter based recursive least squares (LF-RLS) identification algorithm with good convergence properties and high parameter estimation accuracy is proposed by fil...

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Bibliographic Details
Published in:Signal processing Vol. 128; pp. 417 - 425
Main Authors: Mao, Yawen, Ding, Feng, Alsaedi, Ahmed, Hayat, Tasawar
Format: Journal Article
Language:English
Published: Elsevier B.V 01.11.2016
Subjects:
Adaptive filtering
Adaptive filters
Algorithms
Computational efficiency
Convergence
Dynamical systems
Linear filters
Multi-innovation identification theory
Nonlinear dynamics
Nonlinear system
Parameter estimation
Recursive identification
Adaptive filtering
Recursive identification
Parameter estimation
Nonlinear system
Multi-innovation identification theory
ISSN:0165-1684, 1872-7557
Online Access:Get full text
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Summary:This paper studies the parameter estimation problems of the Hammerstein nonlinear systems using the adaptive filtering technique. A linear filter based recursive least squares (LF-RLS) identification algorithm with good convergence properties and high parameter estimation accuracy is proposed by filtering the input-output data. A linear filter based multi-innovation stochastic gradient (LF-MISG) algorithm is proposed by the innovation expansion, in order to improve the computational efficiency of the LF-RLS algorithm. Furthermore, a time-varying factor is introduced in the linear filter to improve the convergence speed of the LF-MISG algorithm. The efficiency of the proposed algorithms are shown in comparison with the conventional identification algorithms. •Two filtering based identification methods are discussed for Hammerstein systems.•A filter based recursive least squares method is presented for Hammerstein systems.•A filter based multi-innovation stochastic gradient method is given for comparison.
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ISSN:0165-1684
1872-7557
DOI:10.1016/j.sigpro.2016.05.009