TY  - JOUR
T1  - Industrial Application of Optimal Filtering for States Polynomials
Incompletely Measurable with Cross Noise
AU - Rodriguez Serrezuela, Ruthber AU - Lucia Paque Salazar, Ana AU - Bernardo Ramirez Zarta, Jorge AU - Alexander Carvajal Pinilla, Luis 
JO  - Journal of Engineering and Applied Sciences
VL  - 13
IS  - 9
SP  - 2536
EP  - 2543
PY  - 2018
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2018.2536.2543
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2018.2536.2543
KW  - Kalman-Bucy filter
KW  -optimal filter
KW  -simulation
KW  -independent
KW  -cross-noise
KW  -performance
AB  - Our study discusses the optimal filtration problem for the states of the linear system of polynomials
with the polynomial cross noise over the comments with an arbitrary, not necessarily invertible, the observation
matrix is treated proceeding from the general term for stochastic variation. For this case, we use, the Ito
differentials of the best estimate of the variance and the error corresponding to the filtering problem indicated
are drift first. Derived from this is a transformation of the observation equation to reduce the original problem
of an invertible observable matrix. The procedure for obtaining a closed system of filter equations for a linear
polynomial any state with the cross-noise polynomial over observations is then established, yields that closed
the explicit form of equations in particular filtering boxes of linear equations and bilinear status. As an example,
the performance of the optimum filter of the optimal filter for a quadratic state with an independent state noise
and a conventional extended Kalman-Bucy filter is presented as an analysis of the results obtained in Matlab.
ER  -