The direct method and algorithm of construction of splines of the third order in the control problems of drives performance movement

N. I. Gdanskiy , A. V. Karpov , A. A. Bugaenko

Izvestiya MGTU MAMI ›› 2013, Vol. 7 ›› Issue (1-4) : 51 -57.

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Izvestiya MGTU MAMI ›› 2013, Vol. 7 ›› Issue (1-4) : 51 -57. DOI: 10.17816/2074-0530-67777
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The direct method and algorithm of construction of splines of the third order in the control problems of drives performance movement

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Abstract

When using predictions in the controling of the rotational motion arises the need to build a double-smooth trajectory passing through its previously measured key points. As piecewise polynomial curve, providing the desired smoothness, there is considered the interpolation by cubic splines that in the intervals between the nodes are actually the cubic parabola, continuously connecting the nodes with the degree of smoothness. When imposing additional boundary conditions, data splines minimize its total curvature.

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interpolation splines / control problems / prediction algorithms / kinematic characteristics / Hermite splines

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N. I. Gdanskiy, A. V. Karpov, A. A. Bugaenko. The direct method and algorithm of construction of splines of the third order in the control problems of drives performance movement. Izvestiya MGTU MAMI, 2013, 7(1-4): 51-57 DOI:10.17816/2074-0530-67777

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References

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Гданский Н.И., Карпов А.В., Бугаенко А.А. Оптимальное интерполирование траекторий перемещения при управлении приводами с прогнозированием внешний нагрузки // Химическое и нефтегазовое машиностроение, №3, 2013, с.3-6

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Бахвалов Н.С., Жидков Н.П., Кобельков Г.М. Численные методы. – М.: Лаборатория Базовых Знаний, 2002 г. – 632 с.

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Гданский Н.И. Геометрическое моделирование и машинная графика. – М.: МГУИЭ, 2003 г. – 236 с.

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