On the Accuracy of the One-step UKF and the Two-step UKF
| dc.contributor.author | Goel, Ankit | |
| dc.contributor.author | Bernstein, Dennis S. | |
| dc.date.accessioned | 2022-10-07T14:16:00Z | |
| dc.date.available | 2022-10-07T14:16:00Z | |
| dc.date.issued | 2022-08-18 | |
| dc.description.abstract | The most accurate version of the unscented Kalman filter (UKF) involves the construction of two ensembles. To reduce computational cost, however, UKF is often implemented without the second ensemble. This simplification comes at a price, however, since, for linear systems, the one-step variation of the two-step UKF does not specialize to the classical Kalman filter, with an associated loss of accuracy. This paper remedies this drawback by developing a modified one-step UKF that recovers the classical Kalman filter for linear systems. Numerical examples show that the modified one-step UKF also recovers the accuracy of the two-step UKF in nonlinear systems with linear outputs. | en_US |
| dc.description.uri | https://arxiv.org/abs/2208.09055 | en_US |
| dc.format.extent | 7 pages | en_US |
| dc.genre | journal articles | en_US |
| dc.genre | preprints | en_US |
| dc.identifier | doi:10.13016/m2btut-1r5s | |
| dc.identifier.uri | https://doi.org/10.48550/arXiv.2208.09055 | |
| dc.identifier.uri | http://hdl.handle.net/11603/26112 | |
| dc.language.iso | en_US | en_US |
| dc.relation.isAvailableAt | The University of Maryland, Baltimore County (UMBC) | |
| dc.relation.ispartof | UMBC Mechanical Engineering Department Collection | |
| dc.relation.ispartof | UMBC Faculty Collection | |
| dc.rights | This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author. | en_US |
| dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) | * |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
| dc.title | On the Accuracy of the One-step UKF and the Two-step UKF | en_US |
| dc.type | Text | en_US |
| dcterms.creator | https://orcid.org/0000-0002-4146-6275 | en_US |