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Abstract

Algorithms are considered for the synthesis of adaptive control systems with a customized model based on the speed gradient method. For the synthesis of adaptive control systems, the identification approach is based on obtaining estimates of the unknown parameters in the object. By calculating the speed gradient, identification algorithms with an explicit and implicit customized model were obtained as well as that in sliding modes. A joint solution is given to the interrelated problems of identifying parameters with insufficient current information. The position of an object is about assessing the state with insufficient a priori information about its parameters. This adaptive algorithm provided an effective solution to the identification problem. It is used to configure the controller parameters during normal operation of the system.

First Page

51

Last Page

56

References

  1. Egupov, N.D., Pupkov, K.A. (2004). Metody klassicheskoj i sovremennoj teorii avtomaticheskogo upravleniya [Methods of classical and modern theory of automatic control]. M.: Izdatel'stvo MGTU im.N.EH.Baumana. (in Russian).
  2. L'yung, L. (1991). Identifikatsiya sistem. Teoriya dlya pol'zovatelya [System identification. Theory for the user]. M.: Nauka, 432 p. (in Russian).
  3. Emel'yanov, S.V., Korovin, S.K., Rykov, A.S. i dr. (2007). Metody identifikatsii promyshlennykh ob"ektov v sistemakh upravleniya [Methods for identifying industrial facilities in control systems]. Kemerovo: Kuzbassvuzizdat, 307 p. (in Russian).
  4. Igamberdiev, KH.Z., Sevinov, ZH.U., Zaripov, O.O. (2014). Regulyarnye metody i algoritmy sinteza adaptivnykh sistem upravleniya s nastraivaemymi modelyami [Regular methods and algorithms for the synthesis of adaptive control systems with customizable models]. T.: TashGTU, 160 p. (in Russian).
  5. Aleksandrov, A.G. (2008). Metody postroeniya sistem avtomaticheskogo upravleniya [Methods for constructing automatic control systems]. M.: Fizmatlit, 232 p. (in Russian).
  6. Miroshnik, I.V., Nikiforov, V.O., Fradkov, A.L. (2000). Nelinejnoe i adaptivnoe upravlenie slozhnymi dinamicheskimi sistemami [Nonlinear and adaptive control of complex dynamic systems]. SPb.: Nauka. 549 p. (in Russian).
  7. Nikiforov, V.O. (2003). Adaptivnoe i robastnoe upravlenie s kompensatsiej vozmushhenij [Adaptive and robust control with disturbance compensation]. M.: Nauka, 282 p. (in Russian).
  8. Boutalis, Y., Theodoridis, D., Kottas, Th., Christodoulou, M.A. (2014). System Identification and Adaptive Control. New York: Springer, 313 p.
  9. Danilin, A.V., Moiseev, S.L. (1991). Sintez samonastraivayushhikhsya sistem upravleniya ob"ektami s posledejstviem na osnove pryamogo metoda Lyapunova [Synthesis of self-adjusting object control systems with aftereffect based on the direct Lyapunov method]. AiT, 2, 119-130. (in Russian).
  10. Sevinov, J.U., Boborayimov, O.Kh. (2022). Synthesis of management systems for dynamic objects based on speed gradient algorithms. Chemical Technology, Control and Management. 3/2022, 61-65.
  11. Andrievskij, B.R., Fradkov, A.L. (2021). Metod skorostnogo gradienta i ego prilozheniya [Speed gradient method and its applications]. AiT, 9. 3-72. (in Russian).
  12. Karabutov, N.N. (2016). Adaptivnaya identifikatsiya sistem: Informatsionnyj sintez [Adaptive System Identification: Information Synthesis]. Izd.Stereotip. 384 p. (in Russian).
  13. Dzhigan, V.I. (2013). Adaptivnaya fil'tratsiya signalov. Teoriya i algoritmy [Adaptive signal filtering. Theory and algorithms]. M.: Tekhnosfera, 528 p. (in Russian).
  14. Igamberdiev, KH.Z., YUsupbekov, A.N., Zaripov, O.O. (2012). Regulyarnye metody otsenivaniya i upravleniya dinamicheskimi ob"ektami v usloviyakh neopredelennosti [Regular methods for assessing and managing dynamic objects under conditions of uncertainty]. T.: TashGTU, 320 p. (in Russian).
  15. Grigor'ev, V.V., ZHuravlyova, N.V., Luk'yanova, G.V., Sergeev, K.A. (2007). Sintez sistem avtomaticheskogo upravleniya metodom modal'nogo upravleniya [Synthesis of automatic control systems using the modal control method]. S-Pb: SPbGU ITMO, 143 p. (in Russian).
  16. Zubov, N.E., Mikrin, E.A., Ryabchenko, V.N. (2016). Matrichnye metody v teorii i prakticheskie sistem avtomaticheskogo upravleniya letatel'nykh apparatov [Matrix methods in theory and practical systems of automatic control of aircraft]. Moskva: Izdatel'stvo MGTU im. N.EH.Baumana, 666 p. (in Russian).
  17. Аlisher Mallayev, Jasur Sevinov, Suban Xusanov, Okhunjon Boborayimov. (2022). Algorithms for the synthesis of gradient controllers in a nonlinear control system. AIP Conference Proceedingsthis link is disabled (CAMSTech-II), 2467, 030003. https://doi.org/10.1063/5.0093749.
  18. Mamirov U.F. (2021). Regulyarnyj sintez sistem adaptivnogo upravleniya neopredelennymi dinamicheskimi ob"ektami [Regular synthesis of adaptive control systems for uncertain dynamic objects]. Tashkent: Bilim va intellektual salohiyat, 215 p. (in Russian).
  19. Antonov, V., Terekhov, V., Tyukin, I. (2001). Adaptivnoe upravlenie v tekhnicheskikh sistemakh [Adaptive control in technical systems]. Izd-vo: Sankt-Peterburgskogo universiteta, 244 p. (in Russian).
  20. Andrievskij B.R., Fradkov A.L. (1999). Izbrannye glavy teorii avtomaticheskogo upravleniya s primerami na yazyke MATLAB [Selected chapters of automatic control theory with examples in MATLAB]. Sankt-Peterburg: Nauka, 467 p. (in Russian).

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