HISTORY OF MATHEMATICS AND APPLICATIONS

Mathematical modeling of an ideal control loop for a non-standard type aircraft in the MATLAB environment

M. Yu. Modenov^a, A. N. Chukanov^b, E. V. Tsoi<sup>b

a</sup> Tula Mechatronic Systems LLC (Tula)
^b Tula State Lev Tolstoy Pedagogical University (Tula)

Abstract: A method for analyzing the ideal contour of an aircraft, which is necessary for designing aircraft with non-standard aerodynamic surfaces, is described. The aerodynamic surfaces of the aircraft can be considered a control channel, which is influenced by the command output unit. To create an ideal control loop, the frequency and phase characteristics were calculated. The mathematical model was tested in the MATLAB software package using the SIMULIINK add-on, taking into account various operating conditions.
In the course of the work, the transient characteristic of the process of testing the control action of the system was optimized using the developed mathematical model of the aircraft in the MATLAB SIMULINK environment.
The result of the work was the testing of an ideal control loop on a real device, while maintaining a margin of stability and flight stability with various delays of the computing module.

Keywords: control loop, MATLAB, differential filter, control coefficient, mathematical model, control action.

UDC: 004.94

Received: 17.09.2024
Accepted: 10.03.2025

DOI: 10.22405/2226-8383-2025-26-1-218-228