Gladun A. Control and stabilization of a rotarymotion of a rigid body with help of gyrodins

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0405U004571

Applicant for

Specialization

  • 01.02.01 - Теоретична механіка

09-11-2005

Specialized Academic Board

Д 11.193.01

Essay

In the thesis the problem of control and stabilization of the rotary motion of a rigid body which bears gyrodins, or doubled gyrodins is investigated. Positions of relative equilibrium and uniform rotations of the mechanical systems with gyrodins are found. The cases of relative controllability and stabilizability of systems are chosen by a linear approximation in a neighbourhood of the found fixed motions. An algorithm which gives the explicit solution of a two-point problem with respect to a part of the variables with the given degree of accuracy is proposed. Controls which the implement stabilization of a dynamic system with respect to the part of the variables have been built.

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