 | | 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
|
| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 52, Issue 3 / 2017 | Next article >> |
| Yu.M. Zabolotnov and A.A. Lobanov, "Synthesis of a Controller for Stabilizing the Motion of a Rigid Body about a Fixed Point," Mech. Solids. 52 (3), 278-288 (2017) |
| Year |
2017 |
Volume |
52 |
Number |
3 |
Pages |
278-288 |
| DOI |
10.3103/S0025654417030050 |
| Title |
Synthesis of a Controller for Stabilizing the Motion of a Rigid Body about a Fixed Point |
| Author(s) |
Yu.M. Zabolotnov (S.P. Korolev Samara National Research University, Moskovskoe sh. 34, Samara, 443086 Russia, yumz@yandex.ru)
A.A. Lobanov (S.P. Korolev Samara National Research University, Moskovskoe sh. 34, Samara, 443086 Russia) |
| Abstract |
A method for the approximate design of an optimal controller for stabilizing the motion of a rigid body about a fixed point is considered. It is assumed that rigid body motion is nearly the motion in the classical Lagrange case. The method is based on the common use of the Bellman dynamic programming principle and the averaging method. The latter is used to solve the Hamilton-Jacobi-Bellman equation approximately, which permits synthesizing the controller. The proposed method for controller design can be used in many problems close to the problem of motion of the Lagrange top (the motion of a rigid body in the atmosphere, the motion of a rigid body fastened to a cable in deployment of the orbital cable system, etc.). |
| Keywords |
rigid body, motion about a fixed point, Lagrange top, controller synthesis, dynamic programming, averaging method |
| References |
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|
| Received |
29 April 2014 |
| Link to Fulltext |
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