An aircraft transition connects two flight conditions and is a fundamental component of aerospace operations. For achieving a seamless transition that accurately connects two steady flights, a hierarchical parameterization method is developed in this article for generating smooth flight trajectories satisfying hard boundary constraints on controls and control derivatives of all orders. The proposed work is based on a trigonometric series parameterization of control variables and hierarchically parameterizes the series coefficients with flat and logistic functions, leading to a new set of coefficients and a formulation that inherently guarantees the desired conditions. The new set of coefficients can be determined by optimization methods and can be integrated in existing methods with the advantage of streamlining the problem formulation. Simulation studies including comparisons demonstrate the effectiveness and performance of the proposed method.

中文翻译：

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无缝过渡轨迹生成的分层参数化

飞机过渡连接两种飞行条件，是航空航天运营的基本组成部分。为了实现准确连接两个稳定飞行的无缝过渡，本文开发了一种分层参数化方法，用于生成满足对所有阶次的控制和控制导数的硬边界约束的平滑飞行轨迹。所提出的工作基于控制变量的三角级数参数化，并使用平坦和逻辑函数对级数系数进行分层参数化，从而产生一组新的系数和固有地保证所需条件的公式。新的系数集可以通过优化方法确定，并且可以集成到现有方法中，具有简化问题公式化的优点。