Iterative Learning Identification of Singular Nonlinear Systems Based on Vector Plot Analysis

This paper describes an iterative learning identification law for singular nonlinear systems based on vector plot analysis. Firstly, a new recognition learning law based on vector plot analysis is proposed for such systems running in finite time intervals, which is used to iteratively analyze time-varying system parameters. Secondly, through the contraction mapping principle, the learning convergence of identifier errors under the λ-norm along the iteration axis is illustrated. Finally, numerical simulations are conducted to verify the efficiency of the proposed vector plot-based iterative learning identification law.

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Published
2024-09-20
DOI
https://doi.org/10.1109/csis-iac63491.2024.10919414
Primary Topic
Iterative Learning Control Systems
Type
article
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Iterative Learning Identification of Singular Nonlinear Systems Based on Vector Plot Analysis

Guanxu Wang, Xingyu Zhou, Guang Li, Chao Zhou et al.
Iterative Learning Control Systems
article

Iterative Learning Identification of Singular Nonlinear Systems Based on Vector Plot Analysis

Guanxu Wang, Xingyu Zhou, Guang Li, Chao Zhou, Sijie Zhang, Danhu Yi
article en

Abstract

This paper describes an iterative learning identification law for singular nonlinear systems based on vector plot analysis. Firstly, a new recognition learning law based on vector plot analysis is proposed for such systems running in finite time intervals, which is used to iteratively analyze time-varying system parameters. Secondly, through the contraction mapping principle, the learning convergence of identifier errors under the λ-norm along the iteration axis is illustrated. Finally, numerical simulations are conducted to verify the efficiency of the proposed vector plot-based iterative learning identification law.

Nantong University (CN)
Quality Education
Openalex Percentile: Top 64%
Iterative Learning Control Systems
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