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首页> 外文期刊>IEEE Transactions on Aerospace and Electronic Systems >Design of a Nonlinear Roll Mechanism for Airplanes Using Lie Brackets for High Alpha Operation
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Design of a Nonlinear Roll Mechanism for Airplanes Using Lie Brackets for High Alpha Operation

机译：使用Lie托架进行空间的非线性辊机机构的设计

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A nonlinear controllability analysis for fixed-wing aircraft has been performed in an earlier effort by the authors, which revealed a novel roll mechanism due to a nonlinear interaction between elevator and aileron control inputs. In this effort, we perform a detailed investigation of this novel roll mechanism, called Lie Bracket Roll Augmentation (LIBRA). First, we show the nonlinear flight physics associated with the LIBRA mechanism. Second, using the Fliess functional expansion, we perform a theoretical study of the effectiveness (degree of controllability) of the LIBRA mechanism in comparison to the conventional mechanism (using ailerons only). Third, to simulate the airplane response to a LIBRA input, we cast the problem of executing the LIBRA mechanism as a nonholonomic motion planning problem. In such a problem, a Lie bracket input is applied to generate motion along an unactuated direction. A Lie bracket input represents a nonlinear interaction between two (or more) control inputs to steer the system along a direction that is not directly actuated by any of these inputs (or their linear combinations). In this language, the LIBRA mechanism is simply a Lie bracket interaction between the elevator and aileron control inputs. We modify existing nonholonomic motion planning algorithms for systems with drift to be more feasible for flight control applications with bounded controls. We show that the LIBRA novel roll mechanism is superior compared to the conventional one during stall, where the aileron sensitivity degrades. In particular, the novel roll mechanism can provide an order of magnitude enhancement in the rolling capability over the conventional roll mechanism near stall.
机译：作者已经在提前的努力中进行了固定翼飞机的非线性可控性分析，该作者已经揭示了一种由于电梯和Aileron控制输入之间的非线性相互作用而揭示了一种新的辊机构。在这项努力中，我们对这种新颖的卷机制进行了详细的调查，称为Lie括号卷增强（天秤座）。首先，我们显示与天秤座机制相关的非线性飞行物理学。其次，使用FLIESS功能扩展，与传统机制相比，我们对LIBRA机制的有效性（可控性程度）进行了理论研究（仅使用jilerons）。第三，要模拟飞机对天秤座输入的响应，我们将执行Libra机制作为非完整运动规划问题的问题。在这样的问题中，施加谎言支架输入以沿着突出方向产生运动。谎言括号输入表示两个（或更多）控制输入之间的非线性交互，以沿着这些输入（或其线性组合）中的任何一个方向来转向系统。在这种语言中，Libra机制只是电梯和Aileron控制输入之间的谎言括号相互作用。我们修改了具有漂移的系统的现有非完整运动计划算法，对于具有有界控件的飞行控制应用更为可行。我们表明天秤座新颖的辊机构与传统在摊位期间的常规卷曲机构上升，其中厌氧敏感性降低。特别地，新颖的辊机构可以在速度附近的传统辊机构上提供滚动能力的幅度增强级。

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