The direct method and algorithm of construction of splines of the third order in the control problems of drives performance movement
- Authors: Gdanskiy N.I.1, Karpov A.V.1, Bugaenko A.A.1
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Affiliations:
- Moscow State University of Mechanical Engineering (MAMI), Russian State Social University
- Issue: Vol 7, No 1-4 (2013)
- Pages: 51-57
- Section: Articles
- URL: https://journals.rcsi.science/2074-0530/article/view/67777
- DOI: https://doi.org/10.17816/2074-0530-67777
- ID: 67777
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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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##article.viewOnOriginalSite##About the authors
N. I. Gdanskiy
Moscow State University of Mechanical Engineering (MAMI), Russian State Social University
Email: al-kp@mail.ru
Dr.Eng., Prof.; +7(905)7658738
A. V. Karpov
Moscow State University of Mechanical Engineering (MAMI), Russian State Social University
Email: al-kp@mail.ru
Ph.D.; +7(905)7658738
A. A. Bugaenko
Moscow State University of Mechanical Engineering (MAMI), Russian State Social University
Email: al-kp@mail.ru
+7(905)7658738
References
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- Гданский Н.И. Геометрическое моделирование и машинная графика. – М.: МГУИЭ, 2003 г. – 236 с.