ISSN 1991-2927
 

ACP № 4 (54) 2018

Author: "Maria Alexandrovna Khudiakova"

Sergei Pavlovich Bezglasny, Samara State Aerospace University named after Academician S.P. Korolev, Candidate of Physics and Mathematics; Associate Professor at the Deartment of Theoretical Mechanics of Samara State Aerospace University named after Academician S.P. Korolev (National Research University); Doctoral Candidate; graduated from the Faculty of Mechanics and Mathematics of Lomonosov Moscow State University, author of articles in the field of the theoretical mechanics, stability and control theory, and space system dynamic. [e-mail: bezglasnsp@rambler.ru]S. Bezglasny,

Maria Alexandrovna Khudiakova, Samara State Aerospace University named after Academician S.P. Korolev, Post-graduate Student at the Deartment of Theoretical Mechanics of Samara State Aerospace University named after Academician S.P. Korolev (National Research University); graduated from the Faculty of Theoretical mechanics of Aircraft of Samara State Aerospace University, author of articles in the field of the stability and control theory. [e-mail: motya31087@list.ru]M. Khudiakova

Gyrostat Orientation With Variable Moment of Inertia 32_4.pdf

The article examines a problem of a single-axis and a triaxial orientations of the gyrostat system with inertia moment of carrier wich depend on time (a variable structure). The orientation is researched relatively Koenig’s coordinate system and a random non-inertial coordinate system. The problem is solved analytically by the active control construction applied to the system of bodies on the principle of feedback. The stabilizing control and conditions providing a possibility of desired orientation are obtained. This orientation has a property of an asymptotic stability. The assigned task was being solved on the basis of the Lyapunov’s functions method and a method of limit equations and systems which enable to use the Lyapunov’s functions which possess constant signs derivatives.

Gyrostat, program motion, functions with a constant signs, lyapunov's function, asymptotic stability.

2013_ 2

Sections: Mathematical modeling, calculi of approximations and software systems

Subjects: Mathematical modeling, Electrical engineering and electronics.


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