Recursive least squares algorithm and gradient algorithm for Hammerstein–Wiener systems using the data filtering

This paper considers the parameter estimation problems of Hammerstein–Wiener systems by using the data filtering technique. In order to improve the estimation accuracy, the data filtering-based recursive generalized extended least squares algorithm is derived. In order to improve the computational e...

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Vydáno v:Nonlinear dynamics Ročník 84; číslo 2; s. 1045 - 1053
Hlavní autoři: Wang, Yanjiao, Ding, Feng
Médium: Journal Article
Jazyk:angličtina
Vydáno: Dordrecht Springer Netherlands 01.04.2016
Springer Nature B.V
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ISSN:0924-090X, 1573-269X
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Abstract This paper considers the parameter estimation problems of Hammerstein–Wiener systems by using the data filtering technique. In order to improve the estimation accuracy, the data filtering-based recursive generalized extended least squares algorithm is derived. In order to improve the computational efficiency, the data filtering-based generalized extended stochastic gradient algorithm is derived for estimating the system parameters. Finally, the computational efficiency of the proposed algorithms is analyzed and compared. The simulation results indicate that the proposed algorithms can effectively estimate the parameters of Hammerstein–Wiener systems.
AbstractList This paper considers the parameter estimation problems of Hammerstein–Wiener systems by using the data filtering technique. In order to improve the estimation accuracy, the data filtering-based recursive generalized extended least squares algorithm is derived. In order to improve the computational efficiency, the data filtering-based generalized extended stochastic gradient algorithm is derived for estimating the system parameters. Finally, the computational efficiency of the proposed algorithms is analyzed and compared. The simulation results indicate that the proposed algorithms can effectively estimate the parameters of Hammerstein–Wiener systems.
Author Wang, Yanjiao
Ding, Feng
Author_xml – sequence: 1
  givenname: Yanjiao
  surname: Wang
  fullname: Wang, Yanjiao
  organization: Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University
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  givenname: Feng
  surname: Ding
  fullname: Ding, Feng
  email: fding@jiangnan.edu.cn
  organization: Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University
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Keywords Gradient search
Parameter estimation
Nonlinear system
Least squares
Data filtering
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PublicationTitle Nonlinear dynamics
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Snippet This paper considers the parameter estimation problems of Hammerstein–Wiener systems by using the data filtering technique. In order to improve the estimation...
This paper considers the parameter estimation problems of Hammerstein-Wiener systems by using the data filtering technique. In order to improve the estimation...
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SubjectTerms Algorithms
Automotive Engineering
Classical Mechanics
Computational efficiency
Computer simulation
Computing time
Control
Dynamical Systems
Economic models
Engineering
Estimating techniques
Filtering
Filtration
Least squares
Least squares method
Mechanical Engineering
Nonlinear dynamics
Original Paper
Parameter estimation
Recursive
System effectiveness
Vibration
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Title Recursive least squares algorithm and gradient algorithm for Hammerstein–Wiener systems using the data filtering
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