Influence of the Size of a Controllable Device on Time-Optimal Rotation Generated by a Moving Internal Mass
- Авторлар: Shmatkov A.1
-
Мекемелер:
- Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences
- Шығарылым: Том 99, № 3 (2019)
- Беттер: 325-328
- Бөлім: Control Theory
- URL: https://journals.rcsi.science/1064-5624/article/view/225687
- DOI: https://doi.org/10.1134/S106456241903013X
- ID: 225687
Дәйексөз келтіру
Аннотация
A two-dimensional time-optimal control problem with a state constraint is studied for a closed mechanical system consisting of a mass point and a solid body that interact via internal forces. It is assumed that the mass point is not allowed to move further away from the body’s center of mass than a prescribed distance. A control function is found allowing the body to be turned through a given angle in a minimum time by choosing the velocity of the mass point. In the case of reaching the state constraint, the solution is constructed in explicit form via quadratures representing elliptic integrals. A numerical example of using the derived formulas is given.
Авторлар туралы
A. Shmatkov
Ishlinsky Institute for Problems in Mechanics,Russian Academy of Sciences
Хат алмасуға жауапты Автор.
Email: shmatkov@ipmnet.ru
Ресей, Moscow, 119526