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JOURNALS // Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii" // Archive

Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2022 Issue 2, Pages 15–20 (Mi ulsu144)

Analysis of the node for receiving one-time commands of the mathematical model of the heating control unit

A. A. Butov, I. R. Suleymanov, T. S. Leushkina

Ulyanovsk State University

Abstract: In this paper, a previously constructed mathematical model of the heating control unit used in the system for measuring the altitude and speed parameters of an aircraft is considered. The heating control unit makes it possible to control the health of the heating circuits of the air pressure receivers and give signs of the health of the electrical heating circuits. The block consists of a set of functional nodes that perform the assigned functions. The failure of one of the nodes can lead to unpredictable consequences, for this reason, the analysis of the nodes for receiving one-time block commands and the improvement of methods for assessing the probability of failures is important and significant. The adequacy of the constructed models is ensured by comparing the results of a computer experiment and analytical dependencies. Note that at present mathematical, especially stochastic, models are not well developed. Such models are necessary for solving optimal control problems, which, in turn, could make it possible to reduce the expended system resources and increase the reliability and non-failure performance of products in the early stages of development. The purpose of the paper is to study the model of the node for receiving a one-time command of the heating control unit.

Keywords: heating control unit, telegraph-type process, Poisson process, mathematical and simulation modeling, one-time command receiving device.

UDC: 519.21

Received: 18.09.2021
Accepted: 26.11.2022



© Steklov Math. Inst. of RAS, 2024