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Generation of Dangerous Disturbances for Flight Systems

Author

Listed:
  • Nikolai Botkin

    (Technische Universität München)

  • Kirill Martynov

    (Technische Universität München)

  • Varvara Turova

    (Technische Universität München)

  • Johannes Diepolder

    (Technische Universität München)

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.

Suggested Citation

  • Nikolai Botkin & Kirill Martynov & Varvara Turova & Johannes Diepolder, 2019. "Generation of Dangerous Disturbances for Flight Systems," Dynamic Games and Applications, Springer, vol. 9(3), pages 628-651, September.
    • Handle: RePEc:spr:dyngam:v:9:y:2019:i:3:d:10.1007_s13235-018-0259-5
    DOI: 10.1007/s13235-018-0259-5
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