Abstract:
We solve a nonlinear game problem of uniaxial reorientation for an asymmetric solid body with three flywheels (rotors). We give an estimate for admissible levels of uncontrollable noise depending on given constraints on controlling moments.
Presented by the member of Editorial Board:L. B. Rapoport
Citation:
V. I. Vorotnikov, Yu. G. Martyshenko, “On the nonlinear uniaxial reorientation problem for a three-rotor gyrostat in the game noise model”, Avtomat. i Telemekh., 2012, no. 9, 35–48; Autom. Remote Control, 73:9 (2012), 1469–1480
\Bibitem{VorMar12}
\by V.~I.~Vorotnikov, Yu.~G.~Martyshenko
\paper On the nonlinear uniaxial reorientation problem for a~three-rotor gyrostat in the game noise model
\jour Avtomat. i Telemekh.
\yr 2012
\issue 9
\pages 35--48
\mathnet{http://mi.mathnet.ru/at4060}
\zmath{https://zbmath.org/?q=an:1258.93064}
\transl
\jour Autom. Remote Control
\yr 2012
\vol 73
\issue 9
\pages 1469--1480
\crossref{https://doi.org/10.1134/S0005117912090032}
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Linking options:
https://www.mathnet.ru/eng/at4060
https://www.mathnet.ru/eng/at/y2012/i9/p35
This publication is cited in the following 5 articles:
V. I. Vorotnikov, “On Control Moments Construction for Uniaxial Reorientation Problem of Rigid Body under Disturbances”, Mehatronika, avtomatizaciâ, upravlenie, 23:12 (2022), 661
V. I. Vorotnikov, Yu. G. Martyshenko, “On Problem of Partial Detectability for Nonlinear Discrete-Time Systems”, Mehatronika, avtomatizaciâ, upravlenie, 21:3 (2020), 136
Vorotnikov V.I., Vokhmyanina A.V., “Revisiting the Nonlinear Problem of the Passage of a Three-Rotor Gyrostat Through a Given Angular Position in Space Under Uncontrollable External Disturbances”, Cosmic Res., 56:5 (2018), 382–387
Doroshin A.V., “Exact Solutions for Angular Motion of Coaxial Bodies and Attitude Dynamics of Gyrostat-Satellites”, Int. J. Non-Linear Mech., 50 (2013), 68–74
Vorotnikov V.I., Martyshenko Yu.G., “On the Nonlinear Problem of the Three-Axis Reorientation of a Three-Rotor Gyrostat in the Game Noise Model”, Cosmic Res., 51:5 (2013), 372–378