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De Iuliis, Vittorio; d’Angelo, Massimiliano; Manes, Costanzo; Pepe, Pierdomenico; Niculescu, Silviu-Iulian; Sun, Huanqi; Xiong, Weili; Ding, Feng; Yang, Erfu

Hierarchical estimation methods based on the penalty term for controlled autoregressive systems with colored noises. (English) Zbl 1541.93337

Int. J. Robust Nonlinear Control 34, No. 10, 6804-6826 (2024).
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.
© 2024 John Wiley & Sons Ltd.

MSC:

93E10 Estimation and detection in stochastic control theory
93E12 Identification in stochastic control theory
93A13 Hierarchical systems

Keywords:

colored noises; gradient search; hierarchical identification; parameter estimation; penalty term
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Full Text: DOI

References:

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