“A correction of a common error in truncated second order nonlinear filters”
Authors: Rolf Henriksen,Affiliation: NTNU, Department of Engineering Cybernetics
Reference: 1980, Vol 1, No 3, pp. 187-193.
Keywords: Estimation, non-linear filtering, stochastic systems
Abstract: A rederivation of the truncated second-order non-linear filter reveals that a significant error appears in previous derivations of this filter. What has previously been termed the modified truncated second-order filter will be shown to be, provided a small correction is made in the discrete-time case, the correct form of the truncated second-order filter.
PDF (1754 Kb) DOI: 10.4173/mic.1980.3.3
DOI forward links to this article:
[1] Jens G. Balchen (1984), doi:10.4173/mic.1984.4.2 |
[2] A.C. Voorrips, A.W. Heemink and G.J. Komen (1999), doi:10.1016/S0924-7963(98)00094-3 |
[1] ANDRADE NETTO, M.L., GIMENO, L., MENDES, M.J. (0). Non-linear Filtering of Discrete Time Systems, Preprints 4th IFAC Symp. Identification and System Parameter Estimation, Tbilisi, USSR, pp. 319-328.
[2] BASS, R.D., NORUM, V.D., SCHWARTZ, L. (1966). Optimal Multichannel Non-linear Filtering, J. math. Analysis Applic., 16, 152-164.
[3] CARNEY, T.M., GOLDWYN, R.M. (1967). Numerical Experiments with Various Optimal Estimators, J. Optimiz. Theory Appl., 1, 113-130 doi:10.1007/BF00936649
[4] HENRIKSEN, R., OLSEN, T.O. (1977). Comparison of Different Parameter Estimation Methods in Flotation Processes, Preprints 4th IFAC Symposium Multivariable Technological Systems, Fredericton, N.B., Canada, pp. 463-468.
[5] HENRIKSEN, R. (1979). Non-linear Filtering in Econometric Models, Princeton University, Econometric Research Program, Princeton, New Jersey, Research Memorandum No. 240.
[6] JAZWINSKI, A.H. (1966). Filtering for Nonlinear Dynamical Systems, IEEE Trans. autom. Control, 11, 765-766 doi:10.1109/TAC.1966.1098431
[7] JAZWINSKI, A.H. (1966). Non-linear Filtering - Numerical Examples, NASA-Goddard Astrodynamics Conference, Greenbelt, Maryland; (1970), Stochastic Processes and Filtering Theory (Academic Press).
[8] KALMAN, R.E. (1960). A New Approach to Linear Filtering and Prediction Problems, J. bas. Engng, 82, 35-45.
[9] SCHWARTZ, L., STEAR, E.B. (1968). A Computational Comparison of Several Nonlinear Minimal Variance Filters, IEEE Trans. autom. Control, 13, 83-86 doi:10.1109/TAC.1968.1098800
BibTeX:
@article{MIC-1980-3-3,
title={{A correction of a common error in truncated second order nonlinear filters}},
author={Henriksen, Rolf},
journal={Modeling, Identification and Control},
volume={1},
number={3},
pages={187--193},
year={1980},
doi={10.4173/mic.1980.3.3},
publisher={Norwegian Society of Automatic Control}
};