Novel Nussbaum Design for Nonlinear Systems With Unknown Switching Control Directions

Guilong Liu; Yongliang Yang; Xiaowei Zhao; Choon Ki Ahn

doi:10.1109/TCSII.2023.3340911

Novel Nussbaum Design for Nonlinear Systems With Unknown Switching Control Directions

Guilong Liu, Yongliang Yang, Xiaowei Zhao, Choon Ki Ahn

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

This brief investigates the stability of switched nonlinear systems with input saturation and multiple unknown switching control directions using a novel Nussbaum design. The conventional Nussbaum design cannot be applied here directly because the multiple Nussbaum-type functions may cancel each other. To address the challenges posed by the unknown control directions, a novel variants of the Nussbaum-type function tailored to mitigate this limitation is introduced herein. The proposed control approach accounts for the input saturation constraints, while the system stability is verified using the average dwell time method. The approach is numerically validated on a jerk circuit system, demonstrating the effectiveness of the proposed design.

Original language	English
Pages (from-to)	2244-2248
Number of pages	5
Journal	IEEE Transactions on Circuits and Systems II: Express Briefs
Volume	71
Issue number	4
DOIs	https://doi.org/10.1109/TCSII.2023.3340911
Publication status	Published - 2024 Apr

Bibliographical note

Publisher Copyright:
© 2023 IEEE.

Keywords

Average dwell time
Nussbaum-type function
input saturation
multiple unknown control directions

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/TCSII.2023.3340911

Cite this

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title = "Novel Nussbaum Design for Nonlinear Systems With Unknown Switching Control Directions",

abstract = "This brief investigates the stability of switched nonlinear systems with input saturation and multiple unknown switching control directions using a novel Nussbaum design. The conventional Nussbaum design cannot be applied here directly because the multiple Nussbaum-type functions may cancel each other. To address the challenges posed by the unknown control directions, a novel variants of the Nussbaum-type function tailored to mitigate this limitation is introduced herein. The proposed control approach accounts for the input saturation constraints, while the system stability is verified using the average dwell time method. The approach is numerically validated on a jerk circuit system, demonstrating the effectiveness of the proposed design.",

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author = "Guilong Liu and Yongliang Yang and Xiaowei Zhao and Ahn, {Choon Ki}",

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AU - Liu, Guilong

AU - Yang, Yongliang

AU - Zhao, Xiaowei

AU - Ahn, Choon Ki

PY - 2024/4

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N2 - This brief investigates the stability of switched nonlinear systems with input saturation and multiple unknown switching control directions using a novel Nussbaum design. The conventional Nussbaum design cannot be applied here directly because the multiple Nussbaum-type functions may cancel each other. To address the challenges posed by the unknown control directions, a novel variants of the Nussbaum-type function tailored to mitigate this limitation is introduced herein. The proposed control approach accounts for the input saturation constraints, while the system stability is verified using the average dwell time method. The approach is numerically validated on a jerk circuit system, demonstrating the effectiveness of the proposed design.

AB - This brief investigates the stability of switched nonlinear systems with input saturation and multiple unknown switching control directions using a novel Nussbaum design. The conventional Nussbaum design cannot be applied here directly because the multiple Nussbaum-type functions may cancel each other. To address the challenges posed by the unknown control directions, a novel variants of the Nussbaum-type function tailored to mitigate this limitation is introduced herein. The proposed control approach accounts for the input saturation constraints, while the system stability is verified using the average dwell time method. The approach is numerically validated on a jerk circuit system, demonstrating the effectiveness of the proposed design.

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Novel Nussbaum Design for Nonlinear Systems With Unknown Switching Control Directions

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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