International Journal of Dynamics and Control, Volume (7), No (3), Year (2019-9) , Pages (981-995)

Title : ( Extended modal Kalman filter )

Authors: Gh. Mohammaddadi , Naser Pariz , Ali Karimpour ,

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In this paper, based on Modal series, a new filter is proposed for a nonlinear system state estimation. Modal series is a new method to obtain a closed-form approximate solution of a nonlinear differential equation. Up to now, this series is only obtained in the neighborhood of an equilibrium point. In the proposed method, this series is attained in the neighborhood of the current estimated state vector that is named as Stochastic Extended Modal Series (SEMS). Based on SEMS and proper approximations, the proposed nonlinear filter is converted to a series of linear filters, and the extracted filter is named as Extended Modal Kalman Filter (EMKF). The performance of EMKF is analytically compared with that of Extended Kalman Filter (EKF), and its applicability presented with some simulations. Finally, it is proved that the EKF is a special case of EMKF.


Modal series · Nonlinear filtering · Modal Kalman filter
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author = {Gh. Mohammaddadi and Pariz, Naser and Karimpour, Ali},
title = {Extended modal Kalman filter},
journal = {International Journal of Dynamics and Control},
year = {2019},
volume = {7},
number = {3},
month = {September},
issn = {2195-268X},
pages = {981--995},
numpages = {14},
keywords = {Modal series · Nonlinear filtering · Modal Kalman filter},


%0 Journal Article
%T Extended modal Kalman filter
%A Gh. Mohammaddadi
%A Pariz, Naser
%A Karimpour, Ali
%J International Journal of Dynamics and Control
%@ 2195-268X
%D 2019