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A Data-Driven Bayesian Koopman Learning Method for Modeling Hysteresis Dynamics

delete2024-11-01
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PRE
AI
X
Xiang Huang
H
Hai‐Tao Zhang *
王娟 封面图
王娟 (Jun Wang)
DOI:10.1109/TNNLS.2023.3288752delete
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摘要

摘要

En 中文
Exploring the mechanism of hysteresis dynamics may facilitate the analysis and controller design to alleviate detrimental effects. Conventional models, such as the Bouc-Wen and Preisach models consist of complicated nonlinear structures, limiting the applications of hysteresis systems for high-speed and high-precision positioning, detection, execution, and other operations. In this article, a Bayesian Koopman (B-Koopman) learning algorithm is therefore developed to characterize hysteresis dynamics. Essentially, the proposed scheme establishes a simplified linear representation with time delay for hysteresis dynamics, where the properties of the original nonlinear system are preserved. Furthermore, model parameters are optimized via sparse Bayesian learning together with an iterative strategy, which simplifies the identification procedure and reduces modeling errors. Extensive experimental results on piezoelectric positioning are elaborated to substantiate the effectiveness and superiority of the proposed B-Koopman algorithm for learning hysteresis dynamics.
Keyword:
Index Terms- Hysteresis
Koopman operator
modeling
piezo-electric actuators (PEAs)

期刊

IEEE Transactions on Neural Networks and Learning Systems 封面图
IEEE Transactions on Neural Networks and Learning Systems
IF:
8.9
论文数:
7.5K
被引数:
7.2W

机构

C
City University of Hong Kong
学者数:
2.3W
论文数: 3.0W
被引数: 6.1W
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