Filtering of Interval Type-2 Fuzzy Systems With Intermittent Measurements

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Abstract

In this paper, the problem of fuzzy filter design is investigated for a class of nonlinear networked systems on the basis of the interval type-2 (IT2) fuzzy set theory. In the design process, two vital factors, intermittent data packet dropouts and quantization, are taken into consideration. The parameter uncertainties are handled effectively by the IT2 membership functions determined by lower and upper membership functions and relative weighting functions. A novel fuzzy filter is designed to guarantee the error system to be stochastically stable with H∞ performance. Moreover, the filter does not need to share the same membership functions and number of fuzzy rules as those of the plant. Finally, illustrative examples are provided to illustrate the effectiveness of the method proposed in this paper.
Original languageEnglish
Pages (from-to)668-678
Number of pages11
JournalIEEE Transactions on Cybernetics
Volume46
Issue number3
DOIs
Publication statusPublished - 1 Mar 2016

Keywords

  • H∞ filters
  • fuzzy set theory
  • fuzzy systems
  • networked control systems
  • nonlinear systems
  • stability
  • stochastic systems
  • uncertain systems
  • H∞ performance
  • IT2 fuzzy set theory
  • IT2 membership function
  • fuzzy filter design
  • fuzzy rules
  • intermittent data packet dropouts
  • intermittent measurement
  • interval type-2 fuzzy set theory
  • interval type-2 fuzzy system filtering
  • nonlinear networked systems
  • parameter uncertainties
  • quantization
  • relative weighting function
  • stochastic stability
  • Cybernetics
  • Fuzzy systems
  • Quantization (signal)
  • Stability analysis
  • Symmetric matrices
  • Uncertain systems
  • Uncertainty
  • Data packet dropouts
  • filter design
  • interval type-2 (IT2) fuzzy systems
  • nonlinear networked system

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