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State Sensitivity Evaluation Within UD Based Array Covariance Filters

delete2013-11-01
delete28
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OA
AI
J
Julia V. Tsyganova *
M
Maria V. Kulikova
DOI:10.1109/TAC.2013.2259093delete
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摘要

摘要

En 中文
This technical note addresses the UD factorization based Kalman filtering (KF) algorithms. Using this important class of numerically stable KF schemes, we extend its functionality and develop an elegant and simple method for computation of sensitivities of the system state to unknown parameters required in a variety of applications. For instance, it can be used for efficient calculations in sensitivity analysis and in gradient-search optimization algorithms for the maximum likelihood estimation. The new theory presented in this technical note is a solution to the problem formulated by Bierman et al. in [1], which has been open since 1990s. As in the cited paper, our method avoids the standard approach based on the conventional KF (and its derivatives with respect to unknown system parameters) with its inherent numerical instabilities and, hence, improves the robustness of computations against roundoff errors.
Keyword:
Array algorithms
filter sensitivity equations
Kalman filter
UD factorization

期刊

IEEE Transactions on Automatic Control 封面图
IEEE Transactions on Automatic Control
IF:
7
论文数:
1.3W
被引数:
6.7W

机构

U
universidade de lisboa
学者数:
3.4W
论文数: 3.1W
被引数: 29
Ulyanovsk State University 封面图
Ulyanovsk State University
学者数:
219
论文数: 157
被引数: 39
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