Novel parameter estimation method for the systems with colored noises by using the filtering identification idea

Compared with the systems with white noise disturbances, the parameter identification of the systems with colored noises (i.e., correlated noises) is more difficult. In this letter, we use the model transformation to study the identification problem for the systems with colored noises by using the f...

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Published inSystems & control letters Vol. 186; p. 105774
Main Authors Xu, Ling, Ding, Feng, Zhang, Xiao, Zhu, Quanmin
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.04.2024
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Abstract Compared with the systems with white noise disturbances, the parameter identification of the systems with colored noises (i.e., correlated noises) is more difficult. In this letter, we use the model transformation to study the identification problem for the systems with colored noises by using the filtering identification idea. The basic idea is to transform a system with colored noise into two identification models with white noises and then to propose a novel parameter estimation algorithms, which can generate more accurate parameter estimates than some related existing identification algorithm. The proposed method can be applied to other linear or nonlinear stochastic systems with different structures and colored disturbance noises. The provided simulation example tests the proposed algorithm.
AbstractList Compared with the systems with white noise disturbances, the parameter identification of the systems with colored noises (i.e., correlated noises) is more difficult. In this letter, we use the model transformation to study the identification problem for the systems with colored noises by using the filtering identification idea. The basic idea is to transform a system with colored noise into two identification models with white noises and then to propose a novel parameter estimation algorithms, which can generate more accurate parameter estimates than some related existing identification algorithm. The proposed method can be applied to other linear or nonlinear stochastic systems with different structures and colored disturbance noises. The provided simulation example tests the proposed algorithm.
ArticleNumber 105774
Author Zhang, Xiao
Ding, Feng
Xu, Ling
Zhu, Quanmin
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  givenname: Quanmin
  surname: Zhu
  fullname: Zhu, Quanmin
  email: quan.zhu@uwe.ac.uk
  organization: Department of Engineering Design and Mathematics, University of the West of England, Bristol BS16 1QY, UK
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Snippet Compared with the systems with white noise disturbances, the parameter identification of the systems with colored noises (i.e., correlated noises) is more...
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StartPage 105774
SubjectTerms Auxiliary model
Parameter estimation
Recursive identification
Stochastic gradient
Title Novel parameter estimation method for the systems with colored noises by using the filtering identification idea
URI https://dx.doi.org/10.1016/j.sysconle.2024.105774
Volume 186
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