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Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2016-5pp.361-368

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I.M. Anan'evskii and T.A. Ishkhanyan, "Control of a double-cascade electromechanical system subject to perturbations," J. Appl. Math. Mech. 80 (5), 361-368 (2016)
Year 2016 Volume 80 Issue 5 Pages 361-368
DOI 10.1016/j.jappmathmech.2017.02.001
Title Control of a double-cascade electromechanical system subject to perturbations
Author(s) I.M. Anan'evskii (Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Moscow; Institute of Physics and Technology, Dolgoprudnyi, anan@ipmnet.ru)
T.A. Ishkhanyan (Institute of Physics and Technology, Dolgoprudnyi)
Abstract The control of a precision turntable mounted on an orbital spacecraft and designed to reduce the apparent acceleration of a container with a gravitationally sensitive load fixed on the platform is investigated. The platform is modelled by an electromechanical system consisting of three rigid bodies successively connected via electrical motors. All the bodies are able to rotate about a common axis. It is assumed that in the drive bearings there is friction, the parameters of which are unknown and variable, and the torques created by the friction are comparable in magnitude with the acceleration to be reduced. A feedback control law is proposed, which, within a finite time interval, ensures the specified motion of the container relative to the platform.
Received 16 March 2016
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