Passive Decentralized Fuzzy Control for Takagi-Sugeno Fuzzy Model Based Large-Scale Descriptor Systems

This paper presents a decentralized control problem for stabilizing the nonlinear large-scale descriptor (LSD) systems that use the proportional-plus-derivative state (PD) feedback scheme. The descriptor systems have a great focus on the research because they can contain more physical characteristic...

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Published inIEEE access Vol. 10; pp. 28656 - 28669
Main Authors Chang, Wen-Jer, Su, Che-Lun, Ku, Cheung-Chieh
Format Journal Article
LanguageEnglish
Published Piscataway IEEE 2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Control systems
Control systems design
Controllers
Decentralized control
Disturbances
Feedback
Fuzzy control
large-scale descriptor systems
Linear matrix inequalities
Mathematical analysis
Numerical stability
passivity constraint
Perturbation
Perturbation methods
Physical properties
proportional-plus-derivative state feedback
robust control
Robustness (mathematics)
Subsystems
Sufficient conditions
Symmetric matrices
Takagi-Sugeno model
Online AccessGet full text
ISSN2169-3536
2169-3536
DOI10.1109/ACCESS.2022.3158671

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Abstract This paper presents a decentralized control problem for stabilizing the nonlinear large-scale descriptor (LSD) systems that use the proportional-plus-derivative state (PD) feedback scheme. The descriptor systems have a great focus on the research because they can contain more physical characteristics than standard state-space systems. At first, each nonlinear subsystem in the LSD system can be represented by Takagi-Sugeno (T-S) LSD systems with interconnections. In order to be more realistic, we additionally consider external disturbances and perturbations that affect the system. Our goal is to design a decentralized (DPD) fuzzy controller, such that the T-S LSD system is stable while the external disturbances and perturbations that affect the system. For the controller design process, sufficient conditions were developed based on the quadratic Lyapunov approach, PD feedback scheme, robust constraint, passivity constraint, and linear matrix inequality (LMI) sufficient criteria. At last, two numerical examples are given to show the application of the main results.
AbstractList This paper presents a decentralized control problem for stabilizing the nonlinear large-scale descriptor (LSD) systems that use the proportional-plus-derivative state (PD) feedback scheme. The descriptor systems have a great focus on the research because they can contain more physical characteristics than standard state-space systems. At first, each nonlinear subsystem in the LSD system can be represented by Takagi-Sugeno (T-S) LSD systems with interconnections. In order to be more realistic, we additionally consider external disturbances and perturbations that affect the system. Our goal is to design a decentralized (DPD) fuzzy controller, such that the T-S LSD system is stable while the external disturbances and perturbations that affect the system. For the controller design process, sufficient conditions were developed based on the quadratic Lyapunov approach, PD feedback scheme, robust constraint, passivity constraint, and linear matrix inequality (LMI) sufficient criteria. At last, two numerical examples are given to show the application of the main results.
Author Chang, Wen-Jer
Ku, Cheung-Chieh
Su, Che-Lun
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SubjectTerms Control systems
Control systems design
Controllers
Decentralized control
Disturbances
Feedback
Fuzzy control
large-scale descriptor systems
Linear matrix inequalities
Mathematical analysis
Numerical stability
passivity constraint
Perturbation
Perturbation methods
Physical properties
proportional-plus-derivative state feedback
robust control
Robustness (mathematics)
Subsystems
Sufficient conditions
Symmetric matrices
Takagi-Sugeno model
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Title Passive Decentralized Fuzzy Control for Takagi-Sugeno Fuzzy Model Based Large-Scale Descriptor Systems
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