Abstract
A modification for differential evolution method is developed to solve the problem of synthesizing a fuzzy system with optimal parameters. This modification allows you to handle both integer and continuous variables, making it possible to solve any mixed integer-continuous problems, including parametric synthesis of fuzzy control system, as it contains both types of parameters. The main idea of the modification is to change the procedure for generating the initial population, as well as the introduction of additional restrictions that ensure the correct operation of the fuzzy system. The key idea of the modification is to change the procedure for the formation of the initial population, as well as the introduction of additional restrictions that ensure the correct operation of the fuzzy system. The problem of optimizing the parameters of a fuzzy system was formalized: a fuzzy system is represented by a vector of parameters characterizing it, and a control quality criterion is considered as an object function. To illustrate the operation of the algorithm, a fuzzy system was compiled that allows solving the problem of optimal speed performance.
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