Karakalpak Scientific Journal


The article deals with the synthesis of effective algorithms for controlling a chemical reactor and developed a fuzzy synergistic controller for a class of indefinite nonlinear dynamic systems. A synergetic control scheme is proposed for solving the control problem for nonlinear systems. Non-linear systems with configurations and parameters that change over time require a completely non-linear model and adaptive control scheme for a practical operating environment. The synthesis of control laws is performed by the method of analytical design of aggregated controllers (ACAR). Fuzzy logic systems are used to evaluate the unknown nonlinear behavior of the system, and a new adaptive fuzzy controller is developed on the basis of synergetic control theory. It consists of a fuzzy system for approximating unknown system dynamics using adaptive synergic control to archive the desired characteristics. The simulation results are given on a real example to show the effectiveness of the proposed method.

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  1. Kolesnikov A.A., Sinergeticheskaya teoriya upravleniya [Synergistic Theory of Control]. Moscow: Energoatomizdat, 1994.
  2. Jiang Z, Design of a nonlinear power system stabilizer using synergetic control theory // Electric Power Systems Research 79. 2009. -P. 855–862.
  3. Z. Jiang, and R. Dougal, “Synergetic Control of Power Converters for Pulse Current Charging of Advanced Batteries from a Fuel Cell Power Source,” IEEE Transactions on Power Electronics, vol. 19, no. 4, pp. 1140–1150, July 2004
  4. A. Bezuglov, I. Kondratiev, and J. Vargas, “Synergetic Control Theory Approach for Solving Systems of Nonlinear Equations,” no. 2.
  5. Labutin A.N., Nevinisin V.Yu., Volkova G.B. Robastnoye upravleniya temperaturnim rejimom ximicheskogo reaktora //Informatika i sistemi upravleniya, 2018, №3 (57). -S.115-123.
  6. Djennoune S, Bettayeb M., Optimal synergetic control for fractional-order systems // Automatica. A Journal of IFAC, the International Federation of Automatic Control.2013. –P.2243–2249.
  7. Labutin A., Nevinitsyn V. Analytical synthesis of chemical reactor control system // IJAS, Volume 6, Number 1, 2016. –S.27-37.
  8. I.H. Sidikov, K.I. Usmanov, N.S. Yakubova. Synergetic control of nonlinear dynamic objects. «Chemical Technology. Control and Management». №2(92), 2020. pp.44-55. International scientific and technical journal.
  9. Sidikov I.H., Usmanov K.I., Yakubova N.S. Nochiziqli dinamik obyektlarni sinergetik boshqarish usulidan foydalanib sintezlash. Muxammad al-Xorazmiy avlodlari, Ilmiy-amaliy va axborot-tahliliy jurnal. № 1(11) /2020.
  10. Usmanov K.I., Babayarov R.A., Avezov T.A., Jabborov A.O. Nechetkoye upravleniye nelineynix dinamicheskix obyektov v intellektualnix sistemax. // Universum: Texnicheskiye nauki : elektron. nauchn. jurn. 2020. № 4(73).
  11. Labutin A.N., Nevinitsyn V.YU., Volkova G.V., Panasenkova A.V., V.A. Zaitsev. Sintez kaskadnoy sistemi upravleniya teplovim rejimom texnologicheskogo obyekta metodami teorii sinergeticheskogo upravleniya //«Vestnik IGEU» Vip.3. 2019. –S.41-48.
  12. Uteuliev N.U., Yakubova N.S., Usmanov K.I., Yadgarva D.B. System of adaptive control of technological parameters of production of soda //Chemical Technology. Control and Management. – 2018. – T. 2018. – №. 3. – P. 181-185.
  13. Kolesnikov A.A., Veselov G.E., Popov A.N., Kolesnikov Al.A, et. al., “Synergetic control by nonlinear electromechanical systems”, ISPO-Servis, Moscow, 2000.
  14. Usmanov K.I., Sarbolayev F.N, Islomova F.K., Yakubova N.C. Adaptivno nechetkoye sinergeticheskoye upravleniye mnogomernix nelineynix dinamicheskix obyektov // Universum: Texnicheskiye nauki : elektron. nauchn. jurn. 2020. № 3(72).
  15. Lopez-Perez P.A., Neria-Gonzalez M.I., Aguilar-Lopez R. Nonlinear controller design with application to a continuous bioreactor. Theor. Found. Chem. Eng., 2013, vol. 47. –Pp. 585.
  16. Ayoubi, M. "Nonlinear dynamic systems identification with dynamic neural networks for fault diagnosis in technical processes. Proceedings of IEEE International Conference on Systems, Man and Cybernetics. Vol. 3. IEEE, 1994.



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