Q-Learning-Based Noise Covariance Adaptation in Kalman Filter for MARG Sensors Attitude Estimation

Xiang Dai, Vahid Nateghi, H. Fourati, C. Prieur
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引用次数: 1

Abstract

The attitude estimation of a rigid body by magnetic, angular rate, and gravity (MARG) sensors is a research subject for a large variety of engineering applications. A standard solution for building up the observer is usually based on the Kalman filter and its different extensions for versatility and practical implementation. However, the performance of these observers has long suffered from the inaccurate process and measurement noise covariance matrices, which in turn entails tedious parameter turning procedures. To overcome the laborious noise covariance matrices regulation, we propose in this paper a Q-learning-based approach to autonomously adapt the values of process and measurement noise covariance matrices. The Q-learning method establishes a reinforcement learning mechanism that forces the noise covariance matrices pair with the least difference between predictions and measurements of output to be found in a predetermined candidate set of noise covariance matrices. The effectiveness of the Q-learning approach, applied to Extended Kalman filter-based attitude estimation, is validated through the Monte Carlo method that uses real flight data on an unmanned aerial vehicle.
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基于q -学习的MARG传感器姿态估计卡尔曼滤波噪声协方差自适应
利用磁、角、重力传感器对刚体进行姿态估计是一个具有广泛工程应用价值的研究课题。建立观测器的标准解决方案通常是基于卡尔曼滤波器及其不同的扩展,以实现通用性和实用性。然而,这些观测器的性能长期受到不准确的过程和测量噪声协方差矩阵的影响,这反过来又需要繁琐的参数转换过程。为了克服噪声协方差矩阵调节的费力性,本文提出了一种基于q学习的方法来自主适应过程噪声协方差矩阵和测量噪声协方差矩阵的值。q -学习方法建立了一种强化学习机制,强制在预定的噪声协方差矩阵候选集中找到预测和输出测量之间差异最小的噪声协方差矩阵对。q -学习方法应用于基于扩展卡尔曼滤波的姿态估计,并通过蒙特卡罗方法验证了其有效性,该方法使用了无人机的真实飞行数据。
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