Symbolische Analyse und Synthese von Fuzzy-Reglern durch Transformationen zwischen unscharfer und scharfer Darstellung

Analytical formulas for the transfer characteristic of several SISO-fuzzy-controllers are developped using a computer-algebra-system. Different formulations of the linguistic output variables and different inference methods can be compared with respect to their impact on control characteristic. The CoS-(Center of Singletons-)defuzzification strategy using singletons as output attributes, that is already frequently used in practice, is theoretically supported. The example of a fuzzy-PI-controller with two input variables shows application of the proposed method to the systematic design of fuzzy-controllers.