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Journal of Computer and Systems Sciences International
Published in: Journal of Computer and Systems Sciences International 5/2022

01-10-2022 | OPTIMAL CONTROL

Diagrams of Optimal Control Functions in the Problem of the Fastest Platform Movement with Two Oscillators

Author: O. R. Kayumov

Published in: Journal of Computer and Systems Sciences International | Issue 5/2022

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Abstract

We consider the problem of the time-optimal movement of a system with three degrees of freedom in the form of a rigid body moving translationally along a horizontal straight line and carrying two linear oscillators. The only control force is applied to the carrier body and is limited in absolute value; there is no friction. The system is transferred from a state of rest to a predetermined distance with the damping of oscillations. The evolution of optimal control functions depending on the travel distance is studied. A visual representation of this dependence in the form of a diagram is proposed, for the construction of which an algorithm is given.
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Metadata
Title
Diagrams of Optimal Control Functions in the Problem of the Fastest Platform Movement with Two Oscillators
Author
O. R. Kayumov
Publication date
01-10-2022
Publisher
Pleiades Publishing
Published in
Journal of Computer and Systems Sciences International / Issue 5/2022
Print ISSN: 1064-2307
Electronic ISSN: 1555-6530
DOI
https://doi.org/10.1134/S1064230722050094

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