Optimal Multi-process Control of a Two Vortex Driven Particle in the Plane

This article concerns the optimal motion control of a particle moving in a two dimensional fluid whose dynamics are given by a vector field defined, in any time interval, by two point vortices whose circulation decay exponentially in time with a given constant rate. The control action is exercised by generating one vortex - specified by its location and respective circulation - at a chosen time, and by varying the exposure of the particle to each one of the vortices in continuum time. A control multi-process framework is chosen in order to derive necessary conditions of optimality in the form of a Maximum Principle of Pontryagin. These conditions provide relations that suffice to fully determine the optimal control process. © 2017

Авторы
Pereira F.L. 1 , Grilo T.2 , Gama S.3
Редакторы
-
Журнал
Издательство
Elsevier B.V.
Номер выпуска
1
Язык
Английский
Страницы
2193-2198
Статус
Опубликовано
Подразделение
-
Номер
-
Том
50
Год
2017
Организации
  • 1 SYSTEC, FEUP, Porto University, RUDN University, Moscow, Portugal
  • 2 SYSTEC/CMUP, Faculty of Sciences and Faculty of Engineering, Porto University, Porto, Portugal
  • 3 Faculty of Sciences of the University of Porto, CMUP, Porto, Portugal
Ключевые слова
Maximum Principle of Pontryagin; Multi-process; Optimal Control; Vortex
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/5437/