This paper describes the development of an approximate method for propagating uncertainty through stochastic dynamical systems using a quadrature rule integration based method. The development of quadrature rules for Gaussian mixture distributions is discussed. A numerical solution to this problem is considered that uses a Gram-Schmidt process. The new approach is applied to the attitude estimation problem. The proposed method outperforms the unscented Kalman filter for attitude estimation for scenario with large initial error.
|Original language||English (US)|
|Number of pages||19|
|Journal||Advances in the Astronautical Sciences|
|State||Published - 2013|
|Event||23rd AAS/AIAA Space Flight Mechanics Meeting, Spaceflight Mechanics 2013 - Kauai, HI, United States|
Duration: Feb 10 2013 → Feb 14 2013