Geodesic
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 
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/
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     title = {Construction of the solvability set in a~problem of guiding an aircraft under wind disturbance},
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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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