Abstract
A formulation and solution procedure of optimal control problems for perturbed relative uniform motion of a body with a cavity filled with a viscous incompressible fluid are proposed. In this paper, the case with a cylinder is considered; however, this approach is basically true for the a cavity of an arbitrary form. The formula for the angular velocity of perturbed motion depending on an external perturbing element is devised. After that, we have a possibility to set different optimal control problems and apply the formalism elaborated in the optimal control theory. Two illustrated problems are given.
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Original Russian Text © A.A. Gurchenkov, A.S. Esenkov, V.I. Tsurkov, 2007, published in Avtomatika i Telemekhanika, 2007, No. 2, pp. 81–94.
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Gurchenkov, A.A., Esenkov, A.S. & Tsurkov, V.I. Motion control of a rotor with a cavity with a viscous fluid. Autom Remote Control 68, 284–295 (2007). https://doi.org/10.1134/S0005117907020087
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DOI: https://doi.org/10.1134/S0005117907020087