TY - GEN
T1 - Attitude determination by minimizing polynomial functions based on semidefinite relaxation
AU - Tian, Yang
AU - Cheng, Yang
AU - Crassidis, John L.
PY - 2014
Y1 - 2014
N2 - Many optimal attitude determination problems can be formulated as minimization problems with polynomial objective functions and polynomial constraints. For these problems, which usually have multiple local minima, a gradient- based local search method can converge to a local minimum but cannot guarantee that the global minimum is found. Based on semidefinite relaxation, the Wahba problem, the general Wahba problem, and the GPS attitude determination problem are solved as both sum-of-squares problems and generalized problems of moments. The semidefinite relaxation based attitude solutions are shown to be identical to the globally optimal attitude solutions.
AB - Many optimal attitude determination problems can be formulated as minimization problems with polynomial objective functions and polynomial constraints. For these problems, which usually have multiple local minima, a gradient- based local search method can converge to a local minimum but cannot guarantee that the global minimum is found. Based on semidefinite relaxation, the Wahba problem, the general Wahba problem, and the GPS attitude determination problem are solved as both sum-of-squares problems and generalized problems of moments. The semidefinite relaxation based attitude solutions are shown to be identical to the globally optimal attitude solutions.
UR - https://www.scopus.com/pages/publications/84898991144
M3 - Conference contribution
SN - 9780877036050
T3 - Advances in the Astronautical Sciences
SP - 2811
EP - 2820
BT - Astrodynamics 2013 - Advances in the Astronautical Sciences
PB - Univelt Inc.
T2 - 2013 AAS/AIAA Astrodynamics Specialist Conference, Astrodynamics 2013
Y2 - 11 August 2013 through 15 August 2013
ER -