Optimal state filtering and parameter identification for linear time-delay systems

dc.contributor.authorBasin, M.
dc.contributor.authorShi, P.
dc.contributor.authorCalderon-Alvarez, D.
dc.contributor.conference2008 American Control Conference (ACC) (11 Jun 2008 - 13 Jun 2008 : Seattle, WA)
dc.date.issued2008
dc.description.abstractThis paper presents the optimal joint state filtering and parameter identification problem for linear stochastic timedelay systems with unknown parameters. The original identification problem is reduced to the optimal filtering problem for incompletely measured polynomial (bilinear) time-delay system states over linear observations with an arbitrary, not necessarily invertible, observation matrix, where the unknown parameters are considered standard Wiener processes and incorporated as additional states in the extended state vector. The obtained solution is based on the designed optimal filter for incompletely measured bilinear time-delay states over linear observations, taking into account that the optimal filter for the extended state vector also serves as the optimal identifier for the unknown parameters. In the example, performance of the designed optimal state filter and parameter identifier is verified for a linear time-delay system with an unknown multiplicative parameter over linear observations. Both, stable and unstable, linear systems are examined.
dc.description.statementofresponsibilityMichael Basin, Peng Shi, Dario Calderon-Alvarez
dc.identifier.citationProceedings of the ... American Control Conference. American Control Conference, 2008, pp.7-12
dc.identifier.doi10.1109/ACC.2008.4586457
dc.identifier.isbn9781424420797
dc.identifier.issn0743-1619
dc.identifier.issn2378-5861
dc.identifier.orcidShi, P. [0000-0001-6295-0405] [0000-0001-8218-586X] [0000-0002-0864-552X] [0000-0002-1358-2367] [0000-0002-5312-5435]
dc.identifier.urihttp://hdl.handle.net/2440/84668
dc.language.isoen
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)
dc.publisher.placeUSA
dc.relation.ispartofseriesProceedings of the American Control Conference
dc.rights© 2008 AACC
dc.source.urihttps://doi.org/10.1109/acc.2008.4586457
dc.titleOptimal state filtering and parameter identification for linear time-delay systems
dc.typeConference paper
pubs.publication-statusPublished

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