Constrained Control for a Class of TS Fuzzy Systems

This article investigates handling control constraints in the controller design phase for a class of Takagi-Sugeno (TS) fuzzy systems. Line integral Lyapunov function (LILF) is used to reduce the conservativeness compared to common quadratic Lyapunov function (CQLF) and fuzzy Lyapunov function (FLF)...

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Published inIEEE transactions on fuzzy systems Vol. 31; no. 1; pp. 348 - 353
Main Authors Tiko, Souhail, Mesquine, Fouad
Format Journal Article
LanguageEnglish
Published New York IEEE 01.01.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Behavioral sciences
Closed loops
Constraints
Control systems design
Fuzzy systems
Liapunov functions
line integral Lyapunov function (LILF)
Lyapunov methods
PD control
Saturation
Stability
Stability analysis
stabilization
Symmetric matrices
Takagi–Sugeno (TS)
Writing
Online AccessGet full text
ISSN1063-6706
1941-0034
DOI10.1109/TFUZZ.2022.3182775

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Abstract This article investigates handling control constraints in the controller design phase for a class of Takagi-Sugeno (TS) fuzzy systems. Line integral Lyapunov function (LILF) is used to reduce the conservativeness compared to common quadratic Lyapunov function (CQLF) and fuzzy Lyapunov function (FLF). Two cases, namely unsaturating and saturating control, are studied. First, an inclusion condition is set to guarantee the behavior in a region where control constraints violation does not occur. For the second case, the saturation may take effect and is allowed. Thanks to the saturation function, convex writing to outrun the nonlinearity inconvenience. For both cases, stabilizing design procedures are proposed such that closed-loop stability and its linked performances are not affected. Furthermore, the proposed conditions enlarge the domain of stability as possible. Hence, comparisons are made with other approaches to show the effectiveness of our approach.
AbstractList This article investigates handling control constraints in the controller design phase for a class of Takagi-Sugeno (TS) fuzzy systems. Line integral Lyapunov function (LILF) is used to reduce the conservativeness compared to common quadratic Lyapunov function (CQLF) and fuzzy Lyapunov function (FLF). Two cases, namely unsaturating and saturating control, are studied. First, an inclusion condition is set to guarantee the behavior in a region where control constraints violation does not occur. For the second case, the saturation may take effect and is allowed. Thanks to the saturation function, convex writing to outrun the nonlinearity inconvenience. For both cases, stabilizing design procedures are proposed such that closed-loop stability and its linked performances are not affected. Furthermore, the proposed conditions enlarge the domain of stability as possible. Hence, comparisons are made with other approaches to show the effectiveness of our approach.
Author Mesquine, Fouad
Tiko, Souhail
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Snippet This article investigates handling control constraints in the controller design phase for a class of Takagi-Sugeno (TS) fuzzy systems. Line integral Lyapunov...
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SubjectTerms Behavioral sciences
Closed loops
Constraints
Control systems design
Fuzzy systems
Liapunov functions
line integral Lyapunov function (LILF)
Lyapunov methods
PD control
Saturation
Stability
Stability analysis
stabilization
Symmetric matrices
Takagi–Sugeno (TS)
Writing
Title Constrained Control for a Class of TS Fuzzy Systems
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