NDLI: Mean-square filter design for nonlinear polynomial systems with Poisson noise

Content Provider	IEEE Xplore Digital Library
Author	Basin, M. Maldonado, J.J.
Copyright Year	2011
Description	Author affiliation: Dept. of Phys. & Math. Sci., Autonomous Univ. of Nuevo Leon, San Nicolas de los Garza, Mexico (Basin, M.; Maldonado, J.J.)
Abstract	This paper presents the mean-square filtering problem for incompletely measured polynomial system states, confused with white Poisson noises, over linear observations. The problem is treated proceeding from the general expression for the stochastic Ito differential of the optimal estimate and the error variance. As a result, the Ito differentials for the optimal estimate and error variance corresponding to the stated filtering problem are first derived. The procedure for obtaining a closed system of the filtering equations for any polynomial system state with white Poisson noises over linear observations is then established, which yields the explicit closed form of the filtering equations in the particular case of a third-order state equation. In the example, performance of the designed optimal filter is verified against the conventional mean-square polynomial filter designed for systems with white Gaussian noises.
Sponsorship	Control Syst. Soc.
Starting Page	612
Ending Page	617
File Size	138791
Page Count	6
File Format	PDF
ISBN	9781457700804
ISSN	07431619
e-ISBN	9781457700811
DOI	10.1109/ACC.2011.5991082
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-06-29
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Polynomials Mathematical model Indium tin oxide Gaussian noise White noise
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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