Trajectory generation based on power for urban air mobility

Russell A. Paielli
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Abstract

A method of generating trajectories based on power is proposed for Urban Air Taxis. The method is simpler and more direct than traditional methods because it does not require a detailed aircraft model or a flight control model. Instead, it allows the user to specify the route, the static longitudinal profile (altitude as a function of distance), and a power model to determine the progress in time along that profile. The power model can be determined from a recorded or simulated trajectory of the same aircraft type. This capability allows a trajectory to be generated or reshaped to avoid conflicts while preserving the basic performance characteristics. Net or excess power is defined as the rate of change of mechanical (kinetic and potential) energy, and it is modeled as a function of airspeed. The time steps between discrete points in space along the trajectory are used to yield a specified power as a function of airspeed, and they are determined by solving a cubic polynomial at each point. An elliptical profile is used to generate an example trajectory. The dependence of trip flight time on various parameters is analyzed and plotted.
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基于动力的城市空中交通轨迹生成
提出了一种基于功率的城市空中出租车轨迹生成方法。该方法比传统方法更简单,更直接,因为它不需要详细的飞机模型或飞行控制模型。相反,它允许用户指定路线、静态纵剖面(高度作为距离的函数)和功率模型,以确定沿着该剖面的时间进度。功率模型可以从同一类型飞机的记录或模拟轨迹中确定。该功能允许生成或重塑轨迹,以避免冲突,同时保留基本的性能特征。净功率或剩余功率被定义为机械能(动能和势能)的变化率,并将其建模为空速的函数。沿着轨迹的空间离散点之间的时间步长用于产生作为空速函数的指定功率,并且它们通过在每个点上求解三次多项式来确定。使用椭圆轮廓线生成示例轨迹。分析并绘制了行程飞行时间随各参数的变化关系。
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