Highlights An observation vector preprocessing algorithm improves accuracy of the vector inertia tensor attitude estimation algorithm. The case of a single highly accurate observation vector is treated by the preprocessing algorithm. The error covariance matrix is the inverse of the related observation vector inertia tensor. The observation vector related inertia tensor is identified as the information matrix.

    Abstract The recently developed Vector Inertia Tensor Attitude Estimation, VITAE, method is enhanced by the addition of two different preprocessing algorithms that modify the observation vectors prior to attitude estimation. The first preprocessing algorithm is for use in cases that have one observation vector that is much more accurate than the other observation vectors. Such cases suffer numerical error caused by the large relative weight of the very accurate observation vector. Use of the preprocessing algorithm eliminates large variation in vector weights and resulting numerical error. The second preprocessing algorithm enables VITAE to generate results equivalent to a very accurate suboptimal attitude determination algorithm that produces results extremely close to the optimum solution. Preprocessing algorithms eliminate the need to select observation vector weights to remove eigenvalue degeneracy and allows the weights to be based solely on optimality, thereby improving estimation accuracy. When optimum weights are used, the inertia matrix is recognized as the information matrix, which links VITAE to other attitude estimation algorithms. The preprocessing algorithms used with VITAE were able to uncover erroneous results in a few published test cases. The VITAE solutions were validated analytically, through the inertia matrix’s inverse relationship to the error covariance matrix. A loss function comparison is also included to further validate the preprocessing algorithms and related VITAE solution.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Preprocessing observation vectors to increase attitude estimation accuracy


    Contributors:

    Published in:

    Advances in Space Research ; 64 , 1 ; 223-238


    Publication date :

    2019-03-15


    Size :

    16 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English




    Attitude estimation apparatus, attitude estimation method, and observation system

    HINO MOMOYO / MAEHARA HIDEAKI / TAIRA KENJI et al. | European Patent Office | 2021

    Free access

    ATTITUDE ESTIMATION APPARATUS, ATTITUDE ESTIMATION METHOD, AND OBSERVATION SYSTEM

    HINO MOMOYO / MAEHARA HIDEAKI / TAIRA KENJI et al. | European Patent Office | 2019

    Free access

    ATTITUDE ESTIMATION DEVICE, ATTITUDE ESTIMATION METHOD, AND OBSERVATION SYSTEM

    HINO MOMOYO / MAEHARA HIDEAKI / TAIRA KENJI et al. | European Patent Office | 2017

    Free access

    Effect of Observation Errors on Satellite Attitude Estimation

    Fischl, Robert / Mc Ilvaine, James P. | IEEE | 1972