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Rare Event Simulation of a Rotorcraft System

机译:旋翼飞机系统的罕见事件模拟

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We demonstrate an algorithm for efficient rare event sampling in a rotorcraft model. Helicopter design parameters are typically chosen for efficient performance in cruise and hover. At the same time, structural components such as the length of the tail are chosen so that the rotorcraft is stable under perturbation by environmental factors such as noisy wind. In the face of stochastic forcing, however, environmental conditions may still lead to rare accidents despite good engineering design. We adapt a recent dynamic importance sampling algorithm for small-noise diffusions, derived from the theory of large deviations, to efficient sampling of rare events in a model rotorcraft system. The method achieves variance reduction in estimating the probabilities of stall events, and helps identify the dynamics leading to these phenomena.
机译:我们演示了一种用于旋翼飞机模型中的有效稀有事件采样的算法。通常选择直升机设计参数以提高巡航和悬停时的性能。同时,选择诸如尾巴的长度之类的结构部件,以使旋翼飞机在诸如噪声之类的环境因素的干扰下是稳定的。然而,面对随机的强迫,尽管工程设计良好,但环境条件仍可能导致罕见的事故。我们将最近的动态重要性采样算法(适用于从大偏差理论衍生而来的用于小噪声扩散)适应于模型旋翼飞机系统中稀有事件的有效采样。该方法在估计失速事件的概率方面实现了方差减小,并有助于识别导致这些现象的动力学。

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