Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: Two-stage instrumental variables identification of polynomial Wiener systems with invertible nonlinearities
Contributor:
Kulczycki, Piotr - ed. ; Kacprzyk, Janusz - ed. ; Kóczy, László T. - ed. ; Mesiar, Radko - ed.
Subtitle:
Group publication title:
Abstract:
A new two-stage approach to the identification of polynomial Wiener systems is proposed. It is assumed that the linear dynamic system is described by a transfer function model, the memoryless nonlinear element is invertible and the inverse nonlinear function is a polynomial. Based on these assumptions and by introducing a new extended parametrization, the Wiener model is transformed into a linear-in-parameters form. In Stage I, parameters of the transformed Wiener model are estimated using the least squares (LS) and instrumental variables (IV) methods. ; Although the obtained parameter estimates are consistent, the number of parameters of the transformed Wiener model is much greater than that of the original one. Moreover, there is no unique relationship between parameters of the inverse nonlinear function and those of the transformed Wiener model. In Stage II, based on the assumption that the linear dynamic model is already known, parameters of the inverse nonlinear function are estimated uniquely using the IV method. In this way, not only is the parameter redundancy removed but also the parameter estimation accuracy is increased. A numerical example is included to demonstrate the practical effectiveness of the proposed approach.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, volume 29, number 3 (2019) ; click here to follow the link
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2019)
Last modified:
Jul 14, 2025
In our library since:
Jul 11, 2025
Number of object content hits:
14
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/100992
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 29, number 1 (2019)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 29, number 2 (2019)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 29, number 3 (2019)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 29, number 4 (2019)
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| Edition name | Date |
|---|---|
| Two-stage instrumental variables identification of polynomial Wiener systems with invertible nonlinearities | Jul 14, 2025 |
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