Real-time fuzzy digital filters (RTFDF) properties for siso systems

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Abstract

This paper describes real-time fuzzy digital filter (RTFDF) concepts considering a description of fuzzy logic and adaptive digital filter concepts with real-time properties: the basic characteristic operation of this kind of filters is known as operation regions, knowing it as linguistic natural descriptions. Illustratively, the system of output signals is classified with respect to the desired answer in linguistic natural form, requiring establishment of the membership function set with respect to these for characterizing the linguistic description in a computational sense; then, RTFDF needs a group of rules (this group is described in a mathematical sense by logic connectors (IF.... THEN....).), to consult and to discriminate inside of the knowledge base, which in the present case was constructed in a probabilistic manner. A novel RTFDF description is evaluated in two senses: in the quality of the answer, considering natural languages, and the interaction time restrictions, considering in both cases the adaptive properties. The basic results were described in this document in a formal sense, using the set definitions developed in the papers referenced below without forgetting the Nyquist and Shannon criteria to the convolution filter scheme. Fortunately, the basic concepts were illustrated showing an RTFDF simulation.

Original languageEnglish
Pages (from-to)26-34
Number of pages9
JournalAutomatic Control and Computer Sciences
Volume42
Issue number1
DOIs
StatePublished - Feb 2008

Keywords

  • Adaptive filter
  • Digital filter
  • Fuzzy logic
  • Knowledge base
  • Real time

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