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IssuesArchive of Issues2013-3pp.305-313

Archive of Issues

Total articles in the database: 1813
In Russian (): 1014
In English (J. Appl. Math. Mech.): 799

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L.D. Akulenko and A.N. Sirotin, "Trigonometric extremals in the optimal control problem of the reorientation of the axis of a dynamically symmetric rotating body," J. Appl. Math. Mech. 77 (3), 305-313 (2013)
Year 2013 Volume 77 Issue 3 Pages 305-313
Title Trigonometric extremals in the optimal control problem of the reorientation of the axis of a dynamically symmetric rotating body
Author(s) L.D. Akulenko (Moscow, Russia)
A.N. Sirotin (Moscow, Russia, asirotin2@yandex.ru)
Abstract The problem of the optimal reorientation of an axisymmetric rigid body with a non-zero angular velocity is considered. An integral-quadratic functional, matched with the inertial symmetry of the body and characterizing the total energy consumption, is chosen as the criterion. The net torque of the applied external forces is the control. The control problem is investigated assuming that jet engines are used and the manœuvre leading to the least consumption of the working medium is therefore of interest. An explicit description of the family of analytical extremals, represented by trigonometric functions of time, is obtained. The construction of these extremals is based on a study of the space-time deformations of the solutions of the Euler-Poinsot equations for the free rotation of a body with similar symmetry characteristics.
Received 10 April 2012
Link to Fulltext http://www.sciencedirect.com/science/article/pii/S0021892813001056
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