Quasi-optimal deceleration of rotations of a rigid body with a moving mass in a resistive medium
- Autores: Akulenko L.1,2,3, Leshchenko D.4, Shchetinina Y.5
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Afiliações:
- Institute for Problems in Mechanics
- Moscow Institute of Physics and Technology
- Bauman State Technical University
- Odessa State Academy of Civil Engineering and Architecture
- Odessa National University
- Edição: Volume 56, Nº 2 (2017)
- Páginas: 186-191
- Seção: Control in Deterministic Systems
- URL: https://journals.rcsi.science/1064-2307/article/view/219826
- DOI: https://doi.org/10.1134/S1064230717020022
- ID: 219826
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Resumo
The problem of time quasi-optimal deceleration of the rotations of a dynamically symmetric rigid body is studied. It is assumed that the body contains a point mass connected to it with a strong viscoelastic element (damper). The body is acted on by a small linear resistance torque of the medium that is proportional to the angular momentum and a small control torque bounded by an ellipsoidal domain. An approximate synthesis of control is proposed, and an asymptotic solution based on a procedure of averaging the precession motion over the phase is obtained; numerical integration is performed. The main properties of the quasi-optimal motion are determined.
Sobre autores
L. Akulenko
Institute for Problems in Mechanics; Moscow Institute of Physics and Technology; Bauman State Technical University
Autor responsável pela correspondência
Email: powtampik@gmail.com
Rússia, Moscow, 119991; Dolgoprudnyi, Moscow oblast, 141700; Moscow, 105005
D. Leshchenko
Odessa State Academy of Civil Engineering and Architecture
Email: powtampik@gmail.com
Ucrânia, Odessa
Yu. Shchetinina
Odessa National University
Email: powtampik@gmail.com
Ucrânia, Odessa
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