Aircraft take-off in windshear: A viability approach
type: Item
instance of: scholarly article
title: Aircraft take-off in windshear: A viability approach
zbMATH Open document ID: 0965.93076
DOI: 10.1023/A:1008786811464
author: R. Moitie
author: Nicolas Seube
author: George Leitmann
published in: Set-Valued Analysis
publication date: 2001-02-06T00:00:00Z
review text: The authors analyze aircraft dynamics during takeoff in the presence of windshear. They formulate this problem in terms of a differential game against Nature. In this formulation the first player controls the angle of attack against the disturbance due to windshear, which plays the role of the second player. In this situation one have to take into account state constraints corresponding to safety obligations. Using viability theory, the authors numerically obtain an approximation of the domain of initial positions from which there exists at least one trajectory, and an associated control loop, which satisfies the safety constraints. The state variables are the horizontal and vertical coordinates or the aircraft, the relative speed, the relative path inclination and the relative angle of attack. Windshear disturbances are wind speed and its time derivative. The control variable is the derivative of the angle of attack. Numerical issues are given for a 4-D model. Using the discriminating kernel algorithm which is an extension to differential games of the viability kernel algorithm, the authors calculate the set of initial flight conditions for which there exists viable trajectories no matter what the windshear intensity are.
reviewed by: Patrick Saint-Pierre
Mathematics Subject Classification ID: 93C95
Mathematics Subject Classification ID: 91A23
Mathematics Subject Classification ID: 91A25
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 34A60
zbMATH DE Number: 1523582
zbMATH Keywords: differential games
zbMATH Keywords: aircraft flight domain
zbMATH Keywords: windshear
zbMATH Keywords: state constraints
zbMATH Keywords: viability theory
zbMATH Keywords: discriminating kernel algorithm
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1523582