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Trudy Inst. Mat. i Mekh. UrO RAN, 2005, Volume 11, Number 1, Pages 149–159 (Mi timm177)  

This article is cited in 2 scientific papers (total in 2 papers)

Construction of the solvability set in a problem of guiding an aircraft under wind disturbance

S. I. Kumkov, V. S. Patsko, S. G. Pyatko, A. A. Fedotov


Abstract: A nonlinear system of the fourth order is used for simplified description of the aircraft motion in the horizontal plane under wind disturbance. The aircraft control vector has two components constrained in modulus. One component affects the velocity value, and the second one defines variation of the direction of the velocity vector. The maximal value of the wind disturbance is given. The problem of guaranteed guidance of an aircraft from the initial position to a given terminal set at a fixed instant is considered. The motion is subject to the phase constraints at the intermediate instants. Based on the game theory, an algorithm for backward construction of the solvability set in a problem of guaranteed guidance is proposed. Numerical simulation results of the solvability set construction are described.

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English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2005, suppl. 1, S163–S174

Bibliographic databases:
UDC: 62.50
Received: 04.03.2004

Citation: S. I. Kumkov, V. S. Patsko, S. G. Pyatko, A. A. Fedotov, “Construction of the solvability set in a problem of guiding an aircraft under wind disturbance”, Dynamical systems and control problems, Trudy Inst. Mat. i Mekh. UrO RAN, 11, no. 1, 2005, 149–159; Proc. Steklov Inst. Math. (Suppl.), 2005no. , suppl. 1, S163–S174

Citation in format AMSBIB
\Bibitem{KumPatPya05}
\by S.~I.~Kumkov, V.~S.~Patsko, S.~G.~Pyatko, A.~A.~Fedotov
\paper Construction of the solvability set in a~problem of guiding an aircraft under wind disturbance
\inbook Dynamical systems and control problems
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2005
\vol 11
\issue 1
\pages 149--159
\mathnet{http://mi.mathnet.ru/timm177}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2156257}
\zmath{https://zbmath.org/?q=an:1124.93038}
\elib{http://elibrary.ru/item.asp?id=12040692}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2005
\issue , suppl. 1
\pages S163--S174


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. E. K. Kostousova, “O poliedralnom metode resheniya zadach sinteza strategii upravleniya v mnogoshagovykh sistemakh s neopredelennostyami i fazovymi ogranicheniyami”, Tr. IMM UrO RAN, 23, no. 2, 2017, 151–166  mathnet  crossref  elib
    2. Kostousova E.K., “On Feedback Target Control For Uncertain Discrete-Time Bilinear Systems With State Constraints Through Polyhedral Technique”, Application of Mathematics in Technical and Natural Sciences, AIP Conference Proceedings, 1895, ed. Todorov M., Amer Inst Physics, 2017, UNSP 110004-1  crossref  mathscinet  isi  scopus
  • Trudy Instituta Matematiki i Mekhaniki UrO RAN
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