Quasi-Optimal Braking of Rotations of a Body with a Moving Mass Coupled to It through a Quadratic Friction Damper in a Resisting Medium
- Authors: Akulenko L.D.1, Kozachenko T.A.2, Leshchenko D.D.2
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Affiliations:
- Ishlinsky Institute for Problems in Mechanics
- Odessa State Academy of Civil Engineering and Architecture
- Issue: Vol 57, No 5 (2018)
- Pages: 689-694
- Section: Control in Deterministic Systems
- URL: https://journals.rcsi.science/1064-2307/article/view/220194
- DOI: https://doi.org/10.1134/S1064230718050027
- ID: 220194
Cite item
Abstract
This paper addresses the problem of the time-optimal braking of rotations of a dynamically symmetric rigid body under a small control moment in the ellipsoidal range with close unequal values of the ellipsoid’s semiaxes. This problem is considered a problem of quasi-optimal control. The body is assumed to have a moving mass connected to it through elastic coupling with quadratic dissipation. In addition, the body is exposed to a small braking moment of the linear resistance of the medium. The problem of synthesizing the quasi-optimal braking of the rotations of a dynamically symmetric body in a resisting medium is investigated analytically and numerically. An approximate solution is found by the phase-averaging of the processional motion. The qualitative properties of quasi-optimal motion are analyzed and the corresponding graphs are presented.
About the authors
L. D. Akulenko
Ishlinsky Institute for Problems in Mechanics
Author for correspondence.
Email: kumak@ipmnet.ru
Russian Federation, Moscow
T. A. Kozachenko
Odessa State Academy of Civil Engineering and Architecture
Email: kumak@ipmnet.ru
Ukraine, Odessa
D. D. Leshchenko
Odessa State Academy of Civil Engineering and Architecture
Email: kumak@ipmnet.ru
Ukraine, Odessa