Transformation lemma on analytical modeling via takagi-sugeno fuzzy system and its applications

  • Authors:
  • Jacek Kluska

  • Affiliations:
  • Faculty of Electrical and Computer Engineering, Rzeszow University of Technology, Rzeszow, Poland

  • Venue:
  • ICAISC'06 Proceedings of the 8th international conference on Artificial Intelligence and Soft Computing
  • Year:
  • 2006

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Abstract

The work presents some applications of the transformation lemma on analytical modeling using the Takagi-Sugeno fuzzy rule-based system [7], which can be used for exact fuzzy modeling of some class of conventional systems. The examples are based on recent author's theorems [5], which provide necessary and sufficient conditions for transformation of fuzzy rules into the crisp model of the system and vice-versa. The fuzzy model represents the widely used Takagi-Sugeno fuzzy system with linear membership functions. The main attention is paid for usability of the results for control engineering community.