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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">10.17073/0368-0797-2021-6-447-457</article-id><article-id custom-type="elpub" pub-id-type="custom">blackmet-2134</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>Непараметрический алгоритм управления температурным режимом металла  на участке конвертер – МНЛЗ</article-title><trans-title-group xml:lang="en"><trans-title>Nonparametric control algorithm for metal temperature mode on site BOF – CCM</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-4100-5644</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Корнет</surname><given-names>М. Е.</given-names></name><name name-style="western" xml:lang="en"><surname>Kornet</surname><given-names>M. E.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Мария Евгеньевна Корнет, cоискатель степени к.т.н. кафедры информационных систем</p><p>660041, Красноярск, пр. Свободный, 79</p></bio><bio xml:lang="en"><p>Mariya Е. Kornet, Candidates for a degree of Cand. Sci. (Eng.) of the Chair of Information Systems</p><p>660041 Krasnoyarsk, Svobodnyi Ave., 79 </p></bio><email xlink:type="simple">marya.kornet@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-8161-8317</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Раскина</surname><given-names>А. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Raskina</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Анастасия Владимировна Раскина, к.т.н., доцент кафедры информационных систем</p><p>660041, Красноярск, пр. Свободный, 79</p></bio><bio xml:lang="en"><p>Anastasiya V. Raskina, Cand. Sci. (Eng.), Assist. Prof. of the Chair of In formation Systems</p><p>660041 Krasnoyarsk, Svobodnyi Ave., 79</p></bio><email xlink:type="simple">raskina.1012@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-1585-6824</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Корнеева</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Korneeva</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Анна Анатольевна Корнеева, к.т.н., доцент кафедры интеллектуальных систем управления</p><p>660041, Красноярск, пр. Свободный, 79</p></bio><bio xml:lang="en"><p>Anna A. Korneeva, Cand. Sci. (Eng.), Assist. Prof. of the Chair of Intelligent Control Systems</p><p>660041 Krasnoyarsk, Svobodnyi Ave., 79</p></bio><email xlink:type="simple">anna.korneeva.90@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Институт космических и информационных технологий СФУ</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Institute of Space and Information Technologies of SibFU</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2021</year></pub-date><pub-date pub-type="epub"><day>19</day><month>07</month><year>2021</year></pub-date><volume>64</volume><issue>6</issue><fpage>447</fpage><lpage>457</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Корнет М.Е., Раскина А.В., Корнеева А.А., 2021</copyright-statement><copyright-year>2021</copyright-year><copyright-holder xml:lang="ru">Корнет М.Е., Раскина А.В., Корнеева А.А.</copyright-holder><copyright-holder xml:lang="en">Kornet M.E., Raskina A.V., Korneeva A.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/2134">https://fermet.misis.ru/jour/article/view/2134</self-uri><abstract><p>Предложена двухуровневая система управления температурным режимом выплавки, внепечной обработки и подготовки к разливке низкоуглеродистой стали марки G/ЭT в условиях ККЦ-2 АО «Объединенный Западно-Сибирский металлургический комбинат». В  зависимости от технологической схемы возможно проектирование различных систем управления сталеплавильным комплексом с последовательным, параллельным и комбинированным включением в нее отдельных операций, процессов. На примере стали марки G/ЭT рассмотрена система управления последовательной группой объектов. Система управления включает внешний контур регулирования, позволяющий осуществлять согласованное управление отделениями цеха за счет оптимизации режима ведения технологического процесса на объекте с учетом фактически проведенной операции на предыдущем объекте. Реализован непараметрический алгоритм дуального управления, позволяющий лицу, принимающему решение (ЛПР), осуществлять совместную оперативную корректировку управляю­щих воздействий для локальных контуров управления. Проанализирован температурный режим массива плавок низкоуглеродистой стали марки G/ЭТ и выявлено, что существенное влияние на температурный режим стали оказывают длительности обработки сталеплавильного ковша на каждом этапе технологического маршрута конвертер – МНЛЗ. В соответствии с этим сформированы критерии качества управления температурным режимом. Результаты проведенного вычислительного эксперимента показали, что введение блока управления с  ЛПР способствует рациональному управлению температурным режимом металла на участке конвертер – МНЛЗ, и как следствие, получению заданного химического состава и температуры стали в более узких пределах. Это позволяет исключить отклонения от контактного графика работы основных агрегатов, увеличить количество плавок в серии и скорость непрерывной разливки.</p></abstract><trans-abstract xml:lang="en"><p>A two-level control system for the temperature mode of smelting, out-of-furnace processing and preparation for casting of low-carbon steel G/ET is proposed in the conditions of BOF shop-2 of JSC “United West Siberian Metallurgical Combine”. Depending on the technological scheme, it is possible to design various control systems for the steelmaking complex with sequential, parallel and combined inclusion of individual operations and processes. The control system of a sequential group of objects is considered on the example of steel G/ET. The control system includes an external control loop that allows coordinated control of the shop departments by optimizing the mode of technological process conducting at the facility, taking into account the actual operation performed at the previous facility. The implemented nonparametric algorithm of dual control allows the decision-maker to perform joint operational adjustment of control actions for local control loops. The temperature mode of the melts of low-carbon steel G/ET is analyzed and it is revealed that the processing time of the steel ladle at each stage of the BOF – CCM technological route has a significant impact on the steel temperature mode. In accordance with this, the criteria for temperature control quality are formed. The results of computational experiment showed that the introduction of a control unit with a decision-maker contributes to the rational control of metal temperature mode in the BOF – CCM site, and as a result, obtaining a given chemical composition and temperature of steel within narrower limits. It allows one to eliminate deviations from the contact schedule of the main units, and to increase the number of melts in the series and the rate of continuous casting.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>непараметрический алгоритм управления</kwd><kwd>автоматизация сталеплавильного производства</kwd><kwd>низкоуглеродистая сталь</kwd><kwd>диалоговая система управления</kwd></kwd-group><kwd-group xml:lang="en"><kwd>nonparametric control algorithm</kwd><kwd>automation of steelmaking</kwd><kwd>low-carbon steel</kwd><kwd>interactive control system</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Работа выполнена в рамках государственного задания Министерства науки и высшего образования Российской Федерации  (код научной темы FSRZ‑2020‑0011)</funding-statement><funding-statement xml:lang="en">The work was performed within the framework of the state task of the Ministry of Science and Higher Education of the Russian Federation  (scientific topic code FSRZ 2020 0011)</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">Chaabet M., Dötsch E. Steelmaking based on inductive melting // Induction Technology. 2012. No. 1. P. 49–58.</mixed-citation><mixed-citation xml:lang="en">Chaabet M., Dötsch E. Steelmaking based on inductive melting. Induction Technology. 2012, no. 1, pp. 49–58.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Aleksashin A.L., Schnaltzger I., Hollias G. Creation and growth of oxygen-converter steelmaking // Metallurgist. 2007. Vol. 51. No. 1. P. 60–65. https://doi.org/10.1007/s11015-007-0014-4</mixed-citation><mixed-citation xml:lang="en">Aleksashin A.L., Schnaltzger I., Hollias G. Creation and growth of oxygen-converter steelmaking. Metallurgist. 2007, vol. 51, no. 1, pp. 60–65. https://doi.org/10.1007/s11015-007-0014-4</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Głownia J. Metallurgy and Technology of Steel Castings. Bentham Science Publishers, 2017. 319 p. https://doi.org/10.2174/97816810857081170101</mixed-citation><mixed-citation xml:lang="en">Głownia J. Metallurgy and Technology of Steel Castings. Bentham Science Publishers, 2017. 319 p. https://doi.org/10.2174/97816810857081170101</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Голубцов В.А., Шуб Л.Г., Дерябин А.А., Усманов Р.С. К вопросу о повышении эффективности внепечной обработки стали // Металлург. 2006. № 12. С. 59–61.</mixed-citation><mixed-citation xml:lang="en">Golubtsov V.A., Shub L.G., Deryabin A.A., Usmanov R.G. Treating steel outside the furnace more efficiently. Metallurgist. 2006, vol.50, no. 11-12, pp. 634–637. https://doi.org/10.1007/s11015-006-0135-1</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Quan G., Zhao L., Chen T., Wang Y., Mao Y., Lv W., Zhou J. Identification for the optimal working parameters of as-extruded 42CrMo high-strength steel from a large range of strain, strain rate and temperature // Materials Science and Engineering: A. 2012. Vol. 538. P.364–373. https://doi.org/10.1016/j.msea.2012.01.062</mixed-citation><mixed-citation xml:lang="en">Quan G., Zhao L., Chen T., Wang Y., Mao Y., Lv W., Zhou J. Identification for the optimal working parameters of as-extruded 42CrMo high-strength steel from a large range of strain, strain rate and temperature. Materials Science and Engineering: A. 2012, vol. 538, pp.364–373. https://doi.org/10.1016/j.msea.2012.01.062</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Yang W., Yang J., Shi Y., Yang Z., Gao F., Zhang R., Ye G. Effect of temperature on dephosphorization of hot metal in double slag converter steelmaking process by high temperature laboratorial experiments //Steel Research International. 2021. Vol. 92. No. 3. Article 2000438. https://doi.org/10.1002/srin.202000438</mixed-citation><mixed-citation xml:lang="en">Yang W., Yang J., Shi Y., Yang Z., Gao F., Zhang R., Ye G. Effect of temperature on dephosphorization of hot metal in double slag converter steelmaking process by high temperature laboratorial experiments. Steel Research International. 2021, vol. 92, no. 3, article 2000438. https://doi.org/10.1002/srin.202000438</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Kubat C., Taşkina H., Artirb R., Yilmazc A. Bofy-fuzzy logic control for the basic oxygen furnace (BOF) // Robotics and Autonomous Systems. 2004. Vol. 49. No. 3-4. P. 193–205. https://doi.org/10.1016/j.robot.2004.09.007</mixed-citation><mixed-citation xml:lang="en">Kubat C., Taşkina H., Artirb R., Yilmazc A. Bofy-fuzzy logic control for the basic oxygen furnace (BOF). Robotics and Autonomous Systems. 2004, vol. 49, no. 3-4, pp. 193–205. https://doi.org/10.1016/j.robot.2004.09.007</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Ляховец М.В., Ивушкин К.А., Мышляев Л.П., Чернявский С.В., Львова Е.И. Современный синтез объекта управления и управляющей подсистемы // Известия вузов. Черная металлургия. 2014. Т. 57. № 12. С. 33–36. https://doi.org/10.17073/0368-0797-2014-12-33-36</mixed-citation><mixed-citation xml:lang="en">Lyakhovets M.V., Ivushkin K.A., Myshlyaev L.P., ChernyavskiiS.V., L’vova E.I. The joint synthesis of the controlled object and control subsystem. Izvestiya. Ferrous Metallurgy. 2014, vol. 57, no. 12, pp.33–36. (In Russ.). https://doi.org/10.17073/0368-0797-2014-12-33-36</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Спирин В.А., Савин А.В., Чистяков В.В. и др. Система управления стендом сушки и нагрева сталеразливочных ковшей // Современные технологии автоматизации. 2000. № 3. С. 66–71.</mixed-citation><mixed-citation xml:lang="en">Spirin V.A., Savin A.V., Chistyakov V.V., etc. Control system of the unit of steelmaking ladles drying and heating. Sovremennye tekhnologii avtomatizatsii. 2000, no. 3, pp. 66–71. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Богушевський В.С., Зубова К.М. Математическое моделирование конвертерного процесса по энергосберегающей технологии// Технологiчнi комплекси. 2013. № 2. С. 32–38.</mixed-citation><mixed-citation xml:lang="en">Bogushevs’kii V.S., Zubova K.M. Mathematical modeling of converter process with energy-saving technology. Tekhnologichni kompleksi. 2013, no. 2, pp. 32–38. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Бойко Ф.К., Птицына Е.В. Анализ способов и устройств управления процессами в электролизных и дуговых электротехнологических установках // Наука и техника Казахстана. 2006. № 1. С. 5–13.</mixed-citation><mixed-citation xml:lang="en">Boiko F.K., Ptitsyna E.V. Analysis of control methods and devices in electrolysis and arc electrotechnological plants. Nauka i tekhnika Kazakhstana. 2006, no. 1, pp. 5–13. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Jiayan Z., Weixin Y., Jiahong L. Study of oxygen lance position control strategy with self-adaptive fuzzy PID control. In: 2010 Int. Conf. on Electrical and Control Engineering, IEEE 2010. P. 2051–2054. https://doi.org/10.1109/iCECE.2010.505</mixed-citation><mixed-citation xml:lang="en">Jiayan Z., Weixin Y., Jiahong L. Study of oxygen lance position control strategy with self-adaptive fuzzy PID control. In: 2010 Int. Conf. on Electrical and Control Engineering, IEEE 2010, pp. 2051–2054. https://doi.org/10.1109/iCECE.2010.505</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Богушевский В.С., Литвинов Л.Ф., Рюмшин Н.А., Сорокин В.В. Математические модели и системы управления конвертерной плавкой. Киев: НПК «Киевский институт автоматики», 1998. 304 с.</mixed-citation><mixed-citation xml:lang="en">Bogushevskii V.S., Litvinov L.F., Ryumshin N.A., Sorokin V.V. Mathematical Models and Control Systems for Converter Smelting. Kiev: Kievskii institut avtomatiki, 1998, 304 p. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Синяков Р.В., Харченко А.В., Личконенко Н.В. Оптимизация проектирования и управления кислородно-конвертерной плавкой // Металургія. 2018. № 2. С. 18–27.</mixed-citation><mixed-citation xml:lang="en">Sinyakov R.V., Kharchenko A.V., Lichkonenko N.V. Optimization of engineering and control of oxygen converter smelting. Metalurgіya. 2018, no. 2, pp. 18–27. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Jalkanen H., Holappa L. Converter steelmaking. In: Treatise on Process Metallurgy. Elsevier. 2014. Vol. 3. P. 223–270. https://doi.org/10.1016/B978-0-08-096988-6.00014-6</mixed-citation><mixed-citation xml:lang="en">Jalkanen H., Holappa L. Converter steelmaking. In: Treatise on Process Metallurgy. Elsevier. 2014, vol. 3, pp. 223–270. https://doi.org/10.1016/B978-0-08-096988-6.00014-6</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Laciak M., Kačur J., Flegner P., Terpák J., Durdán M., Tréfa G. The mathematical model for indirect measurement of temperature in the steel-making process. In: Proceedings of the 2020 21th Int. Carpathian Control Conference (ICCC), IEEE 2020. Article 9257259. https://doi.org/10.1109/ICCC49264.2020.9257259</mixed-citation><mixed-citation xml:lang="en">Laciak M., Kačur J., Flegner P., Terpák J., Durdán M., Tréfa G. The mathematical model for indirect measurement of temperature in the steel-making process. In: Proceedings of the 2020 21th Int. Carpathian Control Conference (ICCC), IEEE 2020, article 9257259. https://doi.org/10.1109/ICCC49264.2020.9257259</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Kačur J., Laciak M., Flegner P., Terpák J., Durdán M., Tréfa G. Application of support vector regression for data-driven modeling of melt temperature and carbon content in LD converter. In: Proceedings of the 2019 20th Int. Carpathian Control Conference (ICCC), IEEE 2019. Article 8765956. http://dx.doi.org/10.1109/CarpathianCC.2019.8765956</mixed-citation><mixed-citation xml:lang="en">Kačur J., Laciak M., Flegner P., Terpák J., Durdán M., Tréfa G. Application of support vector regression for data-driven modeling of melt temperature and carbon content in LD converter. In: Proceedings of the 2019 20th Int. Carpathian Control Conference (ICCC), IEEE 2019, article 8765956. http://dx.doi.org/10.1109/CarpathianCC.2019.8765956</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Penz F.M., Schenk J., Ammer R., Klösch G., Pastucha K., ReischlM. Diffusive steel scrap melting in carbon-saturated hot metal– Phenomenological investigation at the solid–liquid interface // Materials. 2019. Vol. 12. No. 8. Article 1358. https://doi.org/10.3390/ma12081358</mixed-citation><mixed-citation xml:lang="en">Penz F.M., Schenk J., Ammer R., Klösch G., Pastucha K., Reischl M. Diffusive steel scrap melting in carbon-saturated hot metal–phenomenological investigation at the solid–liquid interface. Materials. 2019, vol. 12, no. 8, article 1358. https://doi.org/10.3390/ma12081358</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Han M., Zhao Y. Dynamic control model of BOF steelmaking process based on ANFIS and robust relevance vector machine // Expert Systems with Applications. 2011. Vol. 38. No. 12. P. 14786–14798. https://doi.org/10.1016/j.eswa.2011.05.071</mixed-citation><mixed-citation xml:lang="en">Han M., Zhao Y. Dynamic control model of BOF steelmaking process based on ANFIS and robust relevance vector machine. Expert Systems with Applications. 2011, vol. 38, no. 12, pp. 14786–14798. https://doi.org/10.1016/j.eswa.2011.05.071</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Соколов Б.М., Шепелявый А.И., Медведев А.В. Адаптивное управление конвертерной плавкой стали // Вестник Санкт-Петербургского университета. Серия 1. Математика. Механика. Астрономия. 2003. № 2. С. 58–65.</mixed-citation><mixed-citation xml:lang="en">Sokolov B.M., Shepelyavyi A.I., Medvedev A.V. Adaptive control of steel converter smelting. Vestnik Sankt-Peterburgskogo universiteta. Seriya 1. Matematika. Mekhanika. Astronomiya. 2003, no. 2, pp. 58–65. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Веревкин С.В. Разработка и применение алгоритмов произ­ водственной координации (на примере сталеплавильного комплекса): автореф. дис. канд. техн. наук. Новокузнецк: ИЦ СибГИУ, 2003. 24 с.</mixed-citation><mixed-citation xml:lang="en">Verevkin S.V. Research and application of production coordination algorithms (steelmaking complex case): Extended Abstract of Cand. Sci. Diss. Novokuznetsk: ITs SibSIU, 2003, 24 p. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Yang X., Li J., Zhang M., Yan F., Duan D., Zhang J. A further evaluation of the coupling relationship between dephosphorization and desulfurization abilities or potentials for CaO-based slags: Influence of slag chemical composition // Metals. 2018. Vol. 8. No. 12. Article 1083. https://doi.org/10.3390/met8121083</mixed-citation><mixed-citation xml:lang="en">Yang X., Li J., Zhang M., Yan F., Duan D., Zhang J. A further evaluation of the coupling relationship between dephosphorization and desulfurization abilities or potentials for CaO-based slags: Influence of slag chemical composition. Metals. 2018, vol. 8, no. 12, article 1083. https://doi.org/10.3390/met8121083</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Гулыга Д.В., Сущенко А.В. Моделирование динамики температуры металла в сталеразливочном ковше на участке конвертер– МНЛЗ // Сталь. 2004. № 9. C. 15 – 19.</mixed-citation><mixed-citation xml:lang="en">Gulyga D.V., Sushchenko A.V. Modelling of metal temperature dynamics in the ladle while moving from converter to CCM. Stal'. 2004, no. 9, pp. 15–19. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Медведев А.В. Основы теории адаптивных систем. Красноярск: изд. Сиб. гос. аэрокосмич. ун-т, 2015. 526 с.</mixed-citation><mixed-citation xml:lang="en">Medvedev A.V. Basics of Adaptive Systems Theory. Krasnoyarsk: SibSAU, 2015, 526 p. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Медведев А.В. Основы теории непараметрических систем. Красноярск: изд. СибГАУ им. Решетнева, 2018. 732 с.</mixed-citation><mixed-citation xml:lang="en">Medvedev A.V. Basics of Non-Parametric Systems Theory. Krasnoyarsk: izd. SibSAU im. Reshetneva, 2018, 732 p. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Катковник В.Я. Сходимость линейных и нелинейных непараметрических оценок «ядерного» типа // Автоматика и телемеханика. 1983. № 4. С. 108–120.</mixed-citation><mixed-citation xml:lang="en">Katkovnik V.Ya. Convergence of linear and nonlinear non-parametric “nuclear” estimates. Avtomatika i telemekhanika. 1983, no. 4, pp.108–120. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Цыбаков А.Б. О сходимости непараметрических робастных алгоритмов восстановления функций // Автомат. и телемех. 1983. № 12. С. 66–76.</mixed-citation><mixed-citation xml:lang="en">Tsybakov A.B. On convergence of non-parametric robastic algorithms for functions approximation. Avtomatika i telemekhanika. 1983, no. 12, pp. 66–76. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">Kornet M.E. Raskina A.V., Korneeva A.A., Videnin S.A., MasichI.S. Non-parametric algorithms of identification and control of group of technological processes in low-carbon steel production// Journal of Physics: Conference Series. IOP Publishing, 2020. Vol.1679. No. 4. Article 042042. https://doi.org/10.1088/1742-6596/1679/4/042042</mixed-citation><mixed-citation xml:lang="en">Kornet M.E. Raskina A.V., Korneeva A.A., Videnin S. A., Masich I.S. Non-parametric algorithms of identification and control of group of technological processes in low-carbon steel production. Journal of Physics: Conference Series. IOP Publishing. 2020, vol. 1679, no.4, article 042042. https://doi.org/10.1088/1742-6596/1679/4/042042</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
