
Тема выпуÑкной квалификационной работы: «Синтез ÑƒÐ¿Ñ€Ð°Ð²Ð»ÐµÐ½Ð¸Ñ Ð½ÐµÐ»Ð¸Ð½ÐµÐ¹Ð½Ð¾Ð¹ ÑиÑтемой взаимоÑвÑзанных химичеÑких реакторов». Работа поÑвÑщена повышению Ñтепени уÑтойчивоÑти ÑиÑтемы взаимоÑвÑзанных химичеÑких реакторов. Задачи, которые решалиÑÑŒ в ходе иÑÑледованиÑ: Ðнализ предметной облаÑти; ИÑÑледование нелинейной ÑиÑтемы взаимоÑвÑзанных химичеÑких реакторов; Обзор методов решениÑ; Синтез ÑƒÐ¿Ñ€Ð°Ð²Ð»ÐµÐ½Ð¸Ñ Ð½ÐµÐ»Ð¸Ð½ÐµÐ¹Ð½Ð¾Ð¹ ÑиÑтемой взаимоÑвÑзанных химичеÑких реакторов; Сравнительный анализ иÑпользованных методов. Было проведено иÑÑледование нелинейной ÑиÑтемы трех взаимоÑвÑзанных химичеÑких реакторов, которое показало, что ÑиÑтема обладает Ñлабой уÑтойчивоÑтью. Ðа оÑновании проведенного иÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð±Ñ‹Ð»Ð° поÑтавлена задача Ð¿Ð¾Ð²Ñ‹ÑˆÐµÐ½Ð¸Ñ Ñтепени уÑтойчивоÑти ÑиÑтемы. Параметры регулÑтора были найдены Ñ Ð¿Ð¾Ð¼Ð¾Ñ‰ÑŒÑŽ двух методов: методом модального ÑƒÐ¿Ñ€Ð°Ð²Ð»ÐµÐ½Ð¸Ñ Ð½Ð° оÑнове Ñ€ÐµÑˆÐµÐ½Ð¸Ñ Ð¼Ð°Ñ‚Ñ€Ð¸Ñ‡Ð½Ð¾Ð³Ð¾ алгебраичеÑкого ÑƒÑ€Ð°Ð²Ð½ÐµÐ½Ð¸Ñ Ð¡Ð¸Ð»ÑŒÐ²ÐµÑтра и методом линейных матричных неравенÑтв. Результаты Ð¼Ð¾Ð´ÐµÐ»Ð¸Ñ€Ð¾Ð²Ð°Ð½Ð¸Ñ ÑиÑтемы Ñ ÑƒÐ¿Ñ€Ð°Ð²Ð»ÐµÐ½Ð¸ÐµÐ¼ подтвердили работоÑпоÑобноÑть предложенных методов и доÑтижение поÑтавленной цели – формирование требуемой Ñтепени уÑтойчивоÑти процеÑÑов. Проведен Ñравнительный анализ методов Ñ Ð¿Ð¾Ð¼Ð¾Ñ‰ÑŒÑŽ метода Ñ€Ð°Ð½Ð¶Ð¸Ñ€Ð¾Ð²Ð°Ð½Ð¸Ñ Ð°Ð»ÑŒÑ‚ÐµÑ€Ð½Ð°Ñ‚Ð¸Ð²Â Ð¿Ð¾ ценноÑти PROMETHEE. Ð’Ñе вычиÑÐ»ÐµÐ½Ð¸Ñ Ð¿Ñ€Ð¾Ð²Ð¾Ð´Ð¸Ð»Ð¸ÑÑŒ в пакете прикладных программ Matlab. Программа, выполнÑÑŽÑ‰Ð°Ñ Ð¼ÐµÑ‚Ð¾Ð´ PROMETHEE, реализована Ñ Ð¿Ð¾Ð¼Ð¾Ñ‰ÑŒÑŽ Ñзыка Ð¿Ñ€Ð¾Ð³Ñ€Ð°Ð¼Ð¼Ð¸Ñ€Ð¾Ð²Ð°Ð½Ð¸Ñ 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.
centralized control, decentralized control, chemical reactor, Lyapunov exponents, Ñ Ð¸Ð¼Ð¸ÑеÑкий ÑеакÑоÑ, Ñ Ð°ÑакÑеÑиÑÑиÑеÑкие показаÑели ÐÑпÑнова, СиÑÑемнÑй анализ, Ð½ÐµÐ»Ð¸Ð½ÐµÐ¹Ð½Ð°Ñ ÑиÑÑема, nonlinear system, ÑенÑÑализованное ÑпÑавление, деÑенÑÑализованное ÑпÑавление
centralized control, decentralized control, chemical reactor, Lyapunov exponents, Ñ Ð¸Ð¼Ð¸ÑеÑкий ÑеакÑоÑ, Ñ Ð°ÑакÑеÑиÑÑиÑеÑкие показаÑели ÐÑпÑнова, СиÑÑемнÑй анализ, Ð½ÐµÐ»Ð¸Ð½ÐµÐ¹Ð½Ð°Ñ ÑиÑÑема, nonlinear system, ÑенÑÑализованное ÑпÑавление, деÑенÑÑализованное ÑпÑавление
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