Quasi-optimal deceleration of rotations of a rigid body with a moving mass in a resistive medium |
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| Authors: | L D Akulenko D D Leshchenko Yu S Shchetinina |
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| Affiliation: | 1.Institute for Problems in Mechanics,Russian Academy of Sciences,Moscow,Russia;2.Moscow Institute of Physics and Technology,Dolgoprudnyi, Moscow oblast,Russia;3.Bauman State Technical University,Moscow,Russia;4.Odessa State Academy of Civil Engineering and Architecture,Odessa,Ukraine;5.Odessa National University,Odessa,Ukraine |
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| Abstract: | The problem of time quasi-optimal deceleration of the rotations of a dynamically symmetric rigid body is studied. It is assumed that the body contains a point mass connected to it with a strong viscoelastic element (damper). The body is acted on by a small linear resistance torque of the medium that is proportional to the angular momentum and a small control torque bounded by an ellipsoidal domain. An approximate synthesis of control is proposed, and an asymptotic solution based on a procedure of averaging the precession motion over the phase is obtained; numerical integration is performed. The main properties of the quasi-optimal motion are determined. |
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