H∞Fuzzy Control for Nonlinear Fourth-Order Parabolic Equation Subject to Input Delay

Wen Kang; Da Wei DIng; Bao Zhu Guo; Qing Li

doi:10.1109/TSMC.2021.3049289

H_∞Fuzzy Control for Nonlinear Fourth-Order Parabolic Equation Subject to Input Delay

Wen Kang
, Da Wei DIng
, Bao Zhu Guo
, Qing Li

University of Science and Technology Beijing
North China Electric Power University

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

1 Citation (Scopus)

Abstract

This article discusses H_{infty } fuzzy control for the nonlinear fourth-order parabolic equation with input delay via collocated actuator/sensor pairs. We suggest that the interval [0, 1] is divided into M subdomains, where sensors provide spatially averaged/point discrete-time state measurements. The control design strategy is proposed based on output measurements. We derive constructive conditions ensuring that the resulting closed-loop system is internally exponentially stable and has H_{infty } performance by means of the Lyapunov approach.

Original language	English
Pages (from-to)	2531-2539
Number of pages	9
Journal	IEEE Transactions on Systems, Man, and Cybernetics: Systems
Volume	52
Issue number	4
DOIs	https://doi.org/10.1109/TSMC.2021.3049289
Publication status	Published - 1 Apr 2022
Externally published	Yes

Keywords

Fuzzy model
H∞control
linear matrix inequalities (LMIs)
nonlinear fourth-order parabolic equation

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10.1109/TSMC.2021.3049289

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title = "H∞Fuzzy Control for Nonlinear Fourth-Order Parabolic Equation Subject to Input Delay",

abstract = "This article discusses H\_\{infty \} fuzzy control for the nonlinear fourth-order parabolic equation with input delay via collocated actuator/sensor pairs. We suggest that the interval [0, 1] is divided into M subdomains, where sensors provide spatially averaged/point discrete-time state measurements. The control design strategy is proposed based on output measurements. We derive constructive conditions ensuring that the resulting closed-loop system is internally exponentially stable and has H\_\{infty \} performance by means of the Lyapunov approach.",

keywords = "Fuzzy model, H∞control, linear matrix inequalities (LMIs), nonlinear fourth-order parabolic equation",

author = "Wen Kang and DIng, \{Da Wei\} and Guo, \{Bao Zhu\} and Qing Li",

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AU - Guo, Bao Zhu

AU - Li, Qing

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Y1 - 2022/4/1

N2 - This article discusses H_{infty } fuzzy control for the nonlinear fourth-order parabolic equation with input delay via collocated actuator/sensor pairs. We suggest that the interval [0, 1] is divided into M subdomains, where sensors provide spatially averaged/point discrete-time state measurements. The control design strategy is proposed based on output measurements. We derive constructive conditions ensuring that the resulting closed-loop system is internally exponentially stable and has H_{infty } performance by means of the Lyapunov approach.

AB - This article discusses H_{infty } fuzzy control for the nonlinear fourth-order parabolic equation with input delay via collocated actuator/sensor pairs. We suggest that the interval [0, 1] is divided into M subdomains, where sensors provide spatially averaged/point discrete-time state measurements. The control design strategy is proposed based on output measurements. We derive constructive conditions ensuring that the resulting closed-loop system is internally exponentially stable and has H_{infty } performance by means of the Lyapunov approach.

KW - Fuzzy model

KW - H∞control

KW - linear matrix inequalities (LMIs)

KW - nonlinear fourth-order parabolic equation

UR - https://www.scopus.com/pages/publications/85100801393

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JF - IEEE Transactions on Systems, Man, and Cybernetics: Systems

IS - 4

ER -

H_∞Fuzzy Control for Nonlinear Fourth-Order Parabolic Equation Subject to Input Delay

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Keywords

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