Modeling and Analysis of Qualitative Systems Based on a New Fuzzy Inference Approach

Qualitative modeling of technical processes may be accomplished by dynamic fuzzy systems. A new inference method with interpolating rules is proposed as an essential basis for the analysis of this class of systems. Using this approach, the system output is dependent on both an interpolating rule derived from the fuzzy input and the fuzzy input itself. A simple example shows the typical behavior of such dynamic fuzzy systems and leads to a stability definition. Keywords: dynamic fuzzy systems, inference with interpolating rules, stability analysis of dynamic fuzzy systems 1 Introduction Most control engineering applications of fuzzy logic are based on a set of rules with fuzzy premises and fuzzy conclusions. To describe complex processes qualitatively, a fuzzy output dependent on fuzzy input variables has to be calculated. There exist various reasoning methods [1,4] with particular interpretation of the fuzzy rules. The shape of the membership function of the fuzzy output calculated ..