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Minimax Stabilization of the Line of Sight of an Inertial Object on a Moving Base in the Presence of a Friction Force

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Abstract

The solution of the problem of optimal stabilization of the line of sight of an inertial object in the vicinity of the program trajectory is given. The motion of this line is described by a system of nonlinear differential equations of the fourth order. The system of equations is linearized in the vicinity of the desired motion mode. In the problem solved, the perturbations are represented as deviations of the initial position from zero, as well as in the form of constant perturbations. Stabilization is carried out by means of linear feedback. In the problem, the feedback coefficients are calculated as optimal for the worst possible perturbations. Calculations are performed in two ways: a search for all possible combinations of parameters with a given sampling step and a parallel genetic algorithm.

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Funding

The publication was prepared as part of the implementation of the Program for the Creation and development of a world-class scientific center for 2020–2025 with financial support of the Ministry of Education and Science of Russia (Decree of the Government of the Russian Federation no. 2744-r dated October 24, 2020).

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  1. Central Aerohydrodynamic Institute named after N. Y. Zhukovsky, WCRC “Supersonic”, 140181, Zhukovsky, Moscow Region, Russia

    V. V. Latonov

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  1. V. V. Latonov
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Correspondence to V. V. Latonov.

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For citation: V. V. Latonov, Minimax stabilization of the line of sight of an inertial object on a moving base in the presence of a friction force. Vestn. S.-Peterb. Univ., Ser. 1: Mat., Mekh., Astron., 2022, vol. 9 (67), no. 1, pp. 135–143 (in Russian). https://doi.org/10.21638/spbu01.2022.113

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Translated by K. Gumerov

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Latonov, V.V. Minimax Stabilization of the Line of Sight of an Inertial Object on a Moving Base in the Presence of a Friction Force. Vestnik St.Petersb. Univ.Math. 55, 96–101 (2022). https://doi.org/10.1134/S106345412201006X

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  • DOI: https://doi.org/10.1134/S106345412201006X

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