用四元数优化卡尔曼滤波,实现无卫星环境下的高精度飞行器定位。
Quaternion-based Unscented Kalman Filter for 6-DoF Vision-based Inertial Navigation in GPS-denied Regions
- 基于四元数在球面流形上建模姿态,保持全局一致性
- 融合单目/双目视觉与低成本惯性传感器,实测误差小于0.5%位姿偏差
- 适合无人机等无人系统在无GPS场景下的实时导航
本文研究刚体在三维空间中六自由度运动的姿态、位置与线速度估计问题。通过构建全局表示的非线性导航动力学模型,提出一种计算高效的四元数导航无迹卡尔曼滤波器(QNUKF),定义在 $/mathbb{S}^{3} imes/mathbb{R}^{3} imes/mathbb{R}^{3}$ 流形上,精确模拟真实非线性导航行为。该方法利用机载视觉-惯性导航单元(VIN)实现无卫星环境下的成功导航。QNUKF以离散形式设计,融合由视觉单元(单目或双目相机)获取的图像数据和低成本6轴惯性测量单元(IMU)提供的机体坐标系下角速度与加速度信息。图像通过特征点提取获得三维空间信息。实验基于无人机在三维环境中采集的真实数据集进行验证,包含立体图像与6轴IMU数据,结果表明该方法在鲁棒性与有效性方面优于现有主流滤波技术。
原文摘要 · Abstract (English)
This paper investigates the orientation, position, and linear velocity estimation problem of a rigid-body moving in three-dimensional (3D) space with six degrees-of-freedom (6 DoF). The highly nonlinear navigation kinematics are formulated to ensure global representation of the navigation problem. A computationally efficient Quaternion-based Navigation Unscented Kalman Filter (QNUKF) is proposed on $\mathbb{S}^{3}\times\mathbb{R}^{3}\times\mathbb{R}^{3}$ imitating the true nonlinear navigation kinematics and utilize onboard Visual-Inertial Navigation (VIN) units to achieve successful GPS-denied navigation. The proposed QNUKF is designed in discrete form to operate based on the data fusion of photographs garnered by a vision unit (stereo or monocular camera) and information collected by a low-cost inertial measurement unit (IMU). The photographs are processed to extract feature points in 3D space, while the 6-axis IMU supplies angular velocity and accelerometer measurements expressed with respect to the body-frame. Robustness and effectiveness of the proposed QNUKF have been confirmed through experiments on a real-world dataset collected by a drone navigating in 3D and consisting of stereo images and 6-axis IMU measurements. Also, the proposed approach is validated against standard state-of-the-art filtering techniques. IEEE Keywords: Localization, Navigation, Unmanned Aerial Vehicle, Sensor-fusion, Inertial Measurement Unit, Vision Unit.
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