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• W1999463696 abstract "This paper designs a discrete-time filter for nonlinear polynomial systems driven by additive white Gaussian noises over linear observations. The solution is obtained by computing the time-update and measurement-update equations for the state estimate and the error covariance matrix. A closed form of this filter is obtained by expressing the conditional expectations of polynomial terms as functions of the estimate and the error covariance. As a particular case, a third-degree polynomial is considered to obtain the finite-dimensional filtering equations. Numerical simulations are performed for a third-degree polynomial system and an induction motor model. Performance of the designed filter is compared with the extended Kalman one to verify its effectiveness." @default.
• W1999463696 created "2016-06-24" @default.
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• W1999463696 date "2014-01-14" @default.
• W1999463696 modified "2023-09-26" @default.
• W1999463696 title "Discrete-time filtering for nonlinear polynomial systems over linear observations" @default.
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• W1999463696 doi "https://doi.org/10.1080/00207721.2013.876681" @default.
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