Abstract
In this paper, questions of forming and creation of steady synthesis algorithms of multidimensional controlling systems at incomplete information on object status are considered. It is shown that the matrix of feedback coupling on a status at the complete information is not determined. The different algorithms of steady calculation of a matrix pseudo-inverse to the matrix of outputs using these or those decomposition of matrixes are analyzed. Algorithms of iterative specification of a required solution of "skeletal" decomposition are given. The given expressions allow synthesizing the simplified computing procedures of synthesis of multidimensional controlling systems at incomplete information on object status.
First Page
51
Last Page
56
References
- N.D.Yegupova, “Metodi klassicheskoy i sovremennoy teorii avtomaticheskogo upravleniya” [Methods of classical and modern automatic control theory], Moskva: Izd-vo MGTU im. Baumana, 2000. (in Russian).
- V.V.Grigor'ev, N.V.Juravlyova, G.V.Luk'yanova, K.A.Sergeev, “Sintez sistem avtomaticheskogo upravleniya metodom model'nogo upravleniya” [Synthesis of automatic control systems by the model control method], Sank-Peterburg: GITMO, 2007, 108 p. (in Russian).
- V.A.Besekerskiy, Ye.P.Popov, “Teoriya sistem avtomaticheskogo upravleniya” [Theory of automatic control systems], Sank-Peterburg: Professiya, 2003, 752 p. (in Russian).
- I.V.Miroshnik, “Teoriya avtomaticheskogo upravleniya. Lineynie sistemi” [Automatic control theory. Linear system], Sank-Peterburg: Piter, 2005, 336 p. (in Russian).
- S.K.Korovin, “Nablyudateli sostoyaniya dlya lineynix sistem s neopredelennost'yu” [State observers for linier systems with uncertainty], Moskva: Fizmatlit, 2007, 224 p. (in Russian).
- F. R.Gantmacher, J.L.Brenner, “Applications of the Theory of Matrices” Courier Corporation, 2005.
- R.A.Horn, C.R.Johnson, “Matrix analysis”, Cambridge University Express, 1985.
- A.F.Verlan', V.S.Sizikov, “Integral'nie uravneniya: metodi, algoritmi, programmi” [Integral equations: methods, algorithms, programs], Kiev: Naukova dumka, 1986, 542 p.
- L.Charles, Lawson, J.Richard, Hanson, “Solving least squares problems”, Philadelphia: SIAM, 1995 337 p.
- A.I.Zhdanov, “Introduction to methods for solving ill-posed problems”, Samara state: Aerospace University, 2006, 87 p.
- Mamirov Uktam Farkhodovich, “Sustainable Algorithms for Synthesis of Regulators in Adaptive Control Systems of Parametrically Uncertain Objects”, Chemical Technology, Control and Management, vol. 2019, Iss. 4, Article 8, 2019. https://uzjournals.edu.uz/ijctcm/vol2019/iss4/8
- N.R.Yusupbekov, H.Z.Igamberdiev, U.F.Mamirov, “Algorithms of Sustainable Estimation of Unknown Input Signals in Control Systems”, Journal of Automation, Mobile Robotics & Intelligent Systems, vol. 12(4), pp. 83-86, 2018, DOI: 10.14313/JAMRIS_4-2018/29.
- A.N.Tikhonov, V.Y.Arsenin, “Methods for solving ill-posed problems”, John Wiley and Sons, Inc, p. 12, 1977.
Recommended Citation
Mamirov, Uktam Farkhodovich
(2020)
"STEADY ALGORITHMS FOR SYNTHESIS OF MULTIDIMENSIONAL CONTROLLING SYSTEMS WITH INCOMPLETE INFORMATION ABOUT THE OBJECT STATE,"
Chemical Technology, Control and Management: Vol. 2020:
Iss.
1, Article 5.
DOI: https://doi.org/10.34920/2020.1.51-56
Included in
Complex Fluids Commons, Controls and Control Theory Commons, Industrial Technology Commons, Process Control and Systems Commons