Ändra sökning
RefereraExporteraLänk till posten
Permanent länk

Direktlänk
Referera
Referensformat
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Annat format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annat språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf
Generalized entropy criterion for Nevanlinna-Pick interpolation with degree constraint
KTH, Tidigare Institutioner                               , Matematik.ORCID-id: 0000-0002-2681-8383
2001 (Engelska)Ingår i: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 46, nr 6, s. 822-839Artikel i tidskrift (Refereegranskat) Published
Abstract [en]

In this paper, we present a generalized entropy criterion for solving the rational Nevanlinna-Pick problem for n + 1 interpolating conditions and the degree of interpolants bounded by n, The primal problem of maximizing this entropy gain has a very well-behaved dual problem. This dual is a convex optimization problem in a finite-dimensional space and gives rise to an algorithm for finding all interpolants which are positive real and rational of degree at most n, The criterion requires a selection of a monic Schur polynomial of degree n, It follows that this class of monic polynomials completely parameterizes all such rational interpolants, and it therefore provides a set of design parameters for specifying such interpolants. The algorithm is implemented in state-space form and applied to several illustrative problems in systems and control, namely sensitivity minimization, maximal power transfer and spectral estimation.

Ort, förlag, år, upplaga, sidor
2001. Vol. 46, nr 6, s. 822-839
Nyckelord [en]
duality, entropy, interpolation, power transmission, robust control, spectral estimation, feedback stabilization, gain factor, uncertainty, realization, infinity, plants
Identifikatorer
URN: urn:nbn:se:kth:diva-20712ISI: 000169288100001OAI: oai:DiVA.org:kth-20712DiVA, id: diva2:339408
Anmärkning
QC 20100525Tillgänglig från: 2010-08-10 Skapad: 2010-08-10 Senast uppdaterad: 2017-12-12Bibliografiskt granskad

Open Access i DiVA

Fulltext saknas i DiVA

Personposter BETA

Lindquist, Anders

Sök vidare i DiVA

Av författaren/redaktören
Lindquist, Anders
Av organisationen
Matematik
I samma tidskrift
IEEE Transactions on Automatic Control

Sök vidare utanför DiVA

GoogleGoogle Scholar

urn-nbn

Altmetricpoäng

urn-nbn
Totalt: 28 träffar
RefereraExporteraLänk till posten
Permanent länk

Direktlänk
Referera
Referensformat
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Annat format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annat språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf