The truncated second-order nonlinear filter revisited

1 February 1982

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control

Vol. 27 (1) , 247-251
https://doi.org/10.1109/tac.1982.1102840

Abstract

By rederiving the truncated second-order nonlinear filter, it is shown that the original derivations of this filter contain errors, or at least illogical approximations. The so-called modified truncated second-order nonlinear filter is, furthermore, shown to be the correct form of this filter provided a small correction is made in the discrete-time case.

Keywords

This publication has 9 references indexed in Scilit:

On the optimal and suboptimal nonlinear filtering problem for discrete-time systems
IEEE Transactions on Automatic Control, 1978
Matrix Calculus Operations and Taylor Expansions
SIAM Review, 1973
Derivative operations on matrices
IEEE Transactions on Automatic Control, 1970
A comparison of three non-linear filters
Automatica, 1969
Suboptimal state estimation for continuous-time nonlinear systems from discrete noisy measurements
IEEE Transactions on Automatic Control, 1968
A computational comparison of several nonlinear filters
IEEE Transactions on Automatic Control, 1968
Approximations to optimal nonlinear filters
IEEE Transactions on Automatic Control, 1967
Filtering for nonlinear dynamical systems
IEEE Transactions on Automatic Control, 1966
Optimal multichannel nonlinear filtering
Journal of Mathematical Analysis and Applications, 1966