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航空器在同高度汇聚飞行时总会存在飞行冲突,文中根据极大代数法的思想,将航空器到达交叉点离散的过程线性化,并且针对同一终端区航空器离场向同一导航点汇聚的实际航路结构,给出了问题的具体描述,建立了具体的终端区单航路极大代数服务模型,并将其推广到通用情况下。在单航路模型基础上根据极大代数思想设计了终端区航路汇聚模型,解决了同高度航空器汇聚的冲突问题,可以将2条线型航线在交叉点的冲突规避,实现4D航迹的无冲突预测。对模型进行了算例验证,结果表明,极大代数能够较好的解决航空器航迹冲突的问题,实现航空器到关键点的无冲突放行,从而一定程度上提高了空域资源的利用率。
There are always flight conflicts when aircraft converge at the same altitude. According to the idea of maximal algebraic method, the process of aircraft arriving at intersections is linearized, and the actual route structure converging to the same navigation point in the same terminal area Gives a concrete description of the problem, and establishes a specific algebraic service model of a single route in the terminal area and generalizes it to a general case. Based on the single-en route model, the terminal en route model is designed according to the algebraic algebra to solve the problem of collision with the same altitude aircraft. It is possible to avoid the collision of two linear routes at the intersection, prediction. The model is validated by a numerical example. The results show that the maximal algebra can better solve the problem of aircraft track conflict and achieve the conflict-free release from the aircraft to the key point, thus improving the utilization of airspace resources to a certain extent.