Hierarchical estimation methods based on the penalty term for controlled autoregressive systems with colored noises

This article considers the parameter estimation problems for the controlled autoregressive systems interfered by moving average noises. A recursive extended gradient algorithm with penalty term is proposed by using the penalty criterion function. By introducing three fictitious output variables, the...

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Published inInternational journal of robust and nonlinear control Vol. 34; no. 10; pp. 6804 - 6826
Main Authors Sun, Huanqi, Xiong, Weili, Ding, Feng, Yang, Erfu
Format Journal Article
LanguageEnglish
Published Bognor Regis Wiley Subscription Services, Inc 10.07.2024
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Summary:This article considers the parameter estimation problems for the controlled autoregressive systems interfered by moving average noises. A recursive extended gradient algorithm with penalty term is proposed by using the penalty criterion function. By introducing three fictitious output variables, the original system can be decomposed into three subsystems based on the hierarchical principle. The hierarchical recursive extended gradient algorithm with penalty term is then proposed to achieve the parameter estimation. Finally, the experimental results demonstrate the effectiveness of the proposed algorithms.
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ISSN:1049-8923
1099-1239
DOI:10.1002/rnc.7323