Polynomial equations for the linear MMSE state estimation

L Chisci,E Mosca

doi:10.1109/9.135499

Polynomial equations for the linear MMSE state estimation

L Chisci, E Mosca

https://doi.org/10.1109/9.135499

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Journal: IEEE Transactions on Automatic Control	Publication Date: May 1, 1992
Citations: 29

Affiliation: University of Florence

#Linear Minimum Mean Square #Minimum Mean Square Error + Show 8 more

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Abstract

The linear minimum mean square error (MMSE) state estimation problem is solved via spectral factorization and a pair of bilateral Diophantine equations. Detectability and/or stability requirements, in the Riccati-based solution context are expressed in terms of the stability of the greatest common right and left divisors of polynomial matrices.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>

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