Viability analysis of an aircraft flight domain for take-off in a windshear
type: Item
instance of: scholarly article
title: Viability analysis of an aircraft flight domain for take-off in a windshear
zbMATH Open document ID: 1032.76030
DOI: 10.1016/S0895-7177(02)00164-4
author: Nicolas Seube
author: R. Moitie
author: George Leitmann
published in: Mathematical and Computer Modelling
publication date: 2003-10-14T00:00:00Z
review text: The authors present a new methodology for obtaining safe flight domains for an aircraft during take-off in the presence of windshear. The take-off problem is formulated as a differential game against nature. The first player is the relative angle of attack of the aircraft (considered as the control variable), and the second one is the disturbance caused by a windshear. State constraints are imposed on the game, namely minimum altitude constraints, which guarantee aircraft survival when encountering a windshear with given maximum intensity. By using viability theory, the authors utilize a numerical procedure to calculate the set of initial flight conditions for which there exist viable trajectories generated by the angle of attack with a constrained time derivative, no matter what the considered windshear intensity is, and without information about the structure of the windshear.
Mathematics Subject Classification ID: 76G25
Mathematics Subject Classification ID: 91A23
Mathematics Subject Classification ID: 76M25
zbMATH DE Number: 1992501
zbMATH Keywords: differential game
zbMATH Keywords: angle of attack
zbMATH Keywords: control variable
zbMATH Keywords: minimum altitude constraints
zbMATH Keywords: viability kernel algorithm
zbMATH Keywords: kernels approximation
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1992501