Show simple item record

dc.contributor.authorKishida, Masako
dc.contributor.authorBraatz, Richard D
dc.date.accessioned2016-10-21T17:19:21Z
dc.date.available2016-10-21T17:19:21Z
dc.date.issued2014-03
dc.date.submitted2013-06
dc.identifier.issn1389-4420
dc.identifier.issn1573-2924
dc.identifier.urihttp://hdl.handle.net/1721.1/104910
dc.description.abstractComputation of exact ellipsoidal bounds on the state trajectories of discrete-time linear systems that have time-varying or time-invariant linear fractional parameter uncertainties and ellipsoidal uncertainty in the initial state is known to be NP-hard. This paper proposes three algorithms to compute ellipsoidal bounds on such a state trajectory set and discusses the tradeoffs between computational complexity and conservatism of the algorithms. The approach employs linear matrix inequalities to determine an initial estimate of the ellipsoid that is refined by the subsequent application of the skewed structured singular value ν. Numerical examples are used to illustrate the application of the proposed algorithms and to compare the differences between them, where small conservatism for the tightest bounds is observed.en_US
dc.description.sponsorshipInstitute for Advanced Computing Applications and Technologiesen_US
dc.publisherSpringer USen_US
dc.relation.isversionofhttp://dx.doi.org/10.1007/s11081-014-9255-9en_US
dc.rightsCreative Commons Attribution-Noncommercial-Share Alikeen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/en_US
dc.sourceSpringer USen_US
dc.titleEllipsoidal bounds on state trajectories for discrete-time systems with linear fractional uncertaintiesen_US
dc.typeArticleen_US
dc.identifier.citationKishida, Masako, and Richard D. Braatz. “Ellipsoidal Bounds on State Trajectories for Discrete-Time Systems with Linear Fractional Uncertainties.” Optimization and Engineering 16.4 (2015): 695–711.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Chemical Engineeringen_US
dc.contributor.mitauthorBraatz, Richard D
dc.relation.journalOptimization and Engineeringen_US
dc.eprint.versionAuthor's final manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dc.date.updated2016-08-18T15:44:57Z
dc.language.rfc3066en
dc.rights.holderSpringer Science+Business Media New York
dspace.orderedauthorsKishida, Masako; Braatz, Richard D.en_US
dspace.embargo.termsNen
dc.identifier.orcidhttps://orcid.org/0000-0003-4304-3484
mit.licenseOPEN_ACCESS_POLICYen_US
mit.metadata.statusComplete


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record