Explicit functions of fuzzy control systems

L. Kóczy, Michio Sugeno

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Fuzzy control systems have proved their applicability in many areas. Their user-friendliness and transparency certainly belong to their main advantages, and these two enable developing and tuning such controllers easily, without knowing their exact mathematical description. Nevertheless, it is of interest to know, what mathematical functions hide behind a set of fuzzy rules and an inference machine. For practical purposes it is necessary to consider real, implementable fuzzy control systems with reasonably low computational complexity. This paper discusses the problem of what types of functions are generated by realistic fuzzy control systems. In the paper the explicit formulae of the transference functions for practically important special cases are determined, controllers having rules with triangular and trapezoidal membership functions, and crisp consequents. Here we restrict our investigations to rules with a single input.

Original languageEnglish
Pages (from-to)515-535
Number of pages21
JournalInternational Journal of Uncertainty, Fuzziness and Knowlege-Based Systems
Volume4
Issue number6
Publication statusPublished - Dec 1996

Fingerprint

Fuzzy control
Control systems
Controllers
Fuzzy rules
Membership functions
Transparency
Computational complexity
Tuning

Keywords

  • Explicit functions
  • Fuzzy controllers
  • Rational interpolation

ASJC Scopus subject areas

  • Artificial Intelligence
  • Control and Systems Engineering

Cite this

Explicit functions of fuzzy control systems. / Kóczy, L.; Sugeno, Michio.

In: International Journal of Uncertainty, Fuzziness and Knowlege-Based Systems, Vol. 4, No. 6, 12.1996, p. 515-535.

Research output: Contribution to journalArticle

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