title: ÐÐµÑÐ¾Ð´Ñ Ð¸ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ñ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸ Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¸Ñ ÑÐ¸ÑÑÐµÐ¼ ÑÐ½ÐµÑÐ³ÐµÑÐ¸ÐºÐ¸
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Methods and algorithms for stability analysis of dynamic energy systems
Creators: name: ÐÐ¾Ð¹ÑÐµÐ½ÐºÐ¾, ÐÑÐ¸Ð½Ð°
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2020
Subjects: Ð­Ð½ÐµÑÐ³ÐµÑÐ¸ÐºÐ°
ÐÑÑÐ¸ÑÐ»Ð¸ÑÐµÐ»ÑÐ½ÑÐµ Ð¼Ð°ÑÐ¸Ð½Ñ ÑÐ»ÐµÐºÑÑÐ¾Ð½Ð½ÑÐµ Ð¿ÐµÑÑÐ¾Ð½Ð°Ð»ÑÐ½ÑÐµ
ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÑ Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¸Ñ ÑÐ¸ÑÑÐµÐ¼
ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ðµ Ñ Ð¾Ð±ÑÐ°ÑÐ½Ð¾Ð¹ ÑÐ²ÑÐ·ÑÑ
Ð¿ÑÐ¾ÐµÐºÑÐ¸Ð¾Ð½Ð½ÑÐµ Ð¾Ð¿ÐµÑÐ°ÑÐ¾ÑÑ
Ð¸Ð½ÑÐµÑÐ²Ð°Ð»ÑÐ½Ð¾ Ð¾Ð¿ÑÐ¸Ð¼Ð°Ð»ÑÐ½ÑÐµ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ
steadiness of dynamic systems
feedback control
projection operators
interval optimal controls

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description: The subject of the graduate qualification work is "Methods and algorithms for analyzing the stability of dynamic energy systems". The given work is devoted to studying of the stability of systems with limited interval-optimal control methods. The research set the following goals: 1. The calculation of the optimal interval control for a numerical example. 2. Investigation of the effect of changes in system parameters on the phase coordinate vector, control and output coordinate. 3. Application of the calculation parameters of the interval optimal control for energy problems. The method of forming a regulator based on output prediction was used in the work as a basic method. Numerical examples were solved for systems with prediction of 5, 10, and 20 steps. The analysis was conducted by methods of system analysis with the use of Matlab software. The study is resulted in the behavior of the system at various values of the parameters. The changeable parameters, which were selected in the work, are the initial state of the system, the radius of restrictions, outputs target vector and the degree of feedback. The correctness of the application of projection feedbacks based on interval forecasts of the dynamics of the output coordinates is proved. Based on the studies, the synthesis of interval optimal control based on projection operators for energy problems applicable to energy systems is approved.