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  • Recent results on positive polynomials are used to obtain a convex inner approximation of the stability domain in the space of coefficients of a polynomial. An application to the design of fixed/order controllers robustly stabilizing a linear system subject to polytopic uncertainty is then proposed, based on linear matrix inequality optimization. The key ingredient in the design procedure resides in the choice of the central polynomials. Several numerical examples illustrate the relevance mof tha approach.
  • Recent results on positive polynomials are used to obtain a convex inner approximation of the stability domain in the space of coefficients of a polynomial. An application to the design of fixed/order controllers robustly stabilizing a linear system subject to polytopic uncertainty is then proposed, based on linear matrix inequality optimization. The key ingredient in the design procedure resides in the choice of the central polynomials. Several numerical examples illustrate the relevance mof tha approach. (en)
Title
  • Positive polynomials and robust stabilization with fixed-order controllers.
  • Positive polynomials and robust stabilization with fixed-order controllers. (en)
skos:prefLabel
  • Positive polynomials and robust stabilization with fixed-order controllers.
  • Positive polynomials and robust stabilization with fixed-order controllers. (en)
skos:notation
  • RIV/67985556:_____/03:16030090!RIV/2004/AV0/A16004/N
http://linked.open.../vavai/riv/strany
  • 1178;1186
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA102/02/0709), P(LN00B096), P(ME 496), Z(AV0Z1075907)
http://linked.open...iv/cisloPeriodika
  • 7
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
  • Henrion, Didier
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 621809
http://linked.open...ai/riv/idVysledku
  • RIV/67985556:_____/03:16030090
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • fixed-order controllers; linear matrix inequality; polynomials, robust control (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [5A1F0C20A0E5]
http://linked.open...i/riv/nazevZdroje
  • IEEE Transactions on Automatic Control
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...ocetUcastnikuAkce
http://linked.open...nichUcastnikuAkce
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 48
http://linked.open...iv/tvurceVysledku
  • Henrion, Didier
  • Kučera, V.
  • Šebek, M.
http://linked.open...n/vavai/riv/zamer
issn
  • 0018-9286
number of pages
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