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摘要: 针对在固定航路条件下多个航空器之间的冲突解脱问题, 提出了改变航向的飞行策略, 比较了自由飞行条件下和固定航路飞行条件下的最优飞行冲突解脱模型。以航空器性能和航路空间为约束条件, 以冲突解脱时间为目标函数, 运用最优化控制理论和微分方程, 计算了不同初始条件下的总冲突解脱时间。计算结果表明: 当航空器的解脱终点从(80, 0)变为(65, 0)时, 总冲突解脱时间减小了32s;当航空器的解脱速度从833km.h-1降低为759km.h-1时, 总冲突解脱时间增大了12s;当航空器的初始位置由(20, 0)增大为(29, 0)时, 总冲突解脱时间仅增大了2s。航空器的解脱终点和解脱速度对冲突解脱时间影响较大, 而航空器的初始位置对冲突解脱时间影响较小。Abstract: Aiming at the conflict resolution problem among several aircrafts under fixation airway, the flight strategy of changing course was proposed, and the optimal conflict resolution models under free flight and fixation airway were compared. Aircraft performance and airway space were taken as constraint conditions, the conflict resolution time was taken as objective function, optimal control theory and differential equation were used, and the total conflict resolution times under different initial conditions were computed. Computation result shows that while the resolution endpoint of aircraft changes from (80, 0) to (65, 0), the total conflict resolution time reduces 32 s. While the resolution speed of aircraft decreases from 833 km·h-1 to 759 km·h-1, the total conflict resolution time increases 12 s. While the initial position of aircraft increaes from (20, 0) to (29, 0), the total conflict resolution time only increases 2 s. The resolution endpoint and resolution speed of aircraft have great influence on the conflict resolution time, but the initial position of aircraft has little influence on the conflict resolution time.
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Key words:
- aviation safety /
- air traffic control /
- flight path /
- flight separation /
- conflict resolution /
- optimal control /
- fixation airway /
- free flight
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图 3 不同解脱终点下航空器2的航线轨迹
Figure 3. Flight paths of aircraft 2under different resolution endpoints
图 4 不同解脱速度下航空器2的航线轨迹
Figure 4. Flight paths of aircraft 2under different resolution speeds
图 5 不同初始位置下航空器2的航线轨迹
Figure 5. Flight paths of aircraft 2under different initial positions
表 1 模型参数
Table 1. Model parameters
表 2 不同解脱终点下航空器2的运行状态
Table 2. Flight states of aircraft 2under different resolution endpoints
表 3 不同解脱速度下航空器2的运行状态
Table 3. Flight states of aircraft 2under different resolution speeds
表 4 不同初始位置下航空器2的运行状态
Table 4. Flight states of aircraft 2under different initial positions
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