Separable Synchronous Gradient‐Based Iterative Algorithms for the Nonlinear ExpARX System

ABSTRACT This article is aimed to study the parameter identification of the ExpARX system. To overcome the computational complexity associated with a large number of feature parameters, a parameter separation scheme based on the different features of the identification model is introduced. In terms...

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Bibliographic Details
Published in:International journal of adaptive control and signal processing Vol. 38; no. 12; pp. 3801 - 3818
Main Authors: Gu, Ya, Hou, Yuting, Li, Chuanjiang, Zhu, Yanfei
Format: Journal Article
Language:English
Published: Hoboken, USA John Wiley & Sons, Inc 01.12.2024
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Subjects:
Accuracy
Algorithms
Complexity
Conjugate gradient method
Coupling
gradient iterative algorithm
hierarchical identification
Innovations
Iterative algorithms
Iterative methods
multi‐innovation identification
nonlinear ExpARX system
Parameter estimation
Parameter identification
Piezoelectric ceramics
ISSN:0890-6327, 1099-1115
Online Access:Get full text
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Summary:ABSTRACT This article is aimed to study the parameter identification of the ExpARX system. To overcome the computational complexity associated with a large number of feature parameters, a parameter separation scheme based on the different features of the identification model is introduced. In terms of the phenomenon that the coupling parameters lead to the inability of algorithms, a separable synchronous interactive estimation method is introduced to eliminate the coupling parameters and perform parameter estimation in accordance with the hierarchical principle. For the purpose of achieving high‐accuracy performance and reducing complexity, a separable synchronous gradient iterative algorithm is derived by means of gradient search. In order to improve the identification accuracy, a separable synchronous multi‐innovation gradient iterative algorithm is proposed by introducing the multi‐innovation identification theory. In order to improve the convergence speed, a separable synchronous multi‐innovation conjugate gradient iterative algorithm is proposed by introducing the conjugate gradient theory. Finally, a simulation example and a real‐life example of piezoelectric ceramics are used to verify the effectiveness of the proposed algorithm.
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ISSN:0890-6327
1099-1115
DOI:10.1002/acs.3904