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

This article discusses <inline-formula> <tex-math notation="LaTeX">H_{\infty } </tex-math></inline-formula> 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...

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Published inIEEE transactions on systems, man, and cybernetics. Systems Vol. 52; no. 4; pp. 2531 - 2539
Main Authors Kang, Wen, Ding, Da-Wei, Guo, Bao-Zhu, Li, Qing
Format Journal Article
LanguageEnglish
Published New York IEEE 01.04.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
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Actuators
Closed loop systems
Delays
Feedback control
Formulas (mathematics)
Fuzzy control
Fuzzy model
H-infinity control
Linear matrix inequalities
linear matrix inequalities (LMIs)
Mathematical model
Nonlinear control
nonlinear fourth-order parabolic equation
Process control
Sensors
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ISSN2168-2216
2168-2232
DOI10.1109/TSMC.2021.3049289

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Abstract This article discusses <inline-formula> <tex-math notation="LaTeX">H_{\infty } </tex-math></inline-formula> 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 <inline-formula> <tex-math notation="LaTeX">M </tex-math></inline-formula> 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 <inline-formula> <tex-math notation="LaTeX">H_{\infty } </tex-math></inline-formula> performance by means of the Lyapunov approach.
AbstractList This article discusses [Formula Omitted] 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 [Formula Omitted] 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 [Formula Omitted] performance by means of the Lyapunov approach.
This article discusses <inline-formula> <tex-math notation="LaTeX">H_{\infty } </tex-math></inline-formula> 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 <inline-formula> <tex-math notation="LaTeX">M </tex-math></inline-formula> 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 <inline-formula> <tex-math notation="LaTeX">H_{\infty } </tex-math></inline-formula> performance by means of the Lyapunov approach.
Author Ding, Da-Wei
Guo, Bao-Zhu
Li, Qing
Kang, Wen
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Snippet This article discusses <inline-formula> <tex-math notation="LaTeX">H_{\infty } </tex-math></inline-formula> fuzzy control for the nonlinear fourth-order...
This article discusses [Formula Omitted] fuzzy control for the nonlinear fourth-order parabolic equation with input delay via collocated actuator/sensor pairs....
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Actuators
Closed loop systems
Delays
Feedback control
Formulas (mathematics)
Fuzzy control
Fuzzy model
H-infinity control
Linear matrix inequalities
linear matrix inequalities (LMIs)
Mathematical model
Nonlinear control
nonlinear fourth-order parabolic equation
Process control
Sensors
Title H∞ Fuzzy Control for Nonlinear Fourth-Order Parabolic Equation Subject to Input Delay
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