Neighboring Optimal Aircraft Guidance in Winds
Neighboring Optimal Aircraft Guidance in Winds
复制标题
风中邻近最优飞机制导
DOI：
10.2514/2.4798
复制
发表时间：
2000
影响因子：
2.6
通讯作者：
A. Bryson
中科院分区：
文献类型：
--
作者：
M. Jardin;A. Bryson
将邻域最优控制技术推广到处理系统动态模型中参数变化的情况。这种扩展是用来开发一种算法，用于优化水平飞机轨迹在一般风场使用时变线性反馈增益。最小时间问题的飞机水平行驶在两个点之间的变化的风场（Zermelo问题的一种类型）被用来说明如何在系统参数的扰动可以通过增加额外的偏置状态的动态模型。对于在跨轨道方向上的一个恒定的风切变的特殊情况下，偏置扰动的分析和数值结果。数值仿真结果表明，所提出的状态增强技术的性能。一个额外的例子是用来证明一种算法来计算接近最佳的轨迹在一般的风场。该算法是基于无量纲化相邻的最优控制解，并使用分段线性变化的风和水平风切变参数。这种技术的一个拟议的应用是计算和实时更新的时间最佳轨迹在风场的机载飞行管理系统和地面的空中交通管理自动化工具。
The technique of Neighboring Optimal Control is extended to handle cases of parameter change in the system dynamic model. This extension is used to develop an algorithm for optimizing horizontal aircraft trajectories in general wind fields using time-varying linear feedback gains. The minimum-time problem for an airplane traveling horizontally between two points in a variable wind field (a type of Zermelo Problem) is used to illustrate how perturbations in system parameters can be accounted for by augmenting the dynamic model with additional bias states. For the special case of a constant wind shear in the cross-track direction, analytical and numerical results are derived for bias perturbations. Numerical simulations are presented to demonstrate the performance of the proposed state-augmentation technique. An additional example is used to demonstrate an algorithm to compute near-optimal trajectories in general wind fields. The algorithm is based on nondimensionalizing the neighboring optimal control solutions and using piecewise linearly varying wind and horizontal wind shear parameters. One proposed application of this technique is to the computation and real-time update of time-optimal trajectories in wind fields by onboard flight management systems and by ground-based air traffic management automation tools.