Conflict resolution in air traffic management using the methods of optimal control theory

An approach to the resolution of conflicts in air traffic management using the theory of optimal control is presented. Following a discussion of the ideas prevalent in air traffic today, in particular that of 'free flight', a survey of some current research on the subject is presented. The fundamental ideas in optimal control are then described, along with those special features which will be used in the main analysis. The model of the air traffic conflict is then developed. Optimal conflict resolutions are derived for two separate problem formulations, based on: (i) the minimum time maneuver to a designated objective, and (ii) the minimum time deviation from a designated track. In each case, the analysis is followed by a presentation of an algorithm and the results of numerical simulations. Finally, possible generalizations to the model and future developments for the air traffic industry are discussed.