2D Closed-Form Solution for the Measurement of the Angle of Attack and Sideslip Angle

A. Brandl, P. Gili
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Abstract

At the beginning of 2021, the measurement of the Angle of Attack and of the Angle of Sideslip is still mainly conducted with physical protruding probes. Although several alternative methods have been proposed in literature, the attention is generally focused on data-driven methods and little discussion is conducted on the mathematical problem. If the formulation that allows to associate the aerodynamic angles to other flight parameters has a closed-form solution is still an open question in the field. This paper provides a closed-form solution for a restricted problem where one of the two angle is known. Moreover, a linearized solution is provided. The result section gives evidence of the approach in simulated environment, showing the advantages of the nonlinear solution with respect to the linear one.
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攻角和侧滑角测量的二维封闭解
2021年初,攻角和侧滑角的测量仍以物理突测探头为主。虽然文献中提出了几种替代方法,但注意力一般集中在数据驱动方法上,对数学问题的讨论很少。将气动角与其他飞行参数联系起来的公式是否有一个封闭的解仍然是该领域的一个悬而未决的问题。本文给出了一个已知两个角之一的受限问题的封闭解。并给出了线性化解。结果部分给出了该方法在模拟环境中的证明,显示了非线性解相对于线性解的优点。
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