基于微分Petri网的民机航迹演化通用模型构建

为实现对未来大流量、高密度、小间隔条件下的空域实施管理,在战略航迹规划阶段,提出了一种模块化的战略航迹演化通用模型。建立了不同航段之间航空器状态动态切换的一类宏观Petri网演化模型,以及同一航段内航空器速度和高度两种特征参数值连续变化的3类微观Petri网演化模型。根据航空器特征参数值转化的4种不同形式并基于航空器全飞行剖面的混杂运行特性,运用微分Petri网理论,定义了航空器的4种演化模式,通过组合各种演化模式得到了3种航空器基本演化模型。在满足航空器性能约束的前提下,通过设定10个航段及15个高度和速度预设值,得到了全飞行剖面下各特征参数的演化图。结果表明,所设计的演化模型增强了航迹预测模型的通用性,能够反映航空器在水平剖面和垂直剖面内的状态变化。

Construction of Civil Aircraft Trajectory Evolution General Model Based on Differential Petri-Net

To resolve the problem of future airspace management under the condition of great traffic flow, high density, and small separation, a modular evolution model is built during the process of aircraft trajectory strategic planning. A state switch macroscopic Petri-net evolution model and three microcosmic Petri-net evolution models accompanied with the continuous change of aircraft speed and height in the same segment based on the aerodynamics models are presented. According to the different forms of aircraft characteristic parameter conversion and the hybrid evolution characteristics, four evolution models using differential Petri-net theory and three evolution modes using the combination of various evolution models are defined. The 4-D trajectory evolution graphs with aircraft performance constraints can be obtained by setting 10 flight segments and 15 defaults of height and speed. Theoretical analysis and simulation results demonstrate that the proposed models can enhance the versatility of trajectory prediction model and reflect the aircraft horizontal and vertical trajectory profiles precisely.