Table 1.

Shorthand table of filtering algorithms.

$\mathbf{Shorthand}$	$\mathbf{Explanation}$
$\mathbf{KF}$	A method for state estimation of linear systems.
$\mathbf{CKF}$	A method for state estimation of nonlinear systems.
$\mathbf{DCKF}$	Aiming at the system introduced in this article, a derivative algorithm is proposed by combining the KF and CKF algorithms. The KF algorithm is used for the linear part of the system, and the CKF algorithm is used for the nonlinear part of the system.
$\mathbf{SVD}-\mathbf{DCKF}$	The Cholesky decomposition for solving cubature points in the DCKF algorithm is replaced with SVD decomposition.
$\mathbf{Federated}\mathbf{filter}$	An information fusion framework.
$\mathbf{SVD}-\mathbf{FDCKF}$	Apply SVD-DCKF as a sub-filter to the federated filter.