NDLI: Sparse Gauss-Hermite Quadrature filter for spacecraft attitude estimation

Content Provider	IEEE Xplore Digital Library
Author	Bin Jia Ming Xin Yang Cheng
Copyright Year	2010
Description	Author affiliation: Mississippi State Univ., Starkville, MS, USA (Bin Jia; Ming Xin; Yang Cheng)
Abstract	In this paper, a new nonlinear filter based on Sparse Gauss-Hermite Quadrature (SGHQ) is proposed for spacecraft attitude estimation. Gauss-Hermite Quadrature (GHQ) has been widely used in numerical integration and nonlinear filtering. However, for multi-dimensional problems, the conventional GHQ based filter using product operations is difficult to implement because the number of points increases exponentially with dimensions. To solve this problem, the Smolyak's product rule has been used to extend GHQ rule to high dimensional problems. The contribution of this work is to design a new sparse-grid GHQ filter using Smolyak's product rule to alleviate the curse-of-dimensionality problem of the conventional GHQ filter. The number of SGHQ points needed for high dimensional problems is considerably smaller than the original GHQ method. Hence, the efficiency of using GHQ can be significantly improved. The performance of this new filter is demonstrated by the application to the spacecraft attitude estimation problem, which shows better results than the Extended Kalman Filter (EKF).
Starting Page	2873
Ending Page	2878
File Size	487866
Page Count	6
File Format	PDF
ISBN	9781424474264
ISSN	07431619
e-ISBN	9781424474271
DOI	10.1109/ACC.2010.5531487
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-06-30
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Gaussian processes Space vehicles Filtering Gaussian noise Multidimensional systems Bayesian methods Nonlinear equations Noise measurement Particle filters Attitude control
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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