This paper mainly focuses on the application of optimal control theory in air traffic conflicts resolution problem. Firstly, the background of the conflict detection and resolution research being undertaken worldwide is systematically introduced. Then we discuss modeling methods of flight path, safety protection zone and conflict detection measures, which consist of the basis of mathematic model employed in this paper. In the computation section, we apply optimal control to deduce maneuver strategy based on the features of the problem. Finally, the paper undertakes a simulating computation of the algorithm, and analyzes cooperative and non-cooperative conflicts resolution strategies for a two-aircraft conflicting scenario from the vertical and horizontal plane. Meanwhile, through the simulation of multi-aircraft centering conflicts, the algorithm is proved to be competent in resolving various air traffic conflicts, which provides theoretical basis for further air traffic automation research.
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