Continuous Nonlinear State Prediction by Finite Volume Method on Logically Rectangular Grids

dc.contributor.authorMatoušek, Jakub
dc.contributor.authorBrandner, Marek
dc.contributor.authorDuník, Jindřich
dc.date.accessioned2023-01-30T11:00:26Z
dc.date.available2023-01-30T11:00:26Z
dc.date.issued2021
dc.description.abstract-translatedThis paper deals with the state estimation of the nonlinear stochastic models with continuous dynamics and discrete measurement. Namely, the numerical solution to the Fokker-Planck equation, representing the estimator time update, is explored. Unlike the classical approaches, which use the finite difference method and operate on a standard rectangular grid, this paper utilizes the finite volume method on the logically rectangular grid. In particular, the circular grid is chosen, which better approximates an estimated conditional probability density function support and improves time update accuracy without any impact on its computational complexity. The benefits of the solution are illustrated in a numerical example.en
dc.format6 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.citationMATOUŠEK, J. BRANDNER, M. DUNÍK, J. Continuous Nonlinear State Prediction by Finite Volume Method on Logically Rectangular Grids. In Proceedings of the 2021 IEEE 60th IEEE Conference on Decision and Control (CDC). Austin: IEEE, 2021. s. 5890-5895. ISBN: 978-1-66543-659-5 , ISSN: 0743-1546cs
dc.identifier.document-number781990305026
dc.identifier.doi10.1109/CDC45484.2021.9683293
dc.identifier.isbn978-1-66543-659-5
dc.identifier.issn0743-1546
dc.identifier.obd43933466
dc.identifier.uri2-s2.0-85126050495
dc.identifier.urihttp://hdl.handle.net/11025/51149
dc.language.isoenen
dc.project.IDSGS-2019-020/Rozvoj a využití kybernetických systémů identifikace, diagnostiky a řízení 4cs
dc.project.IDEF19_073/0016931/Zvyšování kvality interních grantových schémat na ZČUcs
dc.project.IDIDEG-IND-2021-002/Numerical Solution to the Fokker-Planck Equation for Navigation System Designcs
dc.publisherIEEE
dc.relation.ispartofseriesProceedings of the 2021 IEEE 60th IEEE Conference on Decision and Control (CDC)en
dc.rightsPlný text je přístupný v rámci univerzity přihlášeným uživatelům.cs
dc.rights© IEEEen
dc.rights.accessrestrictedAccessen
dc.subject.translatedState estimationen
dc.subject.translatedBayesian inferenceen
dc.subject.translatedNonlinear systemsen
dc.titleContinuous Nonlinear State Prediction by Finite Volume Method on Logically Rectangular Gridsen
dc.typekonferenční příspěvekcs
dc.typeConferenceObjecten
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen

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