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  • The paper brings a simple principle for design and tuning of SISO controllers used in auto-tuning schemes. Autotuners represent a combination of relay feedback identification and some control design procedure. First and second order models with up to three parameters are estimated by means of a single asymmetrical relay experiment. Then a stable low order transfer function is identified. Subsequently, the controller is analytically derived from gen-eral solutions of Diophantine equations in the ring of proper and stable rational functions RPS. This approach enables to define a scalar positive parameter through a pole-placement root of the characteristic closed loop equation. A first order identification yields a PI-like controllers while a second order identification generates PID ones. The analytical simple rule is derived for aperiodic control response and the scalar tuning parameter m>0 is then tuned according to identified time constant of an approximated transfer function
  • The paper brings a simple principle for design and tuning of SISO controllers used in auto-tuning schemes. Autotuners represent a combination of relay feedback identification and some control design procedure. First and second order models with up to three parameters are estimated by means of a single asymmetrical relay experiment. Then a stable low order transfer function is identified. Subsequently, the controller is analytically derived from gen-eral solutions of Diophantine equations in the ring of proper and stable rational functions RPS. This approach enables to define a scalar positive parameter through a pole-placement root of the characteristic closed loop equation. A first order identification yields a PI-like controllers while a second order identification generates PID ones. The analytical simple rule is derived for aperiodic control response and the scalar tuning parameter m>0 is then tuned according to identified time constant of an approximated transfer function (en)
Title
  • Autotuning Principles Based on Algebraic Methods
  • Autotuning Principles Based on Algebraic Methods (en)
skos:prefLabel
  • Autotuning Principles Based on Algebraic Methods
  • Autotuning Principles Based on Algebraic Methods (en)
skos:notation
  • RIV/70883521:28140/12:43868611!RIV13-MSM-28140___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
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  • P(ED2.1.00/03.0089)
http://linked.open...iv/cisloPeriodika
  • 5
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 124292
http://linked.open...ai/riv/idVysledku
  • RIV/70883521:28140/12:43868611
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  • Autotuning, Relay experiment, Algebraic control design, Pole-placement problem. (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • SK - Slovenská republika
http://linked.open...ontrolniKodProRIV
  • [0D5377BAE70E]
http://linked.open...i/riv/nazevZdroje
  • Strojárstvo extra
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 16
http://linked.open...iv/tvurceVysledku
  • Korbel, Jiří
  • Prokop, Roman
  • Matýsek, Miroslav
issn
  • 1335-2938
number of pages
http://localhost/t...ganizacniJednotka
  • 28140
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