Reduction of multidimensional relations in fuzzy control systems

Alexander Emilov Gegov, Paul M. Frank

Research output: Contribution to journalArticlepeer-review

Abstract

The paper investigates the conditions for reducing multidimensional relations in fuzzy control systems to two-dimensional ones. Some theoretical preliminaries, regarding this reduction, are given. A control algorithm, based on active reduction, is proposed and its efficiency with respect to on-line computations is evaluated. A numerical example is solved for illustration of the theoretical results. It is shown that the respective control law is simplified and thus real time control implementation is facilitated.
Original languageEnglish
Pages (from-to)307–313
Number of pages7
JournalSystems and Control Letters
Volume25
Issue number4
DOIs
Publication statusPublished - 1 Jul 1995

Keywords

  • Fuzzy relations
  • Reduction
  • Linguistic modelling
  • Multivariable systems
  • Knowledge-based control
  • Fuzzy control

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