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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Original Russian Text © L.D. Akulenko, D.D. Leshchenko, Yu.S. Shchetinina, 2017, published in Izvestiya Akademii Nauk, Teoriya i Sistemy Upravleniya, 2017, No. 2, pp. 16–21.
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Akulenko, L.D., Leshchenko, D.D. & Shchetinina, Y.S. Quasi-optimal deceleration of rotations of a rigid body with a moving mass in a resistive medium. J. Comput. Syst. Sci. Int. 56, 186–191 (2017). https://doi.org/10.1134/S1064230717020022
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DOI: https://doi.org/10.1134/S1064230717020022