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Optimal Motion Control of the System Modeled by Double Integrator of Fractional Order

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Abstract

The problem is investigated of optimal control of a system, described with the model of fractional-order double integrator, in which the initial and final conditions depend on the appropriate time-point selection. Several cases are considered, physically similar to the system transfer from a state of the rest to a state of the uniform linear motion, to a uniformly accelerated and to a periodic motion, and from a uniform to a uniformly accelerated motion. The dependencies are analyzed of the control norm from the control time and from the fractional differentiation index value.

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Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

    E. A. Postnova

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  1. E. A. Postnova
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Correspondence to E. A. Postnova.

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Russian Text © E.A. Postnov, 2018, published in Problemy Upravleniya, 2018, No. 2, pp. 40–46.

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Postnova, E.A. Optimal Motion Control of the System Modeled by Double Integrator of Fractional Order. Autom Remote Control 80, 761–772 (2019). https://doi.org/10.1134/S000511791904012X

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  • DOI: https://doi.org/10.1134/S000511791904012X

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