Time Quasi-Optimal Deceleration of Rotations of a Gyrostat with a Moving Mass in a Resistive Medium
- Autores: Akulenko L.1, Kozachenko T.2, Leshchenko D.2
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Afiliações:
- Institute for Problems in Mechanics, Russian Academy of Sciences
- Odessa State Academy of Civil Engineering and Architecture
- Edição: Volume 58, Nº 5 (2019)
- Páginas: 667-673
- Seção: Control in Deterministic Systems
- URL: https://journals.rcsi.science/1064-2307/article/view/220460
- DOI: https://doi.org/10.1134/S1064230719050022
- ID: 220460
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Resumo
The problem of time quasi-optimal deceleration of the rotations of a rigid body that includes elements with distributed and lumped parameters is studied. It is assumed that the body contains a spherical cavity filled with a highly viscous fluid (at small Reynolds numbers) and a viscoelastic element that is modeled by a moving mass connected to the body by a strong damper. The moving mass models loosely attached elements in a space vehicle, which can significantly affect the vehicle’s motion relative to its center of mass during a long period of time. In addition, the body is affected by a small medium resistance torque and a small control torque localized in a ellipsoidal domain. The problem is solved asymptotically based on the procedure of averaging the unperturbed precession over the phase. A numerical solution is obtained.
Sobre autores
L. Akulenko
Institute for Problems in Mechanics, Russian Academy of Sciences
Autor responsável pela correspondência
Email: gavrikov@ipmnet.ru
Rússia, Moscow, 119991
T. Kozachenko
Odessa State Academy of Civil Engineering and Architecture
Autor responsável pela correspondência
Email: kushpil.t.a@gmail.com
Ucrânia, Odessa
D. Leshchenko
Odessa State Academy of Civil Engineering and Architecture
Autor responsável pela correspondência
Email: leshchenko_d@ukr.net
Ucrânia, Odessa
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