Control synthesis for active satellite stabilization basing on necessary optimality conditions for logical-dynamical systems

Аuthors

Bortakovsky A. S.^1*, Pegachkova E. A.^2**

1. Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia
2. ,

*e-mail: asbortakov@mail.ru
**e-mail: pegachkova@mail.ru

Abstract

An active stabilization problem with minimum fuel consumption is considered for a satellite. The solution of the problem basing on its classical statement provides a minimizing sequence with infinitely many engine burns during infinitely short time intervals. However, this infinite impulse strategy is practically unreliazable. Hence it is suggested to take into account the number of switches, solving the problem within logical- dynamical systems (LDS) class. An approximate solution is derived basing on necessary optimality conditions for LDS. These necessary conditions are compared with the Pontryagin maximum principle. Results of some test calculations are discussed as well as their practical applicability.