Optimal linear attitude estimators via geometric analysis

Abstract：Three optimal linear attitude estimators are proposed for single-point real-time estimation of spacecraft attitude using a geometric approach.The final optimal attitude is represented by modified Rodrigues parameters(MRPs).After introducing incidental right-hand orthogonal coordinates for each pair of measured values,three error vectors are obtained by the use of dot or/and cross products.Corresponding optimality criteria are rigorously quadratic and unconstrained,which do not coincide with Wahbas constrained criterion.The singularity,which occurs when the principal angle is close to π,can be easily avoided by one proper rotation.Numerical simulations show that the proposed three optimal linear estimators can provide a precision comparable with those complying with the Wahba optimality definition,and have faster computational speed than the famous quatemion estimator(QUEST). 作者： Author： De-ren GONG  Xiao-wei SHAO  Wei LI  Deng-ping DUAN 作者单位： Institute of Aerospace Science & Technology, Shanghai Jiao Tong University, Shanghai 200240, China 期 刊： 浙江大学学报（英文版）（A辑：应用物理和工程）   ISTICEISCI Journal： Journal of Zhejiang University Science A 年，卷(期)： 2011, 12(11) 分类号： V448.22+4 Keywords： Linear attitude determination    Geometric analysis    Gibbs vector    Singularity avoidance    机标分类号： V44 TH8 机标关键词： geometric analysis    orthogonal coordinates    optimality    computational speed    Three    singularity    real-time    QUEST    final    close    use 基金项目：

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