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Cited by 1Adaptive Control of Nonlinear SystemsStability and Control of Uncertain SystemsMachine Learning and ELM

The DOI matches its Crossref record; 50 of the 50 references it cites were found in a registry or an index.

Adaptive command filtered control for a class of nonlinear time delay systems with extreme learning machine

Zhu, Jingyang, Li, Shurong·2025·Asian Journal of Control

Abstract

In this paper, an extreme learning machine (ELM)‐based adaptive command filtered control method is investigated for a class of strict feedback nonlinear systems with unknown external disturbances and time delay. To begin with, the original system state equation is transformed into a new form on account of coordinate transformation. Subsequently, an ELM is adopted to approximate unknown functions which exist in the whole system states, without any prior knowledges of the ideal weight vectors and approximation errors. Secondly, a command filter is developed for the system under consideration, which can avoid the probem of “explosion of complexity” caused by repeated derivation of virtual control signals in traditional backstepping control. Meanwhile, error compensation signals are designed to conquer the shortcoming of a dynamic surface control (DSC) method. The combination of ELM and command filter technique has been used to construct corresponding controllers and adaptive laws. Effective handling of the impact of time delay terms is ensured through designing a novel Lyapunov–Krasovskii functional. The proposed strategy guarantees boundedness of all signals in the closed‐loop system and the tracking error asymptotically converges to a compact set around the origin. In the end, two continuous stirred tank reactors (CSTRs) are taken as example to further verify the efficiency of the put forward control method.

Overview

Integrity signals

Registry

Crossref · 10.1002/asjc.3411

Cites

50 of 50 references verified0 citation errors · 0 not checkable

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Citations

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Metadata

Authors
Zhu, J., & Li, S.
Affiliations
Beijing University of Posts and Telecommunications (CN)
Corresponding author
Li, Shurong
Venue
Asian Journal of Control
Publisher
Wiley
Published
2024-05-16
Volume
27
Issue
1
Pages
215-229
ISSN
  • 1561-8625 (ISSN-L)
  • 1934-6093
OpenAlex
W4396962305
Cited by
1
References
50
Citations by year
2024: 1
FWCI
0.12
Type
journal article
Language
en
Open access
closed
Locations
Asian Journal of Control (publishedVersion)
Funders
National Natural Science Foundation of China (61973043)
Topics
  • Physical Sciences › Engineering › Control and Systems Engineering › Adaptive Control of Nonlinear Systems
  • Physical Sciences › Engineering › Control and Systems Engineering › Stability and Control of Uncertain Systems
  • Physical Sciences › Computer Science › Artificial Intelligence › Machine Learning and ELM
Keywords
extreme learning machine, nonlinear time-delay systems, strict-feedback systems, unknown external disturbances, explosion of complexity, backstepping control, dynamic surface control, Lyapunov-Krasovskii functional, coordinate transformation, continuous stirred tank reactor, tracking error convergence

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Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.