Noncooperative conflict resolution using differential game

In order to avoid collision, aircraft can not get closer to each other than a predefined safety distance in free flight. With noncooperative facts and unexpected conditions, the problem of air traffic conflict resolution becomes very complex. In this paper, based on the famous pursue-evade qualitative differential game barrier theory, considering the vehicle attempting to avoid collision as an "evader", and the noncooperative adjacent vehicle as a "pursuer", we firstly extend the two aircraft conflict resolution problem to three-dimensional space. Based on a simulation example, the three-dimensional barrier, which representing the two vehicles' optimal trajectory is obtained. The feasibility of studying the problem of conflict resolution in three-dimensional space with differential game theory is proved by this result.