Chemical Technology, Control and Management


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.

First Page


Last Page





1. N.D.Egupov, K.A.Pupkov, “Methods of classical and modern theory of auvol”, atic control. Textbook in 5 volumes. M.: Publishing MSTU. N.E. Bauman, 2004.

2. V.Antonov, V.Terekhov, I.Tyukin “Adaptive control in technical systems”, Tutorial. Publishing house: Publishing house of St. Petersburg University, 2001, 244 p.

3. V.N.Afanasyev, “Dynamic control systems with incomplete information”: Algorithmic design. Publishing house: Com Book, 2007.

4. I.N.Krutov, “Parametric optimization of control algorithms by the method of adaptive identification”, A and T, no. 10, pp.107-120, 1995.

5. E.V.Bodyansky, M.D.Boryachok, “Localoptimal pseudodual control of objects with unknown parameters” A and T. no. 2, pp. 90-97.

6. A.L.Fradkov, “Adaptive control in complex systems”, Moscow: Science, 1990, 296 p.

7. M.M.Kogan, Yu.I.Neymark, “Investigation of identifiability in adaptive averaging control systems”, A and T, no. 3, pp.108-116.

8. B.S.Darhovsky, “On the Conditions of the Roughness of a Local Optimal Stabilization System”, A and T, no. 5, pp. 41-50, 1988.

9. L.Ljung, “Identification of systems”, Theory for the user: Trans. from English Under. ed. Y.Z. Tsypkina. Moscow: Science, 1991, 432 p.

10, S.E.Shteinberg, “Identification in management systems”, Moscow: Energoavol. izdat, 1987, 80 p.

11. H.Z.Igamberdiev, J.U.Sevinov, O.O.Zaripov, “Regular methods and algorithms for the synthesis of adaptive control systems with cusvol”, models, Tashkent State Technical University, 2014, 160 p.

12. M.M.Kogan, Yu.I.Neymark “Functional capabilities of adaptive locally optimal control”, Auvol, no. 6, 1994.

13. G.L.Degtyarev, I.S.Rizayev, “Synthesis of localoptimal aircraft control algorithms”, Moscow: Mashino building, 1991, 304 p.

14. A.N.Tikhonov, V.Ya.Arsenin, “Methods for solving incorrect problems”, Moscow: Science, 1979, 288 p.

15. A.N.Tikhonov, A.V.Goncharsky, “Incorrect tasks of natural science”, Moscow: Publishing House of Moscow University, 1987, 299 p.

16. S.I.Kabanikhin, “Inverse and incorrect tasks”, Novosibirsk: Siberian Scientific Publishing House, 2009, 457 p.

17. F.R.Gantmakher, “Theory of matrices”, Moscow: Science, 1973, 575 p.

18. A.S.Leonov, “Approximate calculation of a pseudoinverse matrix using the generalized residual principle”, Journal Comput. Math and mat. Phys., vol. 25, no. 6, pp. 933-935, 1985.

19. I.V.Kochikov, A.N.Matvienko, A.G.Yagola, “On a modification of the generalized discrepancy principle”, Journal Comput. Math and mat. Phys., vol. 23, no. 6, pp. 1298-1303, 1983.

20, A.S.Leonov, “The method of minimal pseudoinverse matrix: theory and numerical”, implementation Journal Comput. Math and mat. Phys., vol. 31, no. 10, pp. 1424-1443, 1991.

Included in

Engineering Commons



To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.