飞行冲突解脱的几何优化模型

针对空中交通管制中的冲突探测与解脱问题,提出了一种几何最优的冲突探测与解脱方法。首先定义了该问题的冲突解脱点,在该点处预判飞机之间可能存在的飞行冲突。其次,采取同向同角度的方式解决飞行冲突,即在原航迹上两机同时向同一侧改变相同角度,得到新的航迹交叉点,即航迹恢复点,使得两机之间始终保持最小安全距离。通过几何分析,理论推导了两机航迹距离之和与各自改变航向角度之间的关系,该模型能够有效地解决飞行和冲突,并且具体给出冲突解脱和航迹恢复的位置,以及所涉及到的参数求解过程。最后通过仿真分析,结果显示该方法简单高效。

Aircraft conflict resolution model based on geometric optimization

A geometrically optimal conflict detection and resolution method is proposed to make up for the defect of current methods in air traffic control. Firstly, the conflict resolution point of the problem is defined, at which the possible flight conflicts between aircrafts are predicted. Secondly, the same direction same angle is adopted to solve the flight conflicts; that is, the two aircrafts turn the same angle to the same side at the same time on the original track to obtain a new track crossing point, namely a track recovery point. Thus the minimum separation between the two planes is always maintained. Through geometric analysis, the relationship between the sum of the track distances of the two aircrafts and their respective change of heading is theoretically deduced. The model can effectively solve the flight and conflicts, and specifically give the position of the conflict resolution and track recovery, as well as the parameter solving process involved. Finally, the simulation results show that the method is simple and efficient.