Abstract
The problem of aircraft take-off under windshear conditions is considered as a differential game. A simplified five-dimensional nonlinear model of aircraft dynamics, assuming the flight in a vertical plane, is used. The overloads, differences between the projections of the thrust and drag, respectively lift, forces are considered as control variables. The corresponding technically relevant control, the aerodynamic angle of attack, can always be retrieved. Stable numerical algorithms for solving Hamilton-Jacobi-Bellman-Isaacs equations arising from differential games with state constraints are used to compute the value function and design an appropriate feedback control.
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