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  • The main purpose of this contribution is to present a nontraditional, innovative approach of controller design for first order linear systems with parametric uncertainty. A special task to find a fixed PI controller stabilizing simultaneously stable and unstable controlled system is solved. So, the control task is aimed to a class of robust control principles. The controller design is performed in the ring of proper and stable rational functions by means of algebraic tools. A set of stabilizing controllers are given by a solution of Diophantine equation in this ring. This approach offers a scalar positive parameter which influences stability and behavior of the proposed closed loop system. The methodology is illustrated by an example and a stability analysis is outlined. Simulations are performed in the Matlab environment.
  • The main purpose of this contribution is to present a nontraditional, innovative approach of controller design for first order linear systems with parametric uncertainty. A special task to find a fixed PI controller stabilizing simultaneously stable and unstable controlled system is solved. So, the control task is aimed to a class of robust control principles. The controller design is performed in the ring of proper and stable rational functions by means of algebraic tools. A set of stabilizing controllers are given by a solution of Diophantine equation in this ring. This approach offers a scalar positive parameter which influences stability and behavior of the proposed closed loop system. The methodology is illustrated by an example and a stability analysis is outlined. Simulations are performed in the Matlab environment. (en)
Title
  • Robust design for PI controllers – an algebraic approach
  • Robust design for PI controllers – an algebraic approach (en)
skos:prefLabel
  • Robust design for PI controllers – an algebraic approach
  • Robust design for PI controllers – an algebraic approach (en)
skos:notation
  • RIV/70883521:28140/11:43866473!RIV13-MSM-28140___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(ED2.1.00/03.0089), S
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 227300
http://linked.open...ai/riv/idVysledku
  • RIV/70883521:28140/11:43866473
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Controller design, PI controller, algebraic approach, Diophantine equations, parametric uncertainty (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [5E138B59E9B5]
http://linked.open...v/mistoKonaniAkce
  • Vienna
http://linked.open...i/riv/mistoVydani
  • Vienna
http://linked.open...i/riv/nazevZdroje
  • Annals of DAAAM for 2011 & Proceedings of the 22nd International DAAAM Symposium %22Intelligent Manufacturing & Automation: Power of Knowledge and Creativity%22
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Prokop, Roman
  • Surýnek, Tomáš
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
issn
  • 1726-9679
number of pages
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  • DAAAM International Vienna
https://schema.org/isbn
  • 978-3-901509-83-4
http://localhost/t...ganizacniJednotka
  • 28140
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