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Minimum-time interception of a moving target by a material point in a viscous mediumстатья
Статья опубликована в высокорейтинговом журнале
Статья опубликована в журнале из списка Web of Science и/или Scopus- Авторы: Buzikov Maksim E., Mayer Alina M.
- Журнал: Automatica
- Том: 167
- Год издания: 2024
- Издательство: Pergamon Press Ltd.
- Местоположение издательства: United Kingdom
- Номер статьи: 111795
- DOI: 10.1016/j.automatica.2024.111795
- Аннотация: In this paper we investigated a model that describes the motion of a material point in a viscous medium under a force that is arbitrary in direction, but limited in magnitude. This model was named ”the isotropic rocket” in the early work of Rufus Isaacs. We obtained a parametric description of a reachable set for the isotropic rocket and solved a group of reachability problems for a final configuration that varies in a known time-dependent manner (moving target). To describe the reachable set, we obtained an explicit parametric form of its boundary and all its projections onto all subspaces of the state space. Convergent algorithms have been proposed for computing minimum-time interception in position and velocity spaces. Finally, we numerically investigated particular cases of minimum-time interception, validating the development of this study.
- Добавил в систему: Майер (Атуова) Алина Муратовна