On the real, rational, bounded, unit interpolation problem in ℋ∞ and its applications to strong stabilization

Simple item page
buir.contributor.authorYücesoy, Veysel
buir.contributor.authorÖzbay, Hitay
dc.citation.epage483en_US
dc.citation.issueNumber2en_US
dc.citation.spage476en_US
dc.citation.volumeNumber41en_US
dc.contributor.authorYücesoy, Veyselen_US
dc.contributor.authorÖzbay, Hitayen_US
dc.date.accessioned2020-02-18T12:24:39Z
dc.date.available2020-02-18T12:24:39Z
dc.date.issued2019
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractOne of the most challenging problems in feedback control is strong stabilization, i.e. stabilization by a stable controller. This problem has been shown to be equivalent to finding a finite dimensional, real, rational and bounded unit in 𝐻∞ satisfying certain interpolation conditions. The problem is transformed into a classical Nevanlinna–Pick interpolation problem by using a predetermined structure for the unit interpolating function and analysed through the associated Pick matrix. Sufficient conditions for the existence of the bounded unit interpolating function are derived. Based on these conditions, an algorithm is proposed to compute the unit interpolating function through an optimal solution to the Nevanlinna–Pick problem. The conservatism caused by the sufficient conditions is illustrated through strong stabilization examples taken from the literature.en_US
dc.description.provenanceSubmitted by Evrim Ergin (eergin@bilkent.edu.tr) on 2020-02-18T12:24:39Z No. of bitstreams: 1 On_the_real_rational_bounded_unit_interpolation_problem_in_ℋ_∞_and_its_applications_to_strong_stabilization.pdf: 494534 bytes, checksum: 6c931c679931061f96b372a24c627aa2 (MD5)en
dc.description.provenanceMade available in DSpace on 2020-02-18T12:24:39Z (GMT). No. of bitstreams: 1 On_the_real_rational_bounded_unit_interpolation_problem_in_ℋ_∞_and_its_applications_to_strong_stabilization.pdf: 494534 bytes, checksum: 6c931c679931061f96b372a24c627aa2 (MD5) Previous issue date: 2019en
dc.identifier.doi10.1177/0142331218759598en_US
dc.identifier.eissn1477-0369
dc.identifier.issn0142-3312
dc.identifier.urihttp://hdl.handle.net/11693/53413
dc.language.isoEnglishen_US
dc.publisherSage Publicationsen_US
dc.relation.isversionofhttps://dx.doi.org/10.1177/0142331218759598en_US
dc.source.titleTransactions of the Institute of Measurement and Controlen_US
dc.subjectUnit interpolationen_US
dc.subjectRational interpolationen_US
dc.subjectStrong stabilizationen_US
dc.subjectStable controlleren_US
dc.titleOn the real, rational, bounded, unit interpolation problem in ℋ∞ and its applications to strong stabilizationen_US
dc.typeArticleen_US

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
On_the_real_rational_bounded_unit_interpolation_problem_in_ℋ_∞_and_its_applications_to_strong_stabilization.pdf
Size:
501.92 KB
Format:
Adobe Portable Document Format
Description:
Download

Collections

Scholarly Publications - Electrical and Electronics Engineering