•  
  •  
 

Abstract

The problems of forming algorithms for stable control of a matrix object under conditions of parametric uncertainty are considered. Algorithms for managing the object under consideration using the matrix pseudoinversion procedure are given. Recurrent algorithms based on the fringing method are used for pseudo-inversion of matrices. These relations allow us to implement recurrent pseudo-inversion of matrices in the control algorithm and, thereby, realize control actions in the adaptive control system of the matrix object under uncertainty conditions.

First Page

164

Last Page

168

References

1. V.N.Afanas'ev, “Upravlenie neopredelenny'mi dinamicheskimi ob`ektami” [Control of uncertain dynamic objects], Moskva: Fizmatlit, 2008, 208 p. (in Russian).

2. A.A.Bobcov, A.A.Py'rkin, “Adaptivnoe i robastnoe upravlenie s kompensaciey neopredelennostey. Uchebnoe posobie” [Adaptive and robust control with uncertainty compensation. Textbook], Sank Peterburg: NIU ITMO, 2013, 135 p. (in Russian).

3. V.O.Nikiforov, A.V.Ushakov, “Upravlenie v usloviyah neopredelennosti: chuvstvitel'nost', adaptaciya, robastnost'” [Management in uncertainty: sensuality, adaptation, robustness], Sank Peterburg: SPb GITMO (TU), 2002, 232 p. (in Russian).

4. H.Z.Igamberdiev, A.N.YUsupbekov, O.O.Zaripov, “Regulyarny'e metody' ocenivaniya i upravleniya dinamicheskimi ob`ektami v usloviyah neopredelennosti” [Regular methods for evaluating and managing dynamic objects in condition uncertainty], Tashkent: TashGTU, 2012, 320 p. (in Russian).

5. V.M. Kuncevich, “O reshenii zadachi dvumernoy diskretnoy fil'tracii (Sintez matrichny'h fil'trov)” [On solving the problem of two-dimensional discrete filtering (synthesis of matrix filters)] Av.i Tel., no. 6, pp. 68-78, 1987. (in Russian).

6. E.V.Bodyanskiy, I.P.Pliss, “O reshenii zadachi upravleniya matrichny'm ob`ektom v usloviyah neopredelennosti” [On solving the problem of controlling a matrix object under conditions of uncertainty], Av.i Tel, no. 2, pp. 175-178, 1990. (in Russian).

7. V.Antonov, V.Terehov, I.Tyukin, “Adaptivnoe upravlenie v tehnicheskih sistemah. Uchebnoe posobie” [Adaptive management in technical systems. Textbook]. Izd-vo: Izd-vo Sankt-Peterburgskogo universiteta, 2001, 244 p. (in Russian).

8. A.L.Bunich, N.N.Bahtadze, “Sintez i primenenie diskretny'h sistem upravleniya s identifikatorom” [Synthesis and application of discrete control systems with an identifier], Moskva: Nauka, 2003, 232 p. (in Russian).

9. F.R.Gantmaher, “Teoriya matric” [Matrix theory], Moskva: Nauka, 1988, 552 p. (in Russian).

10. Dj.Golub, CH.Van Louch, “Matrichny'e vy'chisleniya” [Matrix calculations], Moskva: Mir, 1999, 548 p. (in Russian).

11. Horn R., Djonson CH. Matrichny'y analiz: Per. s angl. -M.: Mir., 1989. -655s.

12. Demmel' Dj. Vy'chislitel'naya lineynaya algebra. Teoriya i prilojeniya: Per. s angl. -M.: Mir, 2001 -430 s.

13. A.I.Jdanov, “Vvedenie v metody' resheniya nekorrektny'h zadach” [Introduction to methods for solving incorrect problems], Izd. Samarskogo gos. ae`rokosmicheskogo un-ta, 2006, 87 p. (in Russian).

14. CH.Louson, R.Henson, “CHislennoe reshenie zadach metoda naimen'shih kvadratov” [Numerical solution of the problem of the least squares method], Moskva: Nauka. Gl. red. fiz.-mat. lit., 1986, 232 p. (in Russian).

Included in

Engineering Commons

Share

COinS
 
 

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.