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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">blackmet</journal-id><journal-title-group><journal-title xml:lang="ru">Известия высших учебных заведений. Черная Металлургия</journal-title><trans-title-group xml:lang="en"><trans-title>Izvestiya. Ferrous Metallurgy</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0368-0797</issn><issn pub-type="epub">2410-2091</issn><publisher><publisher-name>National University of Science and Technology "MISIS"</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17073/0368-0797-2021-4-311-316</article-id><article-id custom-type="elpub" pub-id-type="custom">blackmet-2112</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ИНФОРМАЦИОННЫЕ ТЕХНОЛОГИИ И АВТОМАТИЗАЦИЯ В ЧЕРНОЙ  МЕТАЛЛУРГИИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>INFORMATION TECHNOLOGIES AND AUTOMATIC CONTROL IN FERROUS METALLURGY</subject></subj-group></article-categories><title-group><article-title>Задачи идентификации структур материалов на основе фрактальных представлений</article-title><trans-title-group xml:lang="en"><trans-title>Problem of identification of materials structures based on fractal representations</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-0833-4772</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Мышляев</surname><given-names>Л. П.</given-names></name><name name-style="western" xml:lang="en"><surname>Myshlyaev</surname><given-names>L. P.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Леонид Павлович Мышляев, д.т.н., профессор-консультант кафедры автоматизации и информационных систем, Сибирский государственный индустриальный университет, директор, ООО «Научно-исследовательский центр систем управления»</p><p>654007, Кемеровская обл. – Кузбасс, Новокузнецк, ул. Кирова, 42654005, Кемеровская обл. – Кузбасс, Новокузнецк, пр. Строителей, 55а</p></bio><bio xml:lang="en"><p>Leonid P. Myshlyaev, Dr. Sci. (Eng.), Prof. of the Chair “Automation and Information Systems”, Siberian State Industrial University, Director, LLC “Research Center of Control Systems”</p><p>42 Kirova Str., Novokuznetsk, Kemerovo Region – Kuzbass 65400755A Stroitelei Ave., Novokuznetsk, Kemerovo Region – Kuzbass 654005</p></bio><email xlink:type="simple">mail@nicsu.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-8980-3763</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Венгер</surname><given-names>К. Г.</given-names></name><name name-style="western" xml:lang="en"><surname>Venger</surname><given-names>K. G.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Константин Геннадьевич Венгер, к.т.н., заместитель губернатора Кузбасса по экономическому развитию</p><p>650991, Кемерово, Советский пр., 62</p></bio><bio xml:lang="en"><p>Konstantin G. Venger, Cand. Sci. (Eng.), Vice Governor of Kuzbass for Economic Development</p><p>62 Sovetskii Ave., Kemerovo, 650991</p></bio><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-0615-3820</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Грачев</surname><given-names>В. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Grachev</surname><given-names>V. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Виталий Викторович Грачев, к.т.н., доцент кафедры автоматизации и информационных систем, Сибирский государственный индустриальный университет, ООО «Научно-исследовательский центр систем управления»</p><p>654007, Кемеровская обл. – Кузбасс, Новокузнецк, ул. Кирова, 42654005, Кемеровская обл. – Кузбасс, Новокузнецк, пр. Строителей, 55а</p></bio><bio xml:lang="en"><p>Vitalii V. Grachev, Cand. Sci. (Eng.), Assist. Prof. of the Chair “Automation and Information Systems”, Siberian State Industrial University, LLC “Research Center of Control Systems”</p><p>42 Kirova Str., Novokuznetsk, Kemerovo Region – Kuzbass 65400755A Stroitelei Ave., Novokuznetsk, Kemerovo Region – Kuzbass 654005</p></bio><email xlink:type="simple">vitaly.grachev@nicsu.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-2904-3007</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Ивушкин</surname><given-names>К. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Ivushkin</surname><given-names>K. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Константин Анатольевич Ивушкин, к.э.н, генеральный директор</p><p>654034, Кемеровская обл. – Кузбасс, Новокузнецк, шоссе Кузнецкое, 9</p></bio><bio xml:lang="en"><p>Konstantin A. Ivushkin, Cand. Sci. (Economics), General Director</p><p>9 Kuznetskoe Route, Novokuznetsk, Kemerovo Region – Kuzbass 654034</p></bio><email xlink:type="simple">ivushkin@oksshs.ru</email><xref ref-type="aff" rid="aff-3"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Сибирский государственный индустриальный университет; ООО «Научно-исследовательский центр систем управления»</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Siberian State Industrial University; LLC “Research Center of Control Systems”</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Администрация Правительства Кузбасса</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Administration of the Kuzbass Government</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>ООО «Объединенная компания «Сибшахтрострой»</institution><country>Россия</country></aff><aff xml:lang="en"><institution>LLC United Company “Sibshahtostroi”</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2021</year></pub-date><pub-date pub-type="epub"><day>04</day><month>06</month><year>2021</year></pub-date><volume>64</volume><issue>4</issue><fpage>311</fpage><lpage>316</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Мышляев Л.П., Венгер К.Г., Грачев В.В., Ивушкин К.А., 2021</copyright-statement><copyright-year>2021</copyright-year><copyright-holder xml:lang="ru">Мышляев Л.П., Венгер К.Г., Грачев В.В., Ивушкин К.А.</copyright-holder><copyright-holder xml:lang="en">Myshlyaev L.P., Venger K.G., Grachev V.V., Ivushkin K.A.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://fermet.misis.ru/jour/article/view/2112">https://fermet.misis.ru/jour/article/view/2112</self-uri><abstract><p>Исследовательская работа посвящена управлению структурами материалов, которые описаны на основе фрактальных представлений. Формирование фрактальных структур материалов осуществляется за счет положительной обратной связи. Описан первый этап работы: постановки задач идентификации структур материалов на основе фрактальных представлений. Во многих исследованиях последнего времени указывается на фрактальную природу структур материалов, при этом в основе генерации фрактальных структур заложены механизмы положительных обратных связей. Фундаментальные физико-химические закономерности возникновения и трансформации структур материалов на настоящем этапе разработаны и представлены в таком виде, что их затруднительно использовать для синтеза алгоритмов управления структурами. Другими словами, они не отвечают требованиям моделей для управления – не отражают зависимость выходных воздействий от внешних факторов. Представляется полезным пойти по пути создания фрактальных моделей структур (то есть идентификации структур материалов) с последующей выработкой управляющих воздействий, в частности на параметры положительной обратной связи, для прогнозирования и изменения структуры материала в требуемом направлении. Это соответствует методу синтеза алгоритмов управления с оценкой состояний объекта управления и выбору коэффициентов усиления регулятора. Выполнены постановки задач идентификации изображений натурных структур материалов на основе представлений динамического хаоса. Данные постановки задач использованы для разработки методов и алгоритмов идентификации структур материалов в различных отраслях промышленности, в том числе в горной и металлургической промышленностях.</p></abstract><trans-abstract xml:lang="en"><p>The research work is devoted to the control of materials structures described on the basis of fractal representations. The formation of fractal structures of materials is carried out due to positive feedback. The article describes the first stage of the work – statements of the problem of identification of materials structures based on fractal representations. Many recent studies indicate the fractal nature of material structures, while the mechanisms of positive feedbacks are based on the generation of fractal structures. At the present stage, the fundamental physicochemical laws governing the emergence and transformation of material structures are developed and presented in such a way that it is difficult to use them for the synthesis of structure control algorithms. In other words, they do not meet the requirements of control models – they do not reflect the dependence of the output actions on external factors. Therefore, it seems useful to go along the path of creating fractal models of structures that are identification structures of materials and then development of control actions, in particular on the parameters of positive feedback for predicting and changing the material structure in the required direction. This corresponds to the method of control algorithms synthesis with an assessment of the control object state and choice of controller gain coefficient. In this work, the statements of the problem of identification images of natural materials structures are formulated. Firstly, fractal models are built using well-known (standard) fractals, and secondly, fractal models are generated using the fractal structure formation mechanism. In the future, these statements of the problem will be used to develop methods and algorithms for materials structuresidentification in various industries, including mining and metallurgical industries.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>структура материала</kwd><kwd>положительная обратная связь</kwd><kwd>объекты с положительной обратной связью</kwd><kwd>идентификация</kwd><kwd>фрактальные модели</kwd></kwd-group><kwd-group xml:lang="en"><kwd>material structure</kwd><kwd>positive feedback</kwd><kwd>object with positive feedback</kwd><kwd>identification</kwd><kwd>fractal model</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Работа выполнена по Госзаданию Минобрнауки России № 8.8611.2017/8.9.</funding-statement><funding-statement xml:lang="en">The work was performed according to the State Task of the Ministry of Education and Science of Russia no. 8.8611.2017/8.9.</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Емельянов С.В., Коровин С.К. 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