Hopf bifurcations through delay in pilot reaction in a longitudinal flight

The paper is devoted to the study of pilot induced oscillations in the landing transition between the approach task and flare to touch-down. These oscillations are proved to appear in a longitudinal flight model when the delay in pilot’s reactions exceeds a certain threshold for which the stability...

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Bibliographic Details
Published inNonlinear dynamics Vol. 60; no. 3; pp. 413 - 423
Main Authors Halanay, A., Ioniţă, A., Safta, C.-A.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.05.2010
Springer Nature B.V
Springer Verlag
Subjects
Approximation
Automotive Engineering
Classical Mechanics
Control
Delay
Differential equations
Dynamical Systems
Engineering
Hopf bifurcation
Landing
Mathematical analysis
Mechanical Engineering
Original Paper
Pilot induced oscillation
Pilots
Tasks
Touchdown
Vibration
Hopf bifurcation
Delay differential equations
Pilot induced oscillations
Lyapunov coefficient
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Summary:The paper is devoted to the study of pilot induced oscillations in the landing transition between the approach task and flare to touch-down. These oscillations are proved to appear in a longitudinal flight model when the delay in pilot’s reactions exceeds a certain threshold for which the stability of equilibria is lost and a Hopf bifurcation appears. The formulae needed to compute the Lyapunov coefficient and an approximation of the solution are developed for the delay differential equations that model the pilot–vehicle interaction in landing task. These are applied for a concrete model.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-009-9605-x