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Motion control of a rotor with a cavity with a viscous fluid. (English. Russian original) Zbl 1126.93039

Autom. Remote Control 68, No. 2, 284-295 (2007); translation from Avtom. Telemekh. 68, No. 2, 81-94 (2007).
Summary: 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 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.

MSC:

93C73 Perturbations in control/observation systems
76D55 Flow control and optimization for incompressible viscous fluids
76U05 General theory of rotating fluids
49N90 Applications of optimal control and differential games
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