 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 55, Issue 8 / 2020 | Next article >> |
| Akulenko L.D. and Sirotin A.N., "Particular Extremals in the Optimal Control Problems of the Reorientation of an Asymmetric Rotating Body," Mech. Solids. 55 (8), 1142-1156 (2020) |
| Year |
2020 |
Volume |
55 |
Number |
8 |
Pages |
1142-1156 |
| DOI |
10.3103/S0025654420080026 |
| Title |
Particular Extremals in the Optimal Control Problems of the Reorientation of an Asymmetric Rotating Body |
| Author(s) |
Akulenko L.D. (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia)
Sirotin A.N. (Moscow Aviation Institute, Moscow, 125080 Russia, asirotin2@yandex.ru) |
| Abstract |
The optimal control problem regarding the reorientation of an asymmetric rigid body has
been investigated. The integral-quadratic functional consistent with the inertial symmetry of the body,
which characterizes the total energy consumption, has been chosen as the criterion. Control is considered to be the main moment of applied external forces. An explicit description of a family of extremals
for an arbitrary asymmetric rigid body has been obtained. The idea of constructing such extremals is
based on the study of spatio-temporal deformations for solutions of Euler differential equations of a
rigid body’s free rotation. |
| Keywords |
reorientation, optimal control |
| Received |
11 November 2019 | Revised |
16 January 2020 | Accepted |
06 March 2020 |
| Link to Fulltext |
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