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Numerical Investigation on Flight Trajectory Optimization Methods

机译：飞行轨迹优化方法的数值研究

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摘要

This paper evaluates the usability of two direct optimization methods: the Piecewise Linear Approximation Dynamic Programming method and the gradient-based method for a practical trajectory optimization problem based on the trajectory-based operation concept. As a practical application, the longitudinal fuel minimal trajectory of a passenger aircraft is continuously designed for all flight phases. The computational features of each method are investigated in terms of computational time, convergence to a realistic solution, and applicability for the practical model. The two kinds of optimal trajectories show a great agreement indicating that an optimal solution close to a global optimum could be obtained by the gradient-based method. The results have demonstrated that gradient-based methods have a potential to provide an optimal solution close to a global optimum with a reasonable computational time. The gradient-based method is expected to be utilized for designing a practically preferable reference trajectory toward the realization of more efficient operations in the air traffic management system.
机译：本文评估了两种直接优化方法的实用性：基于轨迹操作概念的分段线性逼近动态规划方法和基于梯度的方法解决实际的轨迹优化问题。在实际应用中，为所有飞行阶段连续设计客机的纵向燃油最小轨迹。从计算时间，收敛到实际解决方案以及对实际模型的适用性方面研究了每种方法的计算特征。两种最优轨迹显示出很大的一致性，表明可以通过基于梯度的方法获得接近全局最优的最优解。结果表明，基于梯度的方法具有以合理的计算时间提供接近全局最优值的最优解决方案的潜力。期望将基于梯度的方法用于设计实用的参考轨迹，以在空中交通管理系统中实现更高效的运行。

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