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JOURNALS // Bulletin of Irkutsk State University. Series Mathematics // Archive

Bulletin of Irkutsk State University. Series Mathematics, 2011 Volume 4, Issue 2, Pages 60–74 (Mi iigum105)

On optimal control methods to dynamical object at its approaching to a mobile aim

R. Gabasova, N. M. Dmitrukb, F. M. Kirillovab

a Belarussian State University, 220030, Minsk, Belarus, av. Nezavisimosti, 4
b Institute of Mathematics of Belarussian Academy of Sciences, 220072, Minsk, Belarus, Surganov str., 11

Abstract: A linear optimal control problem at approaching the dynamical object under conditions of uncertainty with mobile aim is considered. Linear time-varying control system for which various type a priori and current information on system behaviour and disturbances influenced are investigated. Determinate and not completely determinate systems, maneuvering nonmaneuvering aims with motions being not completely determined are studied and principles of real-time control by optimal estimators and the controller are justified and tested by computer.

Keywords: approach of object, mobile aim, uncertainty, open-loop, positional solutions.

UDC: 517.977



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