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Nanosatellite attitude estimation using Kalman-type filters with non-Gaussian noise

机译:使用具有非高斯噪声的卡尔曼型滤波器的纳米卫星姿态估计

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摘要

In order to control the orientation of a satellite, it is important to estimate the attitude accurately. Time series estimation is especially important in micro and nanosatellites, whose sensors are usually low-cost and have higher noise levels than high end sensors. Also, the algorithms should be able to run on systems with very restricted computer power. In this work, we evaluate five Kalman-type filtering algorithms for attitude estimation with 3-axis magnetometer and sun sensor measurements. The Kalman-type filters are selected so that each of them is designed to mitigate one error source for the unscented Kalman filter that is used as baseline. We investigate the distribution of the magnetometer noises and show that the Student's t-distribution is a better model for them than the Gaussian distribution. We consider filter responses in four operation modes: steady state, recovery from incorrect initial state, short-term sensor noise increment, and long-term increment. We find that a Kalman-type filter designed for Student's t sensor noises has the best combination of accuracy and computational speed for these problems, which leads to a conclusion that one can achieve more improvements in estimation accuracy by using a filter that can work with heavy tailed noise than by using a nonlinearity minimizing filter that assumes Gaussian noise. (C) 2019 Elsevier Masson SAS. All rights reserved.
机译:为了控制卫星的方向,准确估计姿态非常重要。在微型和纳米卫星中,时间序列估计尤为重要,因为它们的传感器通常价格低廉,并且比高端传感器具有更高的噪声水平。同样,这些算法应该能够在计算机能力非常有限的系统上运行。在这项工作中,我们评估了五种Kalman型滤波算法,用于利用3轴磁力计和太阳传感器测量进行姿态估计。选择卡尔曼型滤波器,以便对每个滤波器进行设计,以减轻用作基准的无味卡尔曼滤波器的一个误差源。我们调查了磁力计噪声的分布,并表明,与高斯分布相比,学生的t分布对它们的分布更好。我们考虑滤波器在四种工作模式下的响应:稳态,从错误的初始状态中恢复,短期传感器噪声增量和长期增量。我们发现,针对学生的t传感器噪声而设计的Kalman型滤波器具有针对这些问题的精度和计算速度的最佳组合,这得出了一个结论,即通过使用可以在较重的条件下工作的滤波器,可以在估计精度上实现更多的改进。尾部噪声,而不是使用假定高斯噪声的非线性最小化滤波器。 (C)2019 Elsevier Masson SAS。版权所有。

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