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Avtomatika i Telemekhanika, 2007, Issue 12, Pages 3–20
(Mi at1088)
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This article is cited in 3 scientific papers (total in 3 papers)
Deterministic Systems
Optimal control of the delay linear systems with allowance for the terminal state constraints
R. Gabasova, O. P. Grushevicha, F. M. Kirillovab a Belarusian State University
b Institute of Mathematics, Belarussian National Academy of Sciences, Minsk, Belarus
Abstract:
Consideration was given to the linear problem of optimal control of one type of the delay systems where the delay appears in one equation of the system mathematical model. The terminal states of the system are bounded, the optimal control is realized by the discrete control actions obeying the geometrical constraints. Consideration was given to two types of solutions – program and positional. A dual method of calculation of the optimal programs was presented. Described was an algorithm of the optimal controller generating in real time the current values of the positional solution (optimal feedback). The results obtained were illustrated by the example of control of a system with the fourth-order delay.
Citation:
R. Gabasov, O. P. Grushevich, F. M. Kirillova, “Optimal control of the delay linear systems with allowance for the terminal state constraints”, Avtomat. i Telemekh., 2007, no. 12, 3–20; Autom. Remote Control, 68:12 (2007), 2097–2112
Linking options:
https://www.mathnet.ru/eng/at1088 https://www.mathnet.ru/eng/at/y2007/i12/p3
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Statistics & downloads: |
Abstract page: | 471 | Full-text PDF : | 173 | References: | 95 | First page: | 1 |
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