{"id":11681,"date":"2026-04-22T09:13:21","date_gmt":"2026-04-22T08:13:21","guid":{"rendered":"https:\/\/izvestiyakbncran.ru\/?page_id=11681"},"modified":"2026-06-04T10:23:01","modified_gmt":"2026-06-04T09:23:01","slug":"28-2-2-en","status":"publish","type":"page","link":"https:\/\/izvestiyakbncran.ru\/index.php\/en\/28-2-2-en\/","title":{"rendered":"28.2.2 En"},"content":{"rendered":"\n

Synthesis algorithm for a phase shift control system using generalized Galerkin method<\/strong><\/h2>\n\n\n\n

A.V. Statkevich<\/strong><\/p>\n\n\n\n

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Abstract<\/strong><\/strong>. <\/em>This paper examines a pressing engineering problem: synthesizing the parameters of a system with a variable structure. The primary subject of the study is a control system incorporating a phase-shifting filter. Phase-shifting filters are widely used in modern digital signal processing. Their key advantages \u2013 flexible configuration and high accuracy in achieving the required characteristics \u2013 make them indispensable in areas such as telecommunications; radar; audio equipment; and automatic control systems. The objective is to synthesize system parameters that ensure the following conditions: operational stability; required dynamic characteristics; minimization of tracking errors; and adaptability to changing external conditions.
Aim<\/strong>. The study is to develop an effective approach to tuning control systems containing phase-shifting filters.
Results<\/strong>. A mathematical model of a non-stationary system with a variable structure was constructed; a generalized Galerkin method was proposed for synthesizing an automatic control system with a variable structure; an algorithm for synthesizing an automatic control system with a variable structure was developed using the generalized Galerkin method as an example of a phase-shifting filter.
Conclusions<\/strong>. The proposed approach opens new possibilities for creating efficient, flexible, and reliable control systems with phase-shifting filters.<\/p>\n\n\n\n

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Keywords<\/strong><\/em><\/strong>:<\/em> phase-shifting filter, sliding motion, variable-structure system, generalized Galerkin method, variable-structure system, non-stationary system, synthesis of automatic control systems, mathematical description, differential equation of a control system, automatic control system<\/p>\n\n\n\n

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For citation<\/strong>.<\/strong> Statkevich A.V. Synthesis algorithm for a phase shift control system using generalized Galerkin method. News of the Kabardino-Balkarian Scientific Center of RAS<\/em>. 2026. Vol. 28. No. 2. Pp. 25\u201333. DOI: 10.35330\/1991-6639-2026-28-2-25-33<\/p>\n\n\n\n

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\u00a9   Statkevich A.V., 2026<\/p>\n\n\n\n

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Content is available under license Creative Commons Attribution 4.0 License<\/a><\/p>\n<\/div>\n\n\n\n

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R<\/strong>eferences<\/summary>\n
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  6. Statkevich A.V., Shishlakov V.F. Application of phase-shifting filters for solving the synthesis problem. Matematicheskiye metody i modeli v vysokotekhnologichnom proizvodstve<\/em> [Mathematical Methods and Models in High-Tech Production]: collection of abstracts, IV International Forum in 2 parts. St. Petersburg, November 6, 2024. Pp. 281\u2013283. (In Russian)<\/li>\n\n\n\n
  7. Statkevich A.V., Shishlakov V.F. Systems with variable structure: an example of a sliding mode of operation. XXVII Int. Sci. Conf. \u201cVolnovaya elektronika i infokommunikatsionnyye sistemy\u201d<\/em> [Wave Electronics and Infocommunication Systems]: St. Petersburg, June 3\u20137, 2024, collection of articles in 3 parts. Part 3, 329 p. (In Russian)<\/li>\n\n\n\n
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  11. Shishlakov D.V., Shishlakov V.F., Grechkin N.L., Vataeva E.Yu. Synthesis of multivariable ACS with polynomial approximation of nonlinear characteristics. IV-th International Forum Matematicheskiye metody i modeli v vysokotekhnologichnom proizvodstve<\/em> [Mathematical Methods and Models in High-Tech Production]: collection of abstracts in 2 parts. St. Petersburg, November 6, 2024. Pp. 422\u2013424. (In Russian)<\/li>\n\n\n\n
  12. Shishlakov V.F., Shishlakov A.V., Timofeev S.S. Sintez SAU pri razlichnykh vidakh approksimatsii nelineynykh kharakteristik: teoriya i praktika<\/em> [Synthesis of ACS with different types of approximation of nonlinear characteristics: theory and practice]: monograph. St. Petersburg: GUAP, 2017. (In Russian)<\/li>\n\n\n\n
  13. Shishlakov V.F. Sintez impul’snykh sistem avtomaticheskogo upravleniya vo vremennoy oblasti<\/em> [Synthesis of pulse automatic control systems in the time domain]. Diss. \u2026 Doctor of Technical Sciences: 05.13.01. St. Petersburg, 2001. 325 p. (In Russian)<\/li>\n\n\n\n
  14. Grechkin N.L., Vataeva E.Yu., Shishlakov D.V. Solution of the problem of synthesis of linear automatic control systems using the generalized Galerkin method. Zavalishinskiye chteniya 23: Sbornik dokladov XVIII Mezhdunarodnoy konferentsii po elektromekhanike i robototekhnike<\/em> [Zavalishinsky Readings 23: collection of papers of the XVIII International Conference on Electromechanics and Robotics] St. Petersburg, April 18\u201319, 2023. Pp. 96\u201398. (In Russian)<\/li>\n\n\n\n
  15. Krivolapchuk I.G., Vataeva E.Yu., Reshetnikova N.V., Shishlakov V.F. Regulator based on imprecise sets. Sbornik statey v 2-h chastyah XXII Mezhdunarodnoy nauchnoy konferentsii: \u201cVolnovaya elektronika i infokommunikatsionnyye sistemy\u201d<\/em> [Collection of papers in 2 parts of the XXII International Scientific Conference: \u201cWave Electronics and Infocommunication Systems\u201d] St. Petersburg, June 3\u20137, 2019. Part 2. Pp. 257\u2013262. (In Russian)<\/li>\n<\/ol>\n<\/details>\n\n\n\n
    Information about the author<\/strong><\/summary>\n
    \n

    Anastasia V. Statkevich<\/strong>, Senior Lecturer, Department of Management in Technical Systems, SaintPetersburg State University of Aerospace Instrumentation;
    67, Let. A, Bolshaya Morskaia street, Saint-Petersburg, 190000, Russia;
    astat19@yandex.ru, ORCID: https:\/\/orcid.org\/0009-0006-5413-4938, SPIN-code: 7825-7540<\/p>\n\n\n\n


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    Funding<\/strong><\/summary>\n

    This work was supported by the Ministry of Science and Higher Education of the Russian Federation, agreement No. FSRF-2023-0003, \u201cFundamental principles for constructing interference-resistant systems of space and satellite communications, relative navigation, machine vision, and aerospace monitoring\u201d.<\/p>\n\n\n\n

    <\/p>\n<\/details>\n\n\n\n

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    Synthesis algorithm for a phase shift control system using generalized Galerkin method A.V. Statkevich Abstract. This paper examines a pressing engineering problem: synthesizing the parameters of a system with a variable structure. The primary subject of the study is a control system incorporating a phase-shifting filter. Phase-shifting filters are widely used in modern digital signal […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"wp-custom-template-home","meta":{"footnotes":""},"class_list":["post-11681","page","type-page","status-publish","hentry"],"yoast_head":"\n28.2.2 En - \u0418\u0417\u0412\u0415\u0421\u0422\u0418\u042f \u041a\u0410\u0411\u0410\u0420\u0414\u0418\u041d\u041e-\u0411\u0410\u041b\u041a\u0410\u0420\u0421\u041a\u041e\u0413\u041e \u041d\u0410\u0423\u0427\u041d\u041e\u0413\u041e \u0426\u0415\u041d\u0422\u0420\u0410 \u0420\u0410\u041d\u00bb<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/izvestiyakbncran.ru\/index.php\/en\/28-2-2-en\/\" \/>\n<meta property=\"og:locale\" content=\"ru_RU\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"28.2.2 En - \u0418\u0417\u0412\u0415\u0421\u0422\u0418\u042f \u041a\u0410\u0411\u0410\u0420\u0414\u0418\u041d\u041e-\u0411\u0410\u041b\u041a\u0410\u0420\u0421\u041a\u041e\u0413\u041e \u041d\u0410\u0423\u0427\u041d\u041e\u0413\u041e \u0426\u0415\u041d\u0422\u0420\u0410 \u0420\u0410\u041d\u00bb\" \/>\n<meta property=\"og:description\" content=\"Synthesis algorithm for a phase shift control system using generalized Galerkin method A.V. 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Statkevich Abstract. This paper examines a pressing engineering problem: synthesizing the parameters of a system with a variable structure. The primary subject of the study is a control system incorporating a phase-shifting filter. 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