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In this paper, a stochastic optimal control method is developed for determining three-dimensional conflict-free aircraft trajectories under wind uncertainty. First, a spatially correlated wind model is used to describe the wind uncertainty, and a probabilistic conflict detection algorithm using the generalized polynomial chaos method is proposed. The generalized polynomial chaos algorithm can quantify...
This paper explores a novel stochastic optimal control method to determine conflict-free 4D (3D space and time) trajectories by considering uncertainties during flight. 4D trajectory management is a necessary concept to meet future growth in air traffic. However, aircraft may deviate from its planned 4D trajectory due to uncertainties during flight, and a conflict between aircraft can occur and lead...
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