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Matematicheskoe modelirovanie, 2017, Volume 29, Number 10, Pages 5–19 (Mi mm3895)  
This article is cited in 12 scientific papers (total in 12 papers)

Path coordinates in 3D path following problem

A.N. Kanatnikovab, W. Liua, S. B. Tkachevba

a Bauman Moscow State Technical University, Moscow
b Institute for Systems Analysis of RAS
Full-text PDF (346 kB) Citations (12)
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Abstract: Two approaches to 3D path coordinates using in path following problem for aerial vehicles are proposed. The first one consists in reducing to two dimensional case by means of projection. The second one is based on introducing of an adapted frame in the target point. The choice of an adapted frame detects a complexity of the control synthesis algorithm. It is shown that the parallel transport frame, or Bishop frame, is most convenient.
Keywords: path following, path coordinates, adapted frame, stabilized control.
Funding agency Grant number
Russian Foundation for Basic Research 15-07-05489_а
15-07-06484_а
Received: 09.02.2017
English version:
Mathematical Models and Computer Simulations, 2018, Volume 10, Issue 3, Pages 265–275
DOI: https://doi.org/10.1134/S2070048218030067
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A.N. Kanatnikov, W. Liu, S. B. Tkachev, “Path coordinates in 3D path following problem”, Matem. Mod., 29:10 (2017), 5–19; Math. Models Comput. Simul., 10:3 (2018), 265–275
Citation in format AMSBIB
\Bibitem{KanLiuTka17}
\by A.N.~Kanatnikov, W.~Liu, S.~B.~Tkachev
\paper Path coordinates in 3D path following problem
\jour Matem. Mod.
\yr 2017
\vol 29
\issue 10
\pages 5--19
\mathnet{http://mi.mathnet.ru/mm3895}
\elib{https://elibrary.ru/item.asp?id=30060377}
\transl
\jour Math. Models Comput. Simul.
\yr 2018
\vol 10
\issue 3
\pages 265--275
\crossref{https://doi.org/10.1134/S2070048218030067}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85048122557}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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