On the stationarity conditions in an optimal control problem related to autonomous objects group

Авторы: Samylovskiy Ivan, Abramova Varvara, Filippov Alexander
Сборник: XLV ACADEMIC SPACE CONFERENCE, DEDICATED TO THE MEMORY OF ACADEMICIAN S.P. KOROLEV AND OTHER OUTSTANDING NATIONAL SCIENTISTS — PIONEERS OF SPACE EXPLORATION
Год издания: 2023
Место издания: AIP Publishing
Первая страница: 120010-1
Последняя страница: 120010-7
DOI: 10.1063/5.0107972
Аннотация: We consider a class of optimal control problems related to target orbiting of autonomous objects group with carrier object use. To describe system dynamics, we use system of ODEs consists of two subsystems: “carrier” subsystem and a number of “payload” subsystems. They are determined on “main” and “nested” time intervals ordered w.r.t. start times. Start time of each “nested” interval is in fact time of corresponding payload decoupling. Our goal is to formulate first-order necessary conditions of extended weak minimum (since we consider variations of decoupling times). To do this, we perfom replication of variables and reduce our OCP to classical form, then rewriting stationarity conditions and quadratic form in original time. We also provide some example of our conditions’ application.
Добавил в систему: Самыловский Иван Александрович

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