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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019 Number 6, Pages 64–68 (Mi vmumm3645)

This article is cited in 1 paper

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Minimax optimization for a system of line-of-sight stabilization

V. V. Latonov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The solution of the problem of minimax stabilization of the line of sight in the vicinity of the program trajectory is given. The motion of this line is described by a system of fourth-order linear differential equations. In the problem, perturbations are represented as deviations of the initial position from zero as well as constant perturbations. Stabilization is carried out through linear feedback. The feedback coefficients are calculated as optimal for the worst possible perturbations.

Key words: line of sight, optimization, stabilization, minimax control, matrix equation.

UDC: 531.382

Received: 15.01.2019


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2019, 74:6, 159–163

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