On extremals supposing analytical exposition in the problem of optimum control of the asymmetrical space vehicle rotation

Аuthors

Sirotin A. N.

Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia

e-mail: asirotin2@mail.ru

Abstract

The problem of asymmetrical space vehicle rotation optimum control is considered. As criterion the integral — quadratic functional describing power inputs is chosen. It is shown, that under certain conditions in such problem it is possible to specify a class of extremals, supposing analytical exposition on the basis of existential strains of a solution of equations of free rotation of an asymmetric top.

Keywords:

optimum control, rotation, asymmetrical space vehicle.