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  • Není k dispozici (cs)
  • Nonsmooth variational analysis and related computational methods are powerful tools that can be effectively applied to identify local minimizers of nonconvex optimization problems arising in fixed-order controller design. We support this claim by applying nonsmooth analysis and methods to a challenging “Belgian chocolate” stabilization problem posed in 1994: find a stable, minimum phase, rational controller that stabilizes a specified second-order plant. Although easily stated, this particular problem remained unsolved until 2002, when a solution was found using an eleventh-order controller. Our computational methods find a stabilizing third-order controller without diffi- culty, suggesting explicit formulas for the controller and for the closed loop system, which has only one pole with multiplicity 5.
  • Nonsmooth variational analysis and related computational methods are powerful tools that can be effectively applied to identify local minimizers of nonconvex optimization problems arising in fixed-order controller design. We support this claim by applying nonsmooth analysis and methods to a challenging “Belgian chocolate” stabilization problem posed in 1994: find a stable, minimum phase, rational controller that stabilizes a specified second-order plant. Although easily stated, this particular problem remained unsolved until 2002, when a solution was found using an eleventh-order controller. Our computational methods find a stabilizing third-order controller without diffi- culty, suggesting explicit formulas for the controller and for the closed loop system, which has only one pole with multiplicity 5. (en)
Title
  • Stabilization via Nonsmooth, Nonconvex Optimization
  • Není k dispozici (cs)
  • Stabilization via Nonsmooth, Nonconvex Optimization (en)
skos:prefLabel
  • Stabilization via Nonsmooth, Nonconvex Optimization
  • Není k dispozici (cs)
  • Stabilization via Nonsmooth, Nonconvex Optimization (en)
skos:notation
  • RIV/68407700:21230/06:03122286!RIV07-GA0-21230___
http://linked.open.../vavai/riv/strany
  • 1760;1769
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA102/06/0652)
http://linked.open...iv/cisloPeriodika
  • 11
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  • 501187
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  • RIV/68407700:21230/06:03122286
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  • Fixed-order controller design; nonconvex optimization; nonsmooth optimization; polynomials; stability (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [CC8DD265A9A5]
http://linked.open...i/riv/nazevZdroje
  • IEEE Transactions on Automatic Control
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 51
http://linked.open...iv/tvurceVysledku
  • Henrion, Didier
  • Burke, J. V.
  • Lewis, A. S.
  • Overton, M. L.
issn
  • 0018-9286
number of pages
http://localhost/t...ganizacniJednotka
  • 21230
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