Fuzzy Resilient Energy-to-Peak Filtering for Continuous-Time Nonlinear Systems

The problem of resilient energy-to-peak filtering for a class of uncertain continuous-time nonlinear systems is investigated in this paper. A Takagi-Sugeno fuzzy model with norm-bounded uncertainties is used to represent the nonlinear plant. Attention is focused on the design of an energy-to-peak fi...

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Bibliographic Details
Published inIEEE transactions on fuzzy systems Vol. 25; no. 6; pp. 1576 - 1588
Main Authors Chang, Xiao-Heng, Park, Ju H., Shi, Peng
Format Journal Article
LanguageEnglish
Published New York IEEE 01.12.2017
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Additives
Computer simulation
Continuous time systems
Continuous-time nonlinear systems
energy-to-peak filtering
Filtration
Fuzzy systems
Linear matrix inequalities
Nonlinear systems
resilient
Robustness
Symmetric matrices
System effectiveness
Takagi–Sugeno (T–S) fuzzy systems
Uncertainty
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Summary:The problem of resilient energy-to-peak filtering for a class of uncertain continuous-time nonlinear systems is investigated in this paper. A Takagi-Sugeno fuzzy model with norm-bounded uncertainties is used to represent the nonlinear plant. Attention is focused on the design of an energy-to-peak filter such that the filtering error system is asymptotically stable and the prescribed energy-to-peak filtering performance is guaranteed, where the designed filter is assumed to have additive gain variations. The proposed design is aimed at all filter matrices with gain variations, which improves the existing results on resilient energy-to-peak filtering for continuous-time systems. A simulation example is provided to show the effectiveness of the proposed methods.
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content type line 14
ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2016.2612302