Mathematical modeling in problem of searching optimal control of alloys obtaining for machine parts under uncertainty conditions

• Дата: 2014
• Автор: Demin, Dmitriy
• Формат: Стаття
• Мова: Russian
• Опубліковано: Інститут енергетичних машин і систем ім. А. М. Підгорного Національної академії наук України 2014
• Теми: mathematical model; control; power engineering; alloy; reliability; УДК 681.5; 519.24; математическая модель; управление; энергетическое машиностроение; сплав; надёжность; математична модель; керування; енергетичне машинобудування; надійність
• Онлайн доступ: https://journals.uran.ua/jme/article/view/19919
• Назва журналу: Energy Technologies & Resource Saving

The results of the research on mathematical modeling in the problems of searching the optimal final state control of alloys obtaining processes for vital parts of power engineering are described in the paper. The mathematical description of the control object is proposed. It was shown, which parameters of the mathematical model are subject to estimation for the implementation of the known methods of searching the optimal control in a linear-quadratic problem and the problem of searching the optimal final state control. The proposed procedure of estimating the structure and parameters of mathematical models, describing the alloys obtaining processes for parts of power engineering in electric furnaces allows to avoid the main difficulties, related to the presence of multilevel uncertainty and complexity of mathematical description of melting control. Implementation of this procedure, based on obtaining the analytical description of interrelation between output and fuzzy input variables in the form of regression equation and further use of this description in the structural circuit of the control system allows to obtain a stable chemical composition and microstructure of the alloy, determining its high mechanical properties. The proposed algorithm for estimating the parameters of the mathematical model of the studied process in the conditions of two-level uncertainty can be applied in solving the problems of technical implementation of alloys obtaining control systems in APCS (Automatic Process Control System) as it allows real-time calculation of those parameters, which are not subject to direct control during the manufacturing process.