基于混杂系统理论的无冲突4D航迹预测

为增大空域容量,在战略航迹规划阶段,设定航空器爬升、下降和平飞3个飞行状态和7组高度和速度参数规划航空器4D航迹.基于不同航段的航空器动力学模型,采用混杂系统理论, 建立了不同航段之间的状态切换模型,以及同一航段内航空器质量、空速、高度和航程连续变化的航空器运行状态演化模型. 通过调整航空器到达时刻和飞行速度,规划了多航空器无冲突4D航迹.算例仿真结果表明,在满足航空器性能约束的前提下,用混杂系统递推法规划的航空器起飞4D航迹计算时间在3 s以内;这两个模型准确反映了航空器在水平剖面和垂直剖面内的飞行状态变化;本文提出的航空器无冲突航迹规划方法是有效的. 

Conflict-Free 4D Trajectory Prediction Based on Hybrid System Theory

In order to increase airspace capacity, the hybrid system theory was used to build a state switch model of aircraft between different segments that is based on the aircraft aerodynamics models by setting three flight status including climb, decent, and level flight as well as seven parameters of height and speed during the process of aircraft trajectory strategic planning. Then, a state evolution model was also built for an aircraft with parameters such as aircraft weight, airspeed, altitude, and ground distance continuously changing during the same segment. In order to plan multi-aircraft trajectories, a conflict-free trajectory planning method was proposed by adjusting the aircraft arrival time and flight speed. The simulation of a case study shows that using the hybrid recursive method, the aircraft take-off 4D trajectory with aircraft performance constraints can be obtained within 3 s, the two models proposed in this paper can reflect the aircraft horizontal and vertical trajectory profiles precisely, and the conflict-free trajectory planning method is effective.