Stochastic optimal control for aircraft conflict resolution under wind uncertainty
Stochastic optimal control for aircraft conflict resolution under wind uncertainty
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DOI：
10.1016/j.ast.2015.02.018
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发表时间：
2015-06
影响因子：
5.6
通讯作者：
Yoshinori Matsuno;T. Tsuchiya;Jian Wei;Inseok Hwang;N. Matayoshi
中科院分区：
文献类型：
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作者：
Yoshinori Matsuno;T. Tsuchiya;Jian Wei;Inseok Hwang;N. Matayoshi
本文提出了一种确定风不确定性条件下三维无冲突飞机飞行轨迹的随机最优控制方法。首先，利用空间相关风模型描述风的不确定性，提出了一种基于广义多项式混沌方法的概率冲突检测算法。广义多项式混沌算法可以对复杂非线性动力系统中的不确定性进行量化，计算效率高。此外，提出了一种将广义多项式混沌方法与伪谱方法相结合的数值算法，将冲突求解问题作为随机最优控制问题来解决。将随机最优控制方法与所提出的冲突检测算法相结合，解决了风不确定性下的冲突解决问题。通过多架异构飞机的三维飞机冲突检测与解决实例，对所提出的冲突检测与解决算法的性能和有效性进行了评价和验证。
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 uncertainties in complex nonlinear dynamical systems with high computational efficiency. In addition, a numerical algorithm that incorporates the generalized polynomial chaos method into the pseudospectral method is proposed to solve the conflict resolution problem as the stochastic optimal control problem. The stochastic optimal control method is combined with the proposed conflict detection algorithm to solve the conflict resolution problem under the wind uncertainty. Through illustrative three-dimensional aircraft conflict detection and resolution examples with multiple heterogeneous aircraft, the performance and effectiveness of the proposed conflict detection and resolution algorithms are evaluated and demonstrated.