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Generation of Dangerous Disturbances for Flight Systems

Nikolai Botkin (), Kirill Martynov (), Varvara Turova () and Johannes Diepolder ()
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Nikolai Botkin: Technische Universität München
Kirill Martynov: Technische Universität München
Varvara Turova: Technische Universität München
Johannes Diepolder: Technische Universität München

Dynamic Games and Applications, 2019, vol. 9, issue 3, No 5, 628-651

Abstract: Abstract This paper addresses the generation of dangerous disturbances in problems of aircraft control. The method is based on the construction of repulsive disturbances in linear differential games using a dynamic programming approach. The computation involves solving a large number of linear programs. For this purpose, a fast algorithm efficiently working in low dimensions is proposed. Several examples of constructing dangerous disturbances are given. First, a simple linear differential game is considered to demonstrate the main features of the method. Second, a linearized model of the longitudinal motion of an aircraft is considered. The model includes flight and servomechanism dynamics, pilot and disturbance inputs, and a controller supporting the piloting process. This model is investigated in two setups: as a control law clearance problem and as a conflict control task. Third, a common nonlinear model of aircraft dynamics with reference to flight in a vertical plane is considered, and the problem of takeoff in wind shear conditions is addressed. For all above-listed problems, simulations showing the efficiency of the constructed disturbances are presented.

Keywords: Differential game; Dynamic programming; Extremal disturbance; Aircraft safety (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s13235-018-0259-5

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