Title :
Unconstrained optimal transformation matrix
Author :
Markley, F. Landis ; Bar-Itzhack, Itzhack Y.
Author_Institution :
Guidance, Navigation & Control Branch, NASA Goddard Space Flight Center, Greenbelt, MD, USA
fDate :
1/1/1998 12:00:00 AM
Abstract :
We generalize Brock´s minimization of the loss function proposed by Wahba to give a least-squares estimate of satellite attitude. We follow Brock in relaxing Wahba´s requirement that the minimizing attitude matrix be orthogonal, and discuss the statistical properties of our new solution and its relation to existing attitude estimation algorithms
Keywords :
aerospace control; artificial satellites; attitude control; least squares approximations; Brock´s minimization; attitude estimation algorithms; least-squares estimate; loss function; minimizing attitude matrix; satellite attitude; statistical properties; unconstrained optimal transformation matrix; Constraint optimization; Loss measurement; Protection; Quaternions; Satellites; Space vehicles; Symmetric matrices; US Government; Weight measurement;
Journal_Title :
Aerospace and Electronic Systems, IEEE Transactions on
