Reduced-order adaptive sliding mode control for nonlinear switching semi-Markovian jump delayed systems

Baoping Jiang; Hamid Reza Karimi; Yonggui Kao; Cunchen Gao

doi:10.1016/j.ins.2018.10.054

Reduced-order adaptive sliding mode control for nonlinear switching semi-Markovian jump delayed systems

Baoping Jiang
, Hamid Reza Karimi^*
, Yonggui Kao
, Cunchen Gao

^*Corresponding author for this work

Polytechnic University of Milan
Ocean University of China
Harbin Institute of Technology Weihai

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

60 Scopus citations

Abstract

The problem of sliding mode control design for nonlinear switching semi-Markovian jump delayed systems is investigated in this paper. By choosing a linear switching surface function, we first derive reduced-order sliding mode dynamics; Then, the property of sliding mode dynamics with generally uncertain transition rates is analyzed by checking a set of new conditions; Further, an adaptive sliding mode control law is constructed to ensure the finite-time reaching condition. Finally, a practical example is provided to disseminate the effectiveness of the proposed method numerically.

Original language	English
Pages (from-to)	334-348
Number of pages	15
Journal	Information Sciences
Volume	477
DOIs	https://doi.org/10.1016/j.ins.2018.10.054
State	Published - Mar 2019
Externally published	Yes

Keywords

Adaptive sliding mode control
Linear matrix inequalities (LMIs)
Mean-square exponential stability (MSES)
Semi-Markovian jump systems

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10.1016/j.ins.2018.10.054

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title = "Reduced-order adaptive sliding mode control for nonlinear switching semi-Markovian jump delayed systems",

abstract = "The problem of sliding mode control design for nonlinear switching semi-Markovian jump delayed systems is investigated in this paper. By choosing a linear switching surface function, we first derive reduced-order sliding mode dynamics; Then, the property of sliding mode dynamics with generally uncertain transition rates is analyzed by checking a set of new conditions; Further, an adaptive sliding mode control law is constructed to ensure the finite-time reaching condition. Finally, a practical example is provided to disseminate the effectiveness of the proposed method numerically.",

keywords = "Adaptive sliding mode control, Linear matrix inequalities (LMIs), Mean-square exponential stability (MSES), Semi-Markovian jump systems",

author = "Baoping Jiang and Karimi, \{Hamid Reza\} and Yonggui Kao and Cunchen Gao",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Inc.",

year = "2019",

month = mar,

doi = "10.1016/j.ins.2018.10.054",

language = "英语",

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journal = "Information Sciences",

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T1 - Reduced-order adaptive sliding mode control for nonlinear switching semi-Markovian jump delayed systems

AU - Jiang, Baoping

AU - Karimi, Hamid Reza

AU - Kao, Yonggui

AU - Gao, Cunchen

PY - 2019/3

Y1 - 2019/3

N2 - The problem of sliding mode control design for nonlinear switching semi-Markovian jump delayed systems is investigated in this paper. By choosing a linear switching surface function, we first derive reduced-order sliding mode dynamics; Then, the property of sliding mode dynamics with generally uncertain transition rates is analyzed by checking a set of new conditions; Further, an adaptive sliding mode control law is constructed to ensure the finite-time reaching condition. Finally, a practical example is provided to disseminate the effectiveness of the proposed method numerically.

AB - The problem of sliding mode control design for nonlinear switching semi-Markovian jump delayed systems is investigated in this paper. By choosing a linear switching surface function, we first derive reduced-order sliding mode dynamics; Then, the property of sliding mode dynamics with generally uncertain transition rates is analyzed by checking a set of new conditions; Further, an adaptive sliding mode control law is constructed to ensure the finite-time reaching condition. Finally, a practical example is provided to disseminate the effectiveness of the proposed method numerically.

KW - Adaptive sliding mode control

KW - Linear matrix inequalities (LMIs)

KW - Mean-square exponential stability (MSES)

KW - Semi-Markovian jump systems

UR - https://www.scopus.com/pages/publications/85055909447

U2 - 10.1016/j.ins.2018.10.054

DO - 10.1016/j.ins.2018.10.054

M3 - 文章

AN - SCOPUS:85055909447

SN - 0020-0255

VL - 477

SP - 334

EP - 348

JO - Information Sciences

JF - Information Sciences

ER -

Reduced-order adaptive sliding mode control for nonlinear switching semi-Markovian jump delayed systems

Abstract

Keywords

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