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

  • OPTIMAL CONTROL
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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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  1. Branch of Omsk State Pedagogical University, 646535, Tara, Omsk Oblast, Russia

    O. R. Kayumov

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  1. O. R. Kayumov
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Correspondence to O. R. Kayumov.

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Kayumov, O.R. Diagrams of Optimal Control Functions in the Problem of the Fastest Platform Movement with Two Oscillators. J. Comput. Syst. Sci. Int. 61, 776–792 (2022). https://doi.org/10.1134/S1064230722050094

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  • DOI: https://doi.org/10.1134/S1064230722050094

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