Mathematical models of control objects with coordinate-parametric couplings

DOI: 10.21293/1818-0442-2026-29-2-135-139

Download article in PDF format

JATS xml

Abstract: Relevance. Accounting for coordinate-parameter couplings (CPCs) in control objects is an essential prerequisite for improving the efficiency of automated technological complexes in the mining, metallurgical, and chemical industries. Purpose of the study. To develop new structural models of objects taking into account the mutual influence of coordinate and parameter couplings, and to form a classification of new structures of mathematical models of control objects with CPCs. Methods. The methods of system analysis, automatic control theory, and mathematical modeling of dynamic systems with delay and parametric dependencies were used. Scientific novelty. The no-velty lies in the creation of mathematical models and structural schematics for control objects with CPCs that incorporate the mutual influence of coordinate and parametric variables (including for objects with recycling), as well as in the development of a classification framework for control objects exhibit-ting coordinate-parameter couplings. Results. Mathematical model structures for four classes of objects with CPCs are proposed, along with examples of such objects in a coal preparation process complex. Practical significance lies in expanding the toolset for analyzing and synthesizing effective automated technological complexes containing control objects with CPCs through the rapid joint determination of coordinate effects and object parameters.

Keywords: control system, automated technological complex, coordinate-parameter couplings (CPCs), recycling

For citation:
Svintsov M. M., Myshlyaev L. P., Makarov G. V., Grachev V. V. Mathematical models of control objects with coordinate-parametric couplings. Doklady Tomskogo gosudarstvennogo universiteta sistem upravleniya i radioelektroniki, 2026, vol. 29, no. 2, pp. 135–139. DOI: 10.21293/1818-0442-2026-29-2-135-139

Authors and copyright holders:

  • Svintsov M. M. , Siberian State Industrial University (SibSIU), Research Center for Control Systems
  • Myshlyaev L. P. , Research Center for Control Systems
  • Makarov G. V. , Siberian State Industrial University (SibSIU), Research Center for Control Systems
  • Grachev V. V. , Siberian State Industrial University (SibSIU), Research Center for Control Systems

  • 1. Blauberg I.V., Yudin Eh.G. Stanovlenie i sushchnost sistemnogo podkhoda [Formation and essence of the systems approach]. – M.: Nauka, 1973, 270 p. (in Russ.).
  • 2. Optner S.L. Systems analysis for business and indus- trial problem solving, N.J., Prentice-Hall, 1965, 116 р.
  • 3. Laske O. Advanced Systems-Level Problem Solving, Volume 3: Manual of Dialectical Thought Forms. Cham, Springer, 2023, 234 p.
  • 4. Emelyanov S.V., Nappelbaum Eh.L. Osnovnye printsipy sistemnogo analiza [Basic principles of systems analysis]. Pro. of the Second All-Union Scientific and Technical Conference «Problems of Scientific Organization of Manage- ment of Socialist Industry»], ed. by D.M. Gvishiani, S.E. Ka- menitser, Moscow: Ehkonomika, 1974, pp. 92–99. (in Russ.).
  • 5. Emelyanov S.V., Korovin S.K. Novye tipy obratnoi svyazi: Upravlenie pri neopredelennosti [New types of feed- back: Management under uncertainty. Moscow: Nauka, Publishing company «Phys.-Math. Literature», 1997, 348 p. (in Russ.).
  • 6. Cohen M., Belta C. Adaptive and Learning-Based Control of Safety-Critical Systems. Cham, Springer, 2023, 194 p.
  • 7. Vasilkov Yu.V., Vasilkova N.N., Matematicheskoe modelirovanie ob"ektov i sistem avtomaticheskogo upravleniya [Mathematical modeling of objects and automatic control systems]. M.; Vologda: Infra-Engineering, 2025, 428 p. (in Russ.).
  • 8. Semenov A.D. Volkov A.V., Ermilina O.V. Ma- tematicheskie modeli sistem upravleniya [Mathematical models of control systems]. Moscow; Vologda: Infra-Engineering, 2022, 200 p. (in Russ.).
  • 9. Ivanova A.A., Biryukov A.B. Matematicheskoe modelirovanie teplovy`x processov neprery`vnoj razlivki metallov: monografiya [Mathematical modeling of thermal processes of continuous casting of metals: monograph]. M.: Infra-Engineer- ing Publ., 2022, 284 p. (in Russ.).
  • 10. Zarochentsev V.M. Matematicheskoe i komp`yuternoe modelirovanie v metallurgii cinka: monografiya [Mathemati- cal and computer modeling in zinc metallurgy: monograph]. Barnaul: New Format Publ., 2025, 396 p. (in Russ.).
  • 11. Zarochentsev V.M., Rutkovskii A.L., Kondratenko T.V., Makoeva A.K. [Block-modular simulation and study on a bimolecular heterogeneous interaction during roasting of metal sulfide]. Vestnik Magnitogorskogo gosudarstvennogo tekhnich- eskogo universiteta im. G.I. Nosova [Vestnik of Nosov Magni- togorsk State Technical University], 2024, vol. 22, no. 1, pp. 20–28 (in Russ.).
  • 12. Dmitriev A.N., Zolotykh M.O., Vitkina G.Yu., Marshuk L.A. [A mathematical model of metallization of titanium-magnetite ores of kachkanar deposit in midrex shaft furnace]. Ferrous metallurgy. bulletin of scientific, technical and economic information, 2021, vol. 10, pp. 1039–1045 (in Russ.).
  • 13. Myshlyaev L.P., Lvova E.I., Ivushkin K.A., Taraborina E.N. [Features of the theory and practice of identification of objects in control systems]. Fundamental research, 2014, № 11–1. pp. 519–524 (in Russ.).
  • 14. Furtat I.B., Gushchin P.A. Metody` analiza i sinteza linejny`x i nelinejny`x sistem upravleniya pri nalichii vozmushhenij i zapazdy`vaniya: monografiya [Methods of analysis and synthesis of linear and nonlinear control systems in the presence of disturbances and delays: monograph]. Moscow; Izhevsk: Institute of Computer Research, 2021, 193 p. (in Russ.).
  • 15. Aguirre L.A. An Introduction to Nonlinear System Identification. In the book: Lectures on Nonlinear Dynamics, ed. by J.R. Castilho Piqueira, C.E. Nigro Mazzilli, C.P. Pesce, G.R. Franzini. Cham: Springer, 2023, pp. 133–154.
Editorial office address

Executive Secretary of the Editor’s Office

 Editor’s Office: 40 Lenina Prospect, Tomsk, 634050, Russia

  Phone / Fax: + 7 (3822) 701-582

  journal@tusur.ru

 

Executive Secretary of the Editor’s Office

 Editor’s Office: 40 Lenina Prospect, Tomsk, 634050, Russia

  Phone / Fax: + 7 (3822) 51-21-21 / 51-43-02

Subscription for updates