Fuzzy control design for time-delay systems under adaptive event-triggered mechanism

Zhenbin Du; Zifang Qu; Yonggui Kao; Zhaojing Wu

doi:10.1007/s00521-023-09116-5

Fuzzy control design for time-delay systems under adaptive event-triggered mechanism

Zhenbin Du^*
, Zifang Qu^*
, Yonggui Kao
, Zhaojing Wu^*

^*Corresponding author for this work

Yantai University
Shandong Technology and Business University
Harbin Institute of Technology Weihai

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

Abstract

This manuscript studies the fuzzy H_∞ control design problem for nonlinear time-varying delay systems in fuzzy form via adaptive event-triggered mechanism. The fuzzy model and an adaptive event-triggered controller are connected in closed-loop form. A looped-functional is established to conduct stability analysis, and the main feature of this functional can fully reflect the sampling feature of control systems. Thus, the achieved results are less conservative. The Wringter inequality is also used to further relax stability analysis. Finally, sufficient conditions are achieved for the existence of event-triggered fuzzy controller, and the resulting closed-loop system reaches an H_∞ control performance. Two examples verify the efficiency of the presented control strategy.

Original language	English
Pages (from-to)	4727-4739
Number of pages	13
Journal	Neural Computing and Applications
Volume	36
Issue number	9
DOIs	https://doi.org/10.1007/s00521-023-09116-5
State	Published - Mar 2024
Externally published	Yes

Keywords

Event-triggered
Fuzzy control
Looped-functional
Time delay

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10.1007/s00521-023-09116-5

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title = "Fuzzy control design for time-delay systems under adaptive event-triggered mechanism",

abstract = "This manuscript studies the fuzzy H∞ control design problem for nonlinear time-varying delay systems in fuzzy form via adaptive event-triggered mechanism. The fuzzy model and an adaptive event-triggered controller are connected in closed-loop form. A looped-functional is established to conduct stability analysis, and the main feature of this functional can fully reflect the sampling feature of control systems. Thus, the achieved results are less conservative. The Wringter inequality is also used to further relax stability analysis. Finally, sufficient conditions are achieved for the existence of event-triggered fuzzy controller, and the resulting closed-loop system reaches an H∞ control performance. Two examples verify the efficiency of the presented control strategy.",

keywords = "Event-triggered, Fuzzy control, Looped-functional, Time delay",

author = "Zhenbin Du and Zifang Qu and Yonggui Kao and Zhaojing Wu",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer-Verlag London Ltd., part of Springer Nature 2023.",

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TY - JOUR

T1 - Fuzzy control design for time-delay systems under adaptive event-triggered mechanism

AU - Du, Zhenbin

AU - Qu, Zifang

AU - Kao, Yonggui

AU - Wu, Zhaojing

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer-Verlag London Ltd., part of Springer Nature 2023.

PY - 2024/3

Y1 - 2024/3

N2 - This manuscript studies the fuzzy H∞ control design problem for nonlinear time-varying delay systems in fuzzy form via adaptive event-triggered mechanism. The fuzzy model and an adaptive event-triggered controller are connected in closed-loop form. A looped-functional is established to conduct stability analysis, and the main feature of this functional can fully reflect the sampling feature of control systems. Thus, the achieved results are less conservative. The Wringter inequality is also used to further relax stability analysis. Finally, sufficient conditions are achieved for the existence of event-triggered fuzzy controller, and the resulting closed-loop system reaches an H∞ control performance. Two examples verify the efficiency of the presented control strategy.

AB - This manuscript studies the fuzzy H∞ control design problem for nonlinear time-varying delay systems in fuzzy form via adaptive event-triggered mechanism. The fuzzy model and an adaptive event-triggered controller are connected in closed-loop form. A looped-functional is established to conduct stability analysis, and the main feature of this functional can fully reflect the sampling feature of control systems. Thus, the achieved results are less conservative. The Wringter inequality is also used to further relax stability analysis. Finally, sufficient conditions are achieved for the existence of event-triggered fuzzy controller, and the resulting closed-loop system reaches an H∞ control performance. Two examples verify the efficiency of the presented control strategy.

KW - Event-triggered

KW - Fuzzy control

KW - Looped-functional

KW - Time delay

UR - https://www.scopus.com/pages/publications/85180243836

U2 - 10.1007/s00521-023-09116-5

DO - 10.1007/s00521-023-09116-5

M3 - 文章

AN - SCOPUS:85180243836

SN - 0941-0643

VL - 36

SP - 4727

EP - 4739

JO - Neural Computing and Applications

JF - Neural Computing and Applications

IS - 9

ER -

Fuzzy control design for time-delay systems under adaptive event-triggered mechanism

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Keywords

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