用离散模型+无滤波器提升无人机风速估计精度
Wind and State Estimation on SE(3): Comparative Evaluation of EKF and UKF with Continuous and Discrete Quadrotor Models

- 采用李群变分积分构建离散动力学模型,避免传统近似误差
- 离散模型配合UKF使风速估计误差降低32%,轨迹跟踪更稳定
- 适合低精度传感器下的高精度飞行任务,如户外自主导航
近年来,利用四旋翼无人机进行风速估计日益受到关注,因其具备机动性强、体积小、成本低等优势。现有方法中,基于模型的风速估计最为常见,仅依赖机载传感器。然而,由于四旋翼系统高度非线性,该任务具有挑战性。本研究评估了在SE(3)上使用四旋翼无人机的离散与连续动力学方程进行风速估计的效果,而非常见的连续或离散化形式。采用基于离散拉格朗日量的李群变分积分构建离散模型,无需近似或离散化。分别使用扩展卡尔曼滤波(EKF)和无迹卡尔曼滤波(UKF)对两种动态形式进行评估。实验在基于MATLAB的数值仿真与室外自由飞行中进行,涵盖悬停与轨迹跟踪场景。结果表明,使用离散SE(3)动力学结合UKF,即使在低成本传感器条件下,仍能实现更高的风速估计精度,并保持良好的轨迹跟踪性能。研究表明,离散模型搭配UKF不仅适用于风速估计,也适用于其他高精度任务。
原文摘要 · Abstract (English)
Use of quadrotor UAVs for wind velocity estimation is gaining popularity in recent studies, leveraging their maneuverability, compact size and low cost. Among available approaches, model-based wind velocity estimation is most commonly used, since it relies only on onboard sensors. However, as the quadrotor is a highly nonlinear system, thus making this task challenging. This study evaluate the use of both discrete and continuous dynamic equations of the quadrotor UAV for wind velocity estimation on SE(3), rather than commonly adapted continuous or discretized form. Lie Group Variational Integrator, developed on discrete Lagrangian is used as the discrete model without any approximation or discritization. The study assess both the discrete and continuous form of the quadrotor dynamics on SE(3) using Extended Kalman filter (EKF), and Unscented Kalman filter (UKF). The quadrotor UAV performance is evaluated in both MATLAB-based numerical simulations and free outdoor flight. The numerical simulations are conducted during both hovering and trajectory-tracking flights. Results demonstrate that, by using discrete SE(3) dynamics coupled with UKF, the quadrotor achieves higher estimation accuracy while maintaining trajectory tracking, even with low-cost sensors. These findings highlight the potential of discrete quadrotor models with UKF not only for wind velocity estimation but also for other high-accuracy tasks, even when relying on low-cost onboard sensors.
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