Stochastic Near-Optimal Control for Aircraft Arrival Sequencing and Conflict Resolution

Abstract

In this paper, a stochastic near-optimal control method is proposed for simultaneously determining aircraft arrival sequences and conflict resolution trajectories in the presence of uncertainty. The previous study developed a stochastic near-optimal control method for aircraft conflict resolution based on a recently developed surrogate modeling technique called polynomial chaos kriging, which can accurately generate near-optimal conflict resolution trajectories in real time without actually solving the computationally expensive stochastic optimal control problems. This stochastic near-optimal control method is extended to simultaneously determine arrival sequences and conflict resolution trajectories in real time. Through illustrative numerical examples, the performance and effectiveness of the proposed concurrent arrival sequencing and conflict resolution algorithm based on the stochastic near-optimal control method are evaluated and demonstrated.