FAST THREE-AXIS ATTITUDE DETERMINATION USING VECTOR OBSERVATIONS AND INVERSE ITERATION.

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作者
TIETZE, JOHN L.
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| 1982年 / V 30卷 / N 2期
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COMPUTER PROGRAMS;
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摘要
AN ALGORITHM IS DEVELOPED TO FIND THE OPTIMAL ROTATION MATRIX THAT TRANSFORMS A SET OF REFERENCE VECTORS INTO A CORRESPONDING SET OF MEASUREMENT VECTORS. THE ALGORITHM MINIMIZES AQUADRATIC LOSS FUNCTION IN WHICH THE ROTATION MATRIX IS REPRESENTED AS A QUATERNION. THE MINIMIZING QUATERNION IS SHOWNTO BE AN EIGENVECTOR OF A SPECIAL MATRIX. THIS EIGENVECTOR IS FOUND BY INVERSE ITERATION. THE ALGORITHM IS COMPUTATIONALLY EFFICIENT AND ELIMINATES A SINGULARITY CONDITION CONTAINED IN A PREDECESSOR ALGORITHM.
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页码:171 / 179
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