Email this article Influence of the size of a controllable device on time-optimal rotation generated by a moving internal mass
- Authors: Shmatkov A.M.1
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Affiliations:
- Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences
- Issue: Vol 486, No 3 (2019)
- Pages: 292-296
- Section: Control Processes
- URL: https://journals.eco-vector.com/0869-5652/article/view/13465
- DOI: https://doi.org/10.31857/S0869-56524863292-296
- ID: 13465
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Abstract
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.
About the authors
A. M. Shmatkov
Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences
Author for correspondence.
Email: shmatkov@ipmnet.ru
Russian Federation, 101, bldg. 1, Vernadskogo prospect, Moscow, 119526
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