Email this article Quasi-optimal deceleration of rotations of a rigid body with a moving mass in a resistive medium
- Authors: Akulenko L.D.1,2,3, Leshchenko D.D.4, Shchetinina Y.S.5
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Affiliations:
- 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
- Issue: Vol 56, No 2 (2017)
- Pages: 186-191
- Section: 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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Abstract
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.
About the authors
L. D. Akulenko
Institute for Problems in Mechanics; Moscow Institute of Physics and Technology; Bauman State Technical University
Author for correspondence.
Email: powtampik@gmail.com
Russian Federation, Moscow, 119991; Dolgoprudnyi, Moscow oblast, 141700; Moscow, 105005
D. D. Leshchenko
Odessa State Academy of Civil Engineering and Architecture
Email: powtampik@gmail.com
Ukraine, Odessa
Yu. S. Shchetinina
Odessa National University
Email: powtampik@gmail.com
Ukraine, Odessa
