Construction of the solvability set in a~problem of guiding an aircraft under wind disturbance
Trudy Instituta matematiki i mehaniki, Dynamical systems and control problems, Tome 11 (2005) no. 1, pp. 149-159
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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.
@article{TIMM_2005_11_1_a13,
author = {S. I. Kumkov and V. S. Patsko and S. G. Pyatko and A. A. Fedotov},
title = {Construction of the solvability set in a~problem of guiding an aircraft under wind disturbance},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {149--159},
publisher = {mathdoc},
volume = {11},
number = {1},
year = {2005},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2005_11_1_a13/}
}
TY - JOUR AU - S. I. Kumkov AU - V. S. Patsko AU - S. G. Pyatko AU - A. A. Fedotov TI - Construction of the solvability set in a~problem of guiding an aircraft under wind disturbance JO - Trudy Instituta matematiki i mehaniki PY - 2005 SP - 149 EP - 159 VL - 11 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMM_2005_11_1_a13/ LA - ru ID - TIMM_2005_11_1_a13 ER -
%0 Journal Article %A S. I. Kumkov %A V. S. Patsko %A S. G. Pyatko %A A. A. Fedotov %T Construction of the solvability set in a~problem of guiding an aircraft under wind disturbance %J Trudy Instituta matematiki i mehaniki %D 2005 %P 149-159 %V 11 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMM_2005_11_1_a13/ %G ru %F TIMM_2005_11_1_a13
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. Trudy Instituta matematiki i mehaniki, Dynamical systems and control problems, Tome 11 (2005) no. 1, pp. 149-159. http://geodesic.mathdoc.fr/item/TIMM_2005_11_1_a13/