Time Quasi-Optimal Deceleration of Rotations of a Gyrostat with a Moving Mass in a Resistive Medium
- Authors: Akulenko L.D.1, Kozachenko T.A.2, Leshchenko D.D.2
-
Affiliations:
- Institute for Problems in Mechanics, Russian Academy of Sciences
- Odessa State Academy of Civil Engineering and Architecture
- Issue: Vol 58, No 5 (2019)
- Pages: 667-673
- Section: Control in Deterministic Systems
- URL: https://journals.rcsi.science/1064-2307/article/view/220460
- DOI: https://doi.org/10.1134/S1064230719050022
- ID: 220460
Cite item
Abstract
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.
About the authors
L. D. Akulenko
Institute for Problems in Mechanics, Russian Academy of Sciences
Author for correspondence.
Email: gavrikov@ipmnet.ru
Russian Federation, Moscow, 119991
T. A. Kozachenko
Odessa State Academy of Civil Engineering and Architecture
Author for correspondence.
Email: kushpil.t.a@gmail.com
Ukraine, Odessa
D. D. Leshchenko
Odessa State Academy of Civil Engineering and Architecture
Author for correspondence.
Email: leshchenko_d@ukr.net
Ukraine, Odessa