Optimal guidance of the Isotropic Rocket in a partially uncertain flow field
Optimal guidance of the Isotropic Rocket in a partially uncertain flow field
复制标题
部分不确定流场中各向同性火箭的最优制导
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
E. Bakolas
中科院分区：
文献类型：
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作者：
Jhanani Selvakumar;E. Bakolas
在本文中，我们解决的问题的特点的最佳策略，引导所谓的各向同性火箭到一个固定的目标，在存在的部分已知的流场。我们重新制定的指导问题成一个等价的两个玩家的追求逃避游戏，逃避者有一个修改的矢量图。首先，我们刻画了两个玩家的最优策略，假设逃避者是可捕获的。然后，我们推导出捕获的必要条件，并使用数值模拟计算最优值函数（等时线）的水平集来可视化可捕获性包络。此外，我们考虑一个更一般的情况下的游戏，追求者受到摩擦（或阻力）。在这种情况下，我们确定的捕获带的几何性质的等时线。
In this paper, we address the problem of characterizing the optimal strategy for guiding the so-called Isotropic Rocket to a fixed target in the presence of a partially known flowfield. We reformulate the guidance problem into an equivalent two-player pursuit evasion game, where the evader has a modified vectogram. First, we characterize the optimal strategies for both players, assuming that the evader is capturable. Then, we derive the necessary condition for capture, and visualize the capturability envelope using numerical simulations in which we compute the level sets of the optimal value function (isochrones). In addition, we consider a more general case of the game, where the pursuer is affected by friction (or drag). In that case, we identify the capture zones from geometric properties of the isochrones.