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Quasi-optimal deceleration of rotations of an asymmetric body in resistive medium

  • Optimal Control
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Abstract

A minimum-time problem on deceleration of rotations of a free rigid body affected by a small control torque with close but not identical coefficients is studied; such a problem can be considered as a quasi-optimal control problem. In addition, the rigid body is affected by a small deceleration viscous friction torque. The body is assumed to be dynamically asymmetric. A quasi-optimal feedback control for the deceleration of rotations of the rigid body is constructed, the optimal control time, and phase trajectories are found. The quasi-stationary trajectories are analyzed.

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Correspondence to A. L. Rachinskaya.

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Original Russian Text © L.D. Akulenko, D.D. Leshchenko, A.L. Rachinskaya, 2014, published in Izvestiya Akademii Nauk. Teoriya i Sistemy Upravleniya, 2014, No. 3, pp. 38–45.

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Akulenko, L.D., Leshchenko, D.D. & Rachinskaya, A.L. Quasi-optimal deceleration of rotations of an asymmetric body in resistive medium. J. Comput. Syst. Sci. Int. 53, 338–344 (2014). https://doi.org/10.1134/S1064230714030022

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  • DOI: https://doi.org/10.1134/S1064230714030022

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