Nonfragile-Observer-Based Integral Sliding Mode Control for a Class of Uncertain Switched Hyperbolic Systems

Yonggui Kao; Xiaonan Liu; Minghui Song; Lin Zhao; Qiang Zhang

doi:10.1109/TAC.2022.3217103

Nonfragile-Observer-Based Integral Sliding Mode Control for a Class of Uncertain Switched Hyperbolic Systems

Yonggui Kao^*
, Xiaonan Liu^*
, Minghui Song
, Lin Zhao
, Qiang Zhang

^*Corresponding author for this work

Harbin Institute of Technology
Qingdao University
Shandong Jiaotong University

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

33 Scopus citations

Abstract

This article concerns nonfragile-observer-based integral sliding mode control for a class of uncertain switched hyperbolic systems (USHSs). First, by means of variable substitutions, the original hyperbolic differential system is reduced into a first-order one. Then, a nonfragile observer and the state-estimate-based sliding mode control law are designed, respectively, such that the reachability of the sliding surface and the novel criteria on asymptotical stability of the sliding dynamic USHSs can be ensured. Finally, a numerical example is presented to illustrate the effectiveness of our findings.

Original language	English
Pages (from-to)	5059-5066
Number of pages	8
Journal	IEEE Transactions on Automatic Control
Volume	68
Issue number	8
DOIs	https://doi.org/10.1109/TAC.2022.3217103
State	Published - 1 Aug 2023

Keywords

Hyperbolic terms
integral sliding mode control (SMC)
stability
uncertain switched systems (USSs)

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10.1109/TAC.2022.3217103

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title = "Nonfragile-Observer-Based Integral Sliding Mode Control for a Class of Uncertain Switched Hyperbolic Systems",

abstract = "This article concerns nonfragile-observer-based integral sliding mode control for a class of uncertain switched hyperbolic systems (USHSs). First, by means of variable substitutions, the original hyperbolic differential system is reduced into a first-order one. Then, a nonfragile observer and the state-estimate-based sliding mode control law are designed, respectively, such that the reachability of the sliding surface and the novel criteria on asymptotical stability of the sliding dynamic USHSs can be ensured. Finally, a numerical example is presented to illustrate the effectiveness of our findings.",

keywords = "Hyperbolic terms, integral sliding mode control (SMC), stability, uncertain switched systems (USSs)",

author = "Yonggui Kao and Xiaonan Liu and Minghui Song and Lin Zhao and Qiang Zhang",

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T1 - Nonfragile-Observer-Based Integral Sliding Mode Control for a Class of Uncertain Switched Hyperbolic Systems

AU - Kao, Yonggui

AU - Liu, Xiaonan

AU - Song, Minghui

AU - Zhao, Lin

AU - Zhang, Qiang

PY - 2023/8/1

Y1 - 2023/8/1

N2 - This article concerns nonfragile-observer-based integral sliding mode control for a class of uncertain switched hyperbolic systems (USHSs). First, by means of variable substitutions, the original hyperbolic differential system is reduced into a first-order one. Then, a nonfragile observer and the state-estimate-based sliding mode control law are designed, respectively, such that the reachability of the sliding surface and the novel criteria on asymptotical stability of the sliding dynamic USHSs can be ensured. Finally, a numerical example is presented to illustrate the effectiveness of our findings.

AB - This article concerns nonfragile-observer-based integral sliding mode control for a class of uncertain switched hyperbolic systems (USHSs). First, by means of variable substitutions, the original hyperbolic differential system is reduced into a first-order one. Then, a nonfragile observer and the state-estimate-based sliding mode control law are designed, respectively, such that the reachability of the sliding surface and the novel criteria on asymptotical stability of the sliding dynamic USHSs can be ensured. Finally, a numerical example is presented to illustrate the effectiveness of our findings.

KW - Hyperbolic terms

KW - integral sliding mode control (SMC)

KW - stability

KW - uncertain switched systems (USSs)

UR - https://www.scopus.com/pages/publications/85141477181

U2 - 10.1109/TAC.2022.3217103

DO - 10.1109/TAC.2022.3217103

M3 - 文章

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SN - 0018-9286

VL - 68

SP - 5059

EP - 5066

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 8

ER -

Nonfragile-Observer-Based Integral Sliding Mode Control for a Class of Uncertain Switched Hyperbolic Systems

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Keywords

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