Implementation of Type-2 Fuzzy Controller in Matlab Software

Abstract

The purpose of this work is to create a Matlab toolbox that makes it easy and accessible to become acquainted with a novel control method called type-2 fuzzy controller. A toolbox for working with type-1 controllers can be found in the Simulink package, while there are only few, simple toolboxes for type-2 fuzzy controllers. The article describes the details of the created software, which allows working both with simulation objects, but also enables creating program code for a PLC industrial controller. This gives the opportunity to work in a simulation environment with a model of the control object and then, after tuning the controller, to automatically implement the controller to control the real object. In the literature, one can find many methods for reducing type-2 to type-1 fuzzy logic, but most often they are compared to several well-known classical reduction methods, such as the KM algorithm. There is no compilation of the most popular methods and a comparison of their performance. With the new toolbox it was possible to quickly create and add new reduction methods; thus, an analysis of 16 reduction methods was also presented in the article.