Abstract A method to estimate the general rigid body attitude using a minimal modified Rodrigues parameters (MRP) coordinate set is presented. The singularity avoidance technique is based on the stereographic projection properties of the MRP set, and makes use of a simple mapping relationship between MRP representations. Previous work has used the MRP duality to avoid singular attitude descriptions but has ignored the associated covariance transformation. This article presents a mapping to transform the state covariance matrix between these two representations as the attitude description is mapped between the two possible MRP sets. Second-order covariance transformations suitable for divided difference filtering are also provided. The MRP filter formulation based on extended Kalman filtering and divided difference filtering is compared with a standard multiplicative quaternion Kalman filter in an example problem.


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    Titel :

    Nonsingular Attitude Filtering Using Modified Rodrigues Parameters


    Beteiligte:

    Erschienen in:

    Erscheinungsdatum :

    2009




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Print


    Sprache :

    Englisch



    Klassifikation :

    Lokalklassifikation TIB:    770/7040
    BKL:    55.60 Raumfahrttechnik



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