Transformation Lemma on Analytical Modeling Via Takagi-Sugeno Fuzzy System and Its Applications

  • Jacek Kluska
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4029)


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.


Fuzzy System Fuzzy Rule Fuzzy Control Nonlinear Dynamical System Linear Membership Function 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Jacek Kluska
    • 1
  1. 1.Faculty of Electrical and Computer EngineeringRzeszow University of TechnologyRzeszowPoland

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