Hierarchical Gradient-Based Iterative Parameter Estimation Algorithms for a Nonlinear Feedback System Based on the Hierarchical Identification Principle

This paper focuses on iterative parameter estimation methods for a nonlinear closed-loop system (i.e., a nonlinear feedback system) with an equation-error model for the open-loop part. By applying negative gradient search, a gradient-based iterative algorithm is constructed. To reduce the computatio...

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Vydáno v:Circuits, systems, and signal processing Ročník 43; číslo 1; s. 124 - 151
Hlavní autoři: Yang, Dan, Liu, Yanjun, Ding, Feng, Yang, Erfu
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York Springer US 01.01.2024
Springer Nature B.V
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ISSN:0278-081X, 1531-5878
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Shrnutí:This paper focuses on iterative parameter estimation methods for a nonlinear closed-loop system (i.e., a nonlinear feedback system) with an equation-error model for the open-loop part. By applying negative gradient search, a gradient-based iterative algorithm is constructed. To reduce the computational costs and improve the parameter estimation accuracy, the hierarchical identification principle is employed to derive a hierarchical gradient-based iterative algorithm. A simulation example is provided to test the effectiveness of the proposed algorithms.
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content type line 14
ISSN:0278-081X
1531-5878
DOI:10.1007/s00034-023-02477-1