Stable algorithms for the formation of control actions in local-optimal adaptive control systems for dynamic objects are given. Considering that the initial equations for estimating the parameters of an object and a control device, as a rule, are ill-conditioned, it becomes necessary to use regular methods. The stable algorithms for finding the desired solutions based on the methods of the minimum pseudoinverse matrix and singular decomposition, which contribute to improving the accuracy of the formation of control actions, are given.
Stable algorithms for the formation of control actions in local-optimal adaptive control systems for dynamic objects are given. Considering that the initial equations for estimating the parameters of an object and a control device, as a rule, are ill-conditioned, it becomes necessary to use regular methods. The stable algorithms for finding the desired solutions based on the methods of the minimum pseudoinverse matrix and singular decomposition, which contribute to improving the accuracy of the formation of control actions, are given.
| № | Имя автора | Должность | Наименование организации |
|---|---|---|---|
| 1 | Igamberdiyev H.Z. | Department of Information processing and control systems, Faculty Electronic and Automatic, Tashkent State Technical University, Tashkent, Uzbekistan Address: Universitetskaya-2, 100095 Tashkent city, Republic of Uzbekistan E-mail: 1ihz_tstu@gmail.com | TDTU |
| 2 | Sevinov J.U. | Department of Information processing and control systems, Faculty Electronic and Automatic, Tashkent State Technical University, Tashkent, Uzbekistan Address: Universitetskaya-2, 100095 Tashkent city, Republic of Uzbekistan E-mail:sevinovjasur@gmail.com, | TDTU |
| 3 | Yusupbekov A.N. | Department of Information processing and control systems, Faculty Electronic and Automatic, Tashkent State Technical University, Tashkent, Uzbekistan Address: Universitetskaya-2, 100095 Tashkent city, Republic of Uzbekistan E-mail:uz321@mail.ru | TDTU |
| 4 | Zaripov O.O. | Department of Information processing and control systems, Faculty Electronic and Automatic, Tashkent State Technical University, Tashkent, Uzbekistan Address: Universitetskaya-2, 100095 Tashkent city, Republic of Uzbekistan E-mail:uz321@mail.ru | TDTU |
| № | Название ссылки |
|---|---|
| 1 | 1. Egupov N.D., Pupkov K.A. Methods of classical and modern theory of automatic control. Textbook in 5 volumes. -M.: Publishing MSTU. N.E. Bauman, 2004. 2. Antonov V., Terekhov V., Tyukin I. Adaptive control in technical systems. Tutorial. Publishing house: Publishing house of St. Petersburg University, 2001. - 244 p. 3. Afanasyev V.N. Dynamic control systems with incomplete information: Algorithmic design. Publishing house: ComBook, 2007. 4. Krutov I.N. Parametric optimization of control algorithms by the method of adaptive identification // A and T, 1995. №10. - C.107-120. 5. Bodyansky E.V., Boryachok M.D. Local-optimal pseudodual control of objects with unknown parameters // A and T. 1992. No. 2. - p.90-97. 6. Fradkov A.L. Adaptive control in complex systems. -M: Science, 1990. -296 p. 7. Kogan M.M., Neymark Yu.I. Investigation of identifiability in adaptive averaging control systems // A and T. 1989. №3. - C.108-116. 8. Darhovsky B.S. On the Conditions of the Roughness of a Local-Optimal Stabilization System // A and T, 1988, No. 5. - C.41-50. 9. Ljung L. Identification of systems. Theory for the user: Trans. from English // Under. ed. Y.Z. Tsypkina. -M.: Science. 1991. -432 s. 10. Shteinberg S.E. Identification in management systems. M.: Energoatomizdat, 1987. - 80 p. 11. Igamberdiev H.Z., Sevinov J.U., Zaripov O.O. Regular methods and algorithms for the synthesis of adaptive control systems with custom models. -T.: Tashkent State Technical University, 2014. - 160 p. 12. Kogan M.M., Neymark Yu.I. Functional capabilities of adaptive locally optimal control, Autom. 1994. -№6. WITH. 94-105. 13. Degtyarev G.L., Rizayev I.S. Synthesis of local-optimal aircraft control algorithms. -M.: Mashinobuilding, 1991. - 304 p. 14. Tikhonov A.N., Arsenin V.Ya. Methods for solving incorrect problems. -M.: Science, 1979. - 288 p. 15. Tikhonov A.N., Goncharsky A.V. Incorrect tasks of natural science. –M.: Publishing House of Moscow University, 1987. - 299 p. 16. Kabanikhin S.I. Inverse and incorrect tasks. - Novosibirsk: Siberian Scientific Publishing House, 2009. - 457 p. 17. Gantmakher F.R. Theory of matrices. - M.: Science, 1973. - 575 p. 18. Leonov A.S. Approximate calculation of a pseudoinverse matrix using the generalized residual principle // Journal Comput. Math and mat. Phys., T.25, No. 6, 1985. –C. 933-935. 19. Kochikov I.V., Matvienko A.N., Yagola A.G. On a modification of the generalized discrepancy principle // Journal Comput. Math and mat. Phys., Vol.23, №6, 1983. –C. 1298-1303. 20. Leonov A.S. The method of minimal pseudoinverse matrix: theory and numerical implementation // Journal Comput. Math and mat. Phys., T.31, №10, 1991. –C. 1424-1443. |