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基于K-矩阵的捷联惯导系统初始四元数提取 被引量:1

K-Matrix Based Initial Quaternion Extraction of Strapdown Inertial Navigation System
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摘要 捷联惯导系统的姿态算法是其导航算法的关键环节,应用四元数来描述运载体姿态的变化在实际工程中应用广泛,其中的初始四元数提取精度直接影响到导航解算精度。针对这个问题,在传统提取算法的基础上,得到了基于K-矩阵的初始四元数提取算法,并对正交和非正交初始姿态矩阵的四元数提取进行了对比分析。初始姿态矩阵算例的提取验证表明,基于K-矩阵的提取算法运算量较小,且对于非正交姿态矩阵能有效提高四元数提取的精度,为改进姿态解算的初始四元数提取算法提供了参考。 The attitude algorithm of strapdown inertial navigation system (SINS) is a key part of its navigation algorithm. Describing the change of carrier's attitude with quatemion has found a wide application in practical engineering, of which, the accuracy of initial quaternion extraction has a direct influence on the calculation accuracy of navigation. To this problem, on the basis of traditional extraction algorithms, an initial quatemion extraction algorithm based on K-matrix was obtained, and a comparative analysis of quatemion extraction with orthogonal and non-orthogonal initial attitude matrix was made. The extraction and verification of initial attitude matrix example showed that the extraction algorithm based on K-matrix has a lower computational complexity, and it can effectively improve the accuracy of quaternion extraction for non- orthogonal attitude matrix. The method provides a reference for improving initial quaternion extraction algorithm of attitude calculation.
出处 《电光与控制》 北大核心 2015年第6期35-38,共4页 Electronics Optics & Control
关键词 捷联惯导 四元数 姿态矩阵 提取 strapdown inertial navigation quatemion attitude matrix extraction
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