Development of mathematical models of fuzzy controllers set by genetic algorithm to stabilize dynamic object

The paper presents mathematical models of two fuzzy controllers used to stabilize dynamic object (e. g. statically unstable aircraft in pitch channel). The controllers are different in structure and operating principle. They are set using the genetic algorithm. The first controller is based on the training set, the second — on the rules of fuzzy arithmetic. The design algorithms and mathematical models of the controllers are provided. The structure and operating principle of the genetic algorithm used to set the parameters of the fuzzy controllers of both types are described. The tests were conducted to study the behavior of the developed genetic algorithm in various modes; the best combinations of the controller parameters values were determined. The work also covers the result of mathematical modelling of the attitude control system operation with the proposed types of fuzzy controllers after setting, when the aircraft is affected by random perturbations. The attitude control system equipped with the designed controllers showed better speed of response as compared to the conventional control system. The proposed approach to design fuzzy controllers is recommended to solve the problems of stabilization of the non-linear unstable dynamic object with the switching of the control modes.