Abstract
In this paper, the semidefinite relaxation method is applied to the problem of determining the orientation of a solid body relative to the local horizon using satellite navigation. It is shown how the initial nonconvex quadratic programming problem is immersed in a wider class of convex optimization problems that allow an effective solution. Instead of the original computationally complex problem, a convex problem was solved, giving an approximate solution of the original problem. The proposed approach is applied to the processing of experimental data.
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Russian Text © L.B. Rapoport, 2018, published in Problemy Upravleniya, 2018, No. 5, pp. 79–83.
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Rapoport, L.B. Application of the Method of Semidefinite Relaxation for Determining the Orientation of a Solid Body in Space. Autom Remote Control 80, 773–780 (2019). https://doi.org/10.1134/S0005117919040131
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DOI: https://doi.org/10.1134/S0005117919040131