arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2602.17166cs.ROcs.SYeess.SY

三维逆飞行动力学与 tethered 固定翼飞机的应用

Geometric Inverse Flight Dynamics on SO(3) and Application to Tethered Fixed-Wing Aircraft

Robotics and Mechatronics lab, Faculty of Electrical Engineering, Mathematics & Computer Science, University of Twente(代尔夫特理工大学机器人与机电实验室,电气工程、数学与计算机科学学院,代尔夫特理工大学);Department of Computer, Control and Management Engineering, Sapienza University of Rome(罗马大学计算机、控制与管理工程系,罗马萨皮恩扎大学)

Antonio Franchi, Chiara Gabellieri

AI总结:

本文提出一种坐标无关的逆飞行动力学方法,用于固定翼飞机在SO(3)上的建模,通过几何定义气动方向,推导轨迹到输入的映射,并应用于 tethered 飞行,揭示了气动协调与重力矢量的解耦。

摘要:

我们提出了一种面向机器人学的、无坐标的逆飞行动力学方法,用于固定翼飞机在SO(3)上的建模。推力平衡在世界坐标系中表示,旋转动力学在机体坐标系中表示;气动方向(阻力、升力、侧向)通过几何方式定义,避免使用局部姿态坐标。通过强制协调飞行(无侧滑),我们推导出一个闭式轨迹到输入的映射,得到姿态、角速度和推力攻角对,并恢复气动力矩系数的分量。将此类映射应用于球面平行上的 tethered 飞行,我们获得了所需的坡度角的解析表达式,并识别出一个特定的零坡度轨迹,其中 tether 张力恰好平衡离心效应,突显了气动协调与 apparent gravity 矢量之间的解耦。在简单的升力/阻力定律下,最小推力攻角具有闭式解。这些点状准稳态逆解在轨迹和旋转动力学时间不变时成为稳态飞行平衡。该框架连接了航空中的逆模拟与机器人学中的几何建模,提供了一个严谨的构建块用于轨迹设计和可行性检查。

英文摘要:

We present a robotics-oriented, coordinate-free formulation of inverse flight dynamics for fixed-wing aircraft on SO(3). Translational force balance is written in the world frame and rotational dynamics in the body frame; aerodynamic directions (drag, lift, side) are defined geometrically, avoiding local attitude coordinates. Enforcing coordinated flight (no sideslip), we derive a closed-form trajectory-to-input map yielding the attitude, angular velocity, and thrust-angle-of-attack pair, and we recover the aerodynamic moment coefficients component-wise. Applying such a map to tethered flight on spherical parallels, we obtain analytic expressions for the required bank angle and identify a specific zero-bank locus where the tether tension exactly balances centrifugal effects, highlighting the decoupling between aerodynamic coordination and the apparent gravity vector. Under a simple lift/drag law, the minimal-thrust angle of attack admits a closed form. These pointwise quasi-steady inversion solutions become steady-flight trim when the trajectory and rotational dynamics are time-invariant. The framework bridges inverse simulation in aeronautics with geometric modeling in robotics, providing a rigorous building block for trajectory design and feasibility checks.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑