Air Traffic Collision Avoidance

Aircraft collision avoidance manoeuvres are important and complex applications.Curved flight exhibits nontrivial continuous behaviour. In combination with the control choices during air traffic manoeuvres, this results in hybrid systems with challenging interactions of discrete and continuous dynamics. As a case study for demonstrating the scalability of logical analysis for hybrid systems with challenging dynamics, we analyse collision freedom of roundabout manoeuvres in air traffic control, where appropriate curved flight, good timing, and compatible manoeuvring are crucial for guaranteeing safe spatial separation of aircraft throughout their flight.We show that our DAL-based proof techniques can scale to curved flight manoeuvres required in aircraft control applications. Our logical analysis approach can be used successfully to verify collision avoidance of the tangential roundabout manoeuvre automatically, even for five aircraft. Moreover, we introduce a fully fly-able variant of the roundabout collision avoidance manoeuvre and verify safety properties by compositional verification in our calculus.