Kalman filtering and Riccati equations for descriptor systems

Abstract : The theory of Kalman filtering is extended to the case of systems with descriptor dynamics. Explicit expressions are obtained for this descriptor Kalman filter allowing for the possible singularity of the observation noise covariance. Asymptotic behavior of the filter in the time-invariant case is studied ; in particular, a method for constructing the solution of the algebraic descriptor Riccati equation is presented.
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Rapport
RR-1186, INRIA. 1990
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https://hal.inria.fr/inria-00075372
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Soumis le : mercredi 24 mai 2006 - 18:05:10
Dernière modification le : vendredi 16 septembre 2016 - 15:11:36
Document(s) archivé(s) le : mardi 12 avril 2011 - 22:47:52

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Ramine Nikoukhah, A.S. Willsky, Bernard C. Levy. Kalman filtering and Riccati equations for descriptor systems. RR-1186, INRIA. 1990. 〈inria-00075372〉

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