Attitude Determination using Distances Measurements

UDC 513.7(045) DOI:10.18372/1990-5548.61.14208

L. M. Ryzhkov. Attitude Determination using Distances Measurements // Electronics and Control Systems, N 3(61) – Kyiv: NAU, 2019. – pp.24–28.

The attitude determination based on measuring the distances between points of the body and reference points (beacons) is analyzed. The conditions for choosing these points are determined. In the analysis, the matrix method and the least squares method were used. As part of the problem, a positioning problem of independent significance has been solved. The influence of distance measurement errors on the accuracy of determining the orientation is investigated. The proposed form of the loss function allows us to simplify the expression for the matrix of directional cosines and, thereby, perform an analytical analysis of errors. It is shown that for small errors, their influence on the accuracy of determining orientation angles can be characterized by an additional rotation of the coordinate system associated with the body. Theoretical and numerical analysis showed that the accuracy of determining the orientation can be significantly increased by increasing the number of measurements.

Index Term—distance; attitude; determination.

References: 4 names.