Fuzzy Energy-to-Peak Filtering for Continuous-Time Nonlinear Singular System

This article studies the energy-to-peak filter design problem for the continuous-time nonlinear singular system. A Takagi-Sugeno fuzzy model is constructed to represent the nonlinear plant. The article focuses on the fuzzy filter design for singular system, such that the formulated filtering error s...

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Published inIEEE transactions on fuzzy systems Vol. 30; no. 7; pp. 2325 - 2336
Main Authors Chang, Xiao-Heng, Qiao, Ming-Yang, Zhao, Xudong
Format Journal Article
LanguageEnglish
Published New York IEEE 01.07.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Continuous time systems
continuous-time system
energy-to-peak (E2P) filtering
Filter design (mathematics)
Fuzzy logic
Fuzzy systems
Liapunov functions
Linear matrix inequalities
Linear systems
Mathematical analysis
Mathematical model
Nonlinear singular system
Performance analysis
Periodic structures
Takagi-Sugeno (T-S) fuzzy system
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Abstract This article studies the energy-to-peak filter design problem for the continuous-time nonlinear singular system. A Takagi-Sugeno fuzzy model is constructed to represent the nonlinear plant. The article focuses on the fuzzy filter design for singular system, such that the formulated filtering error system is admissible (regular, impulse-free, and stable) and ensures the corresponding filtering performance in the singular system. By introducing a novel Lyapunov function, design conditions of the fuzzy filter for the continuous-time singular system are proposed in the light of linear matrix inequalities representations. Finally, a practical example and the relevant simulation results are provided to demonstrate the effectiveness and feasibility of the proposed energy-to-peak filter design approach.
AbstractList This article studies the energy-to-peak filter design problem for the continuous-time nonlinear singular system. A Takagi–Sugeno fuzzy model is constructed to represent the nonlinear plant. The article focuses on the fuzzy filter design for singular system, such that the formulated filtering error system is admissible (regular, impulse-free, and stable) and ensures the corresponding filtering performance in the singular system. By introducing a novel Lyapunov function, design conditions of the fuzzy filter for the continuous-time singular system are proposed in the light of linear matrix inequalities representations. Finally, a practical example and the relevant simulation results are provided to demonstrate the effectiveness and feasibility of the proposed energy-to-peak filter design approach.
Author Qiao, Ming-Yang
Chang, Xiao-Heng
Zhao, Xudong
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Snippet This article studies the energy-to-peak filter design problem for the continuous-time nonlinear singular system. A Takagi-Sugeno fuzzy model is constructed to...
This article studies the energy-to-peak filter design problem for the continuous-time nonlinear singular system. A Takagi–Sugeno fuzzy model is constructed to...
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SubjectTerms Continuous time systems
continuous-time system
energy-to-peak (E2P) filtering
Filter design (mathematics)
Fuzzy logic
Fuzzy systems
Liapunov functions
Linear matrix inequalities
Linear systems
Mathematical analysis
Mathematical model
Nonlinear singular system
Performance analysis
Periodic structures
Takagi-Sugeno (T-S) fuzzy system
Title Fuzzy Energy-to-Peak Filtering for Continuous-Time Nonlinear Singular System
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