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Синтез управления нелинейной системой Ð²Ð·Ð°Ð¸Ð¼Ð¾ÑÐ²ÑÐ·Ð°Ð½Ð½Ñ‹Ñ Ñ Ð¸Ð¼Ð¸Ñ‡ÐµÑÐºÐ¸Ñ Ñ€ÐµÐ°ÐºÑ‚Ð¾Ñ€Ð¾Ð²

выпускная квалификационная работа магистра

Синтез управления нелинейной системой Ð²Ð·Ð°Ð¸Ð¼Ð¾ÑÐ²ÑÐ·Ð°Ð½Ð½Ñ‹Ñ Ñ Ð¸Ð¼Ð¸Ñ‡ÐµÑÐºÐ¸Ñ Ñ€ÐµÐ°ÐºÑ‚Ð¾Ñ€Ð¾Ð²

Abstract

Тема выпускной квалификационной работы: «Синтез управления нелинейной системой взаимосвязанных химических реакторов». Работа посвящена повышению степени устойчивости системы взаимосвязанных химических реакторов. Задачи, которые решались в ходе исследования: Анализ предметной области; Исследование нелинейной системы взаимосвязанных химических реакторов; Обзор методов решения; Синтез управления нелинейной системой взаимосвязанных химических реакторов; Сравнительный анализ использованных методов. Было проведено исследование нелинейной системы трех взаимосвязанных химических реакторов, которое показало, что система обладает слабой устойчивостью. На основании проведенного исследования была поставлена задача повышения степени устойчивости системы. Параметры регулятора были найдены с помощью двух методов: методом модального управления на основе решения матричного алгебраического уравнения Сильвестра и методом линейных матричных неравенств. Результаты моделирования системы с управлением подтвердили работоспособность предложенных методов и достижение поставленной цели – формирование требуемой степени устойчивости процессов. Проведен сравнительный анализ методов с помощью метода ранжирования альтернатив по ценности PROMETHEE. Все вычисления проводились в пакете прикладных программ Matlab. Программа, выполняющая метод PROMETHEE, реализована с помощью языка программирования C#.

The subject of the graduate qualification work is «Synthesis of control of a nonlinear system of interconnected chemical reactors». This work is devoted to increasing the degree of stability of a system of interconnected chemical reactors. Tasks that were solved during the study: Domain analysis;Investigation of a nonlinear system of interconnected chemical reactors; Review of methods; Synthesis of control of a nonlinear system of interconnected chemical reactors; Comparative analysis of the methods used to solve the synthesis of control problem. A study of a nonlinear system of three interconnected chemical reactors was conducted, which showed that the system has low stability. Based on the conducted research, the task was set to increase the degree of stability of the system. The parameters of the regulator were found using two methods: the modal control method based on the solution of the matrix algebraic Sylvester equation and the method of linear matrix inequalities. The results of modeling the system with control confirmed the operability of the proposed control methods and the achievement of the goal – the formation of the required degree of stability of processes. A comparative analysis of the methods was carried out using the method of ranking alternatives by the value of PROMETHEE. All calculations on the research and management were carried out in the Matlab application software package. The program executing the PROMETHEE method is implemented using the C# programming language.

Keywords

centralized control, decentralized control, chemical reactor, Lyapunov exponents, Ñ Ð¸Ð¼Ð¸Ñ‡ÐµÑÐºÐ¸Ð¹ реактор, Ñ Ð°Ñ€Ð°ÐºÑ‚ÐµÑ€Ð¸ÑÑ‚Ð¸Ñ‡ÐµÑÐºÐ¸Ðµ показатели Ляпунова, Системный анализ, нелинейная система, nonlinear system, централизованное управление, децентрализованное управление

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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