Experimental study of intelligent controllers under uncertainty using type-1 and type-2 fuzzy logic

Roberto Sepúlveda, Oscar Castillo, Patricia Melin, Antonio Rodríguez-Díaz, Oscar Montiel

Research output: Contribution to journalArticlepeer-review

238 Scopus citations

Abstract

Uncertainty is an inherent part in control systems used in real world applications. The use of new methods for handling incomplete information is of fundamental importance. Type-1 fuzzy sets used in conventional fuzzy systems cannot fully handle the uncertainties present in control systems. Type-2 fuzzy sets that are used in type-2 fuzzy systems can handle such uncertainties in a better way because they provide us with more parameters and more design degrees of freedom. This paper deals with the design of control systems using type-2 fuzzy logic for minimizing the effects of uncertainty produced by the instrumentation elements, environmental noise, etc. The experimental results are divided in two classes, in the first class, simulations of a feedback control system for a non-linear plant using type-1 and type-2 fuzzy logic controllers are presented; a comparative analysis of the systems' response in both cases was performed, with and without the presence of uncertainty. For the second class, a non-linear identification problem for time-series prediction is presented. Based on the experimental results the conclusion is that the best results are obtained using type-2 fuzzy systems.

Original languageEnglish
Pages (from-to)2023-2048
Number of pages26
JournalInformation Sciences
Volume177
Issue number10
DOIs
StatePublished - 15 May 2007

Keywords

  • Fuzzy control
  • Interval type-2 fuzzy sets
  • System identification
  • Type-2 fuzzy logic systems

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