Methods of approximate synthesis of optimal linear logic-dynamical systems

Аuthors

Pegachkova E. A.

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e-mail: pegachkova@mail.ru

Abstract

We consider the problem of active stabilization of a satellite with a minimal fuel consumption. The solution in the classical frames provides a minimizing sequence with infinitely many switches in the engine during infinitely short time intervals. However, this infinite impulse strategy is practically поп — realizable. Hence we suggest to take into account the number of switches, solving the problem within logic-dynamical systems (IDS). We get an approximate solution basing on the necessary optimality conditions for LDS. We compare these necessary conditions with Pontriagin maximum principle, discuss the results of some calculations and their practical utility. 

Keywords:

logic-dynamical system, linear system, optimal control, Bellman's functions