Using Formal Methods to Verfiy Safe Deep Stall Landing of a MAV

The various fields of application for miniature air vehicles often do not provide distinct landing areas or even require additional equipment like nets or parachutes to land the aircraft without damaging it. This work introduces the deep stall landing (DSL) as a maneuver that uses the extraordinary aerodynamic characteristics of a delta wing MAV that come into effect after the angle of attack passes the stall angle. This landing maneuver is modeled based on a longitudinal aerodynamic model that takes lift, drag, thrust, weight, and pitching moment into account. By determining the operational modes that the aircraft has to perform in order to either complete the landing maneuver or abort it in case of a missed approach a hybrid system is identified. This system contains both continuous and discrete state dynamics that model the aircraft in each landing phase. Based on this hybrid system reachability analyses are performed which utilize level set methods to calculate backwards reachable sets. These sets are used to identify transitions within the modeled system that bring the aircraft form one operational mode to another without leaving the safe flight envelope. The final result is a discrete event system that covers all possible transitions within the refined model. Based on this discrete model an autonomous system can be implemented that is able to determine whether the initiation of the landing maneuver is safe in terms of keeping the aircraft within the safe flight envelope during the whole maneuver. Furthermore the results of the reachability analysis determine for which states of the aircraft it would be safe to initiate a recovery maneuver in case of a missed landing approach.