On obtaining the first- and second-order minimum conditions in an optimal control problem related to autonomous objects group target orbiting with carrier object support

Авторы: Samylovskiy Ivan A., Samylovskaya Anastasia K.
Сборник: Proceedings of 2019 IEEE 15th International Conference on Control and Automation (ICCA)
Год издания: 2019
Место издания: IEEE Xplore [Piscataway, N.J.], United States
Первая страница: 1069
Последняя страница: 1072
DOI: 10.1109/ICCA.2019.8899990
Аннотация: We consider optimal control problem related to target orbiting of autonomous objects group with carrier object use. To describe system dynamics, we use sustem of ODEs consists of two subsystems: “cariier” subsystem and a number of “payload” subsystems. These subsystems 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- and second-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.
Добавил в систему: Самыловский Иван Александрович

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