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Sensitivity shaping for systems with time delay by Nevanlinna-Pick interpolation
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2007 (English)In: PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, 2007, 2821-2825 p.Conference paper, Published paper (Refereed)
Abstract [en]

It was pointed out by Foias, Tannenbaum and Zames that the unweighted H-infinity sensitivity optimization for systems with time delay can be formulated as a finite dimensional Nevanlinna-Pick interpolation. The purpose of this paper is to consider this formulation. The synthesis of the controller and the shaping of sensitivity function are carried out by the theory of Nevanlinna-Pick interpolation with degree constraint. It turns out that the controller has a structure of the Smith predictor. The finite impulse response system is only determined by non-minimum phase zeros and unstable poles of the plant.

Place, publisher, year, edition, pages
2007. 2821-2825 p.
Series
Proceedings of the IEEE Conference on Decision and Control, ISSN 0191-2216
Keyword [en]
Constraint theory, Interpolation, Optimization, Time delay, Finite impulse response system, Nevanlinna Pick interpolation, Sensitivity functions
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-8736DOI: 10.1109/CDC.2007.4434668ISI: 000255181702060Scopus ID: 2-s2.0-62749180882ISBN: 978-1-4244-1497-0 (print)OAI: oai:DiVA.org:kth-8736DiVA: diva2:14138
Conference
46th IEEE Conference on Decision and Control, New Orleans, LA, DEC 12-14, 2007
Note
QC 20101116Available from: 2008-06-11 Created: 2008-06-11 Last updated: 2010-11-16Bibliographically approved
In thesis
1. Sensitivity Shaping under Degree Constraint: Nevanlinna-Pick Interpolation for Multivarible and Time-Delay Systems
Open this publication in new window or tab >>Sensitivity Shaping under Degree Constraint: Nevanlinna-Pick Interpolation for Multivarible and Time-Delay Systems
2008 (English)Licentiate thesis, comprehensive summary (Other scientific)
Place, publisher, year, edition, pages
Stockholm: KTH, 2008. 3 p.
Series
Trita-MAT. OS, ISSN 1401-2294 ; 08:05
National Category
Computational Mathematics
Identifiers
urn:nbn:se:kth:diva-4821 (URN)
Presentation
2008-06-13, 3733, KTH Matematik, Lindstedtsvägen 25, Stockholm, 15:15
Opponent
Supervisors
Note
QC 20101116Available from: 2008-06-11 Created: 2008-06-11 Last updated: 2010-11-16Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
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More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
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