Open AccessOptimal control of a rocket projectile according to the "minimum force" criterion
Author(s) -
Сергей Викторович Лутманов
Publication year - 2021
Publication title -
vestnik permskogo universiteta. matematika, mehanika, informatika
Language(s) - English
Resource type - Journals
ISSN - 1993-0550
DOI - 10.17072/1993-0550-2021-3-42-51
Subject(s) - projectile , rocket (weapon) , optimal control , position (finance) , control theory (sociology) , norm (philosophy) , trajectory of a projectile , projectile motion , minification , range of a projectile , ballistics , mathematics , physics , computer science , control (management) , aerospace engineering , mathematical optimization , engineering , finance , quantum mechanics , artificial intelligence , law , political science , economics
The article solves the problem of optimal control of a rocket projectile by its delivery from a given initial position to a given final position, taking into account the air resistance force. The motion of the projectile is described by the vector differential equation of I.V. Meshchersky. The control quality criterion is taken in the form of "minimum force", the minimization of which ensures minimal overloads for the projectile. Three types of the norm of the control force vector are considered. For each of them, an optimal control is obtained that solves the task. The analysis of the results of the numerical experiment is carried out, confirming the general theoretical provisions.