Published December 10, 2023 | Version v1
Journal article Open

ALGORITHMS FOR SYNTHESIS OF ADAPTIVE CONTROL SYSTEMS WITH IMPLICIT REFERENCE MODELS BASED ON THE SPEED GRADIENT METHOD

  • 1. Doctor of technical sciences, prof. Tashkent State Technical University named after Islom Karimov
  • 2. PhD student of Tashkent State Technical University named after Islom Karimov

Description

Algorithms for the synthesis of adaptive control are considered, in which the reference model acts as a certain reference equation. To obtain precise statements about the properties of a generalized custom object, some auxiliary conditions such as smoothness and regularity are introduced. The use of such systems has made it possible to reduce the requirements for the structure of the main circuit and for the completeness of the measured information, which is advisable to use in the presence of strong unmeasured disturbances, as well as in problems of controlling high-order multidimensional objects, when the implementation of a reference model in the system is impossible or difficult.

Files

30_104_172-176 Sevinov-.pdf

Files (868.0 kB)

Name Size Download all
md5:cffe9d9708dd1362a7c24937ce75dc2f
868.0 kB Preview Download

Additional details

References

  • Miroshnik I.V., Nikiforov V.O., Fradkov A.L. Nonlinear and adaptive control of complex dynamic systems. -SPb.: Nauka, 2000. – 549 p.
  • Fradkov A.L. Adaptive control in complex systems: non-search methods. – Moscow: Nauka, 1990. –S. 296.
  • Andrievsky B.R., Fradkov B.R. Speed gradient method and its applications // Automation and Technology, 2021, No. 9. -WITH. 3-72.
  • Igamberdiyev X.Z., Sevinov J.U., Zaripov O.O. Regulyarniye metodi i algoritmi sinteza adaptivnix system upravleniya s nastraivayemimi modelyami. -T.: TashGTU, 2014. -160 p.
  • Igamberdiev Kh.Z., Yusupbekov A.N., Zaripov O.O. Regular methods for assessing and managing dynamic objects under conditions of uncertainty. – T.: Tashkent State Technical University, 2012. - 320 s.
  • Furtat I.B., Gushchin P.A., Nguyen B., Kolesnik N.S. Adaptive control with a guarantee of a given quality of regulation // Management of large systems, No. 102, 2023. – pp. 44-57.
  • Fradkov A.L., Grigoriev G.K., Decentralized adaptive control of synchronization of networks of dynamic systems under limited disturbances // Automation and Technology, 2013, No. 5. pp. 137–155.
  • Alisher Mallayev, Jasur Sevinov, Suban Xusanov, Okhunjon Boboraimov. Algorithms for the synthesis of gradient controllers in a nonlinear control system / Proceedings of the II International Conference on Advances in Materials, Systems and Technologies: (Camstech-Ii 2021). Krasnoyarsk, July 29-31, 2021. –pp. 51-53
  • Pechen A.N. On the speed gradient method for generating unitary quantum operations in closed quantum systems // Uspekhi Matematicheskikh Nauk, 2016, T 71, No. 3(429). –C. 205-206.
  • Sevinov J.U., Boborayimov O.Kh. Synthesis of Management Systems for Dynamic Objects Based on Speed Gradient Algorithms // International scientific and technical journal "Chemical technology. Control and management." Tashkent. 2022. No. 3. –pp. 61-63.
  • Boborayimov O.Kh., Okyay K.M. Synthesis of Control Systems With Multilayer Neural Networks Based on Velocity Gradient Methods // International scientific and technical journal "Chemical technology. Control and management." Tashkent. 2023. No. 3. –pp. 34-39.
  • Sevinov J.U., Boboraimov O.Kh., Algorithms for Synthesis of Adaptive Decentralized Control of Interconnected Systems by the Speed Gradient Method // Central Asian Journal of Theoretical and Applied Sciences. Volume: 04 Issue: 10, Oct 2023, pp. 129-137.
  • Andrievsky B.R., Guzenko P.Yu., Fradkov A.L., Control of nonlinear oscillations of mechanical systems by the speed gradient method // Automation and Technology, 1996, No. 4. – P. 4-17.
  • Andrievsky B.R., Stotsky A.A., Fradkov A.L., Speed gradient algorithms in control and adaptation problems // Automation and Technology, 1988, No. 12. – P. 3-39.
  • Bakushinsky A.B., Kokurin M.Yu. Iterative methods for solving irregular equations. - M.: Lenand, 2006. – 214 p.
  • Mamirov U.F. Regular algorithms for parametric synthesis of adaptive control systems for uncertain objects / Prospects of Development of Science and Education Proceedings of 9th Conference December 25, 2020, –PP. 44-46.
  • Voronov A, A. Stability, controllability, observability. – M.: Nauka, 1979. – 335 p.
  • Oleg Gasparyan. Multidimensional discrete automatic control systems: Method of characteristic transfer functions. LAP LAMBERT Academic Publishing, 2016. – P. 312.
  • Andrievsky B.R. Global stabilization of an unstable pendulum with flywheel control // Management of large systems, 2009, No. 24. – pp. 258-280.
  • Fradkov A.L. On the application of cybernetic methods in physics // Uspekhi Fizicheskikh Nauk, 2005, T.175, No. 2. – pp. 113-138.
  • Sharshenaliyev J. Synthesis of algorithms for adaptive control of dynamic systems // News of the National Academy of Sciences of the Kyrgyz Republic. 2009. No. 2.–P. 5-14.