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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 作者單位: Institute of Aerospace Science & Technology, Shanghai Jiao Tong University, Shanghai 200240, China 期 刊: 浙江大學(xué)學(xué)報(英文版)(A輯:應(yīng)用物理和工程) ISTICEISCI Journal: Journal of Zhejiang University Science A 年,卷(期): 2011, 12(11) 分類號: V448.22+4 Keywords: Linear attitude determination Geometric analysis Gibbs vector Singularity avoidance 機標(biāo)分類號: V44 TH8 機標(biāo)關(guān)鍵詞: geometric analysis orthogonal coordinates optimality computational speed Three singularity real-time QUEST final close use 基金項目:【Optimal linear attitude estimators v】相關(guān)文章:
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