Viability analysis of an aircraft flight domain for take-off in a windshear (Q1410181)

The authors present a new methodology for obtaining safe flight domains for an aircraft during take-off in the presence of windshear. The take-off problem is formulated as a differential game against nature. The first player is the relative angle of attack of the aircraft (considered as the control variable), and the second one is the disturbance caused by a windshear. State constraints are imposed on the game, namely minimum altitude constraints, which guarantee aircraft survival when encountering a windshear with given maximum intensity. By using viability theory, the authors utilize a numerical procedure to calculate the set of initial flight conditions for which there exist viable trajectories generated by the angle of attack with a constrained time derivative, no matter what the considered windshear intensity is, and without information about the structure of the windshear.