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Conflict Detection and Resolution in Air Traffic Control

The work deals with application of the optimal control methods to
problem of conflict detection and resolution in air traffic control.
Motion of two conflicting aircrafts in the horizontal plane is described by the standard systems of ordinary differential equations of the third order (two geometrical coordinates and the heading). Information about parameters of the aircrafts motion is assumed to be known exactly. The conflict situation between aircrafts is detected on the basis of forecast of their motion, and parameters of the conflict are defined. By this information one aircraft is chosen for the resolving manoeuver, the second one does not participate in the resolution. Parameters of the resolving manoeuver and its elements are computed accordingly to the normative and regulation rules for air traffic control. Necessary and sufficient conditions for existence of the resolving manoeuver
have been found in the constructive form.
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