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  • A specific issue of the PID control loop with time delay is the contradiction of its infinite-order dynamics with the only three controller parameters used to adjusting its behaviour. For selecting the optimum PID parameters the IAE criterion has been used as performance measure of the disturbance rejection in the investigated control loop. In order to obtain the results in a generic form the dimensionless description of the control loop, originally introduced in [14], was applied. The plant model is based on the dimensional analysis, reducing the relevant parameters of the control loop to a pair of similarity numbers, namely the so-called laggardness (ϑ ) and swingability (λ ) numbers. The IAE optimum search is performed by means of the gradientbased method over a representative set of options of λ , ϑ , and the optimum PID controller parameters are assessed for the whole considered area of λ ,ϑ . To each of the optimum rejection responses a characteristic quasi-polynomial corresponds and then the rightmost part of its spectrum can be evaluated. The large scale spectral analysis has shown that for all of the investigated options a double pair group of poles results as dominant in the control loop dynamics. The final result of the paper consists in summarizing the IAE optimum settings of PID and comparing the obtained natural frequency angles of the control responses and their damping.
  • A specific issue of the PID control loop with time delay is the contradiction of its infinite-order dynamics with the only three controller parameters used to adjusting its behaviour. For selecting the optimum PID parameters the IAE criterion has been used as performance measure of the disturbance rejection in the investigated control loop. In order to obtain the results in a generic form the dimensionless description of the control loop, originally introduced in [14], was applied. The plant model is based on the dimensional analysis, reducing the relevant parameters of the control loop to a pair of similarity numbers, namely the so-called laggardness (ϑ ) and swingability (λ ) numbers. The IAE optimum search is performed by means of the gradientbased method over a representative set of options of λ , ϑ , and the optimum PID controller parameters are assessed for the whole considered area of λ ,ϑ . To each of the optimum rejection responses a characteristic quasi-polynomial corresponds and then the rightmost part of its spectrum can be evaluated. The large scale spectral analysis has shown that for all of the investigated options a double pair group of poles results as dominant in the control loop dynamics. The final result of the paper consists in summarizing the IAE optimum settings of PID and comparing the obtained natural frequency angles of the control responses and their damping. (en)
Title
  • IAE OPTIMIZATION OF DELAYED PID CONTROL LOOPS USING DIMENSIONAL ANALYSIS APPROACH
  • IAE OPTIMIZATION OF DELAYED PID CONTROL LOOPS USING DIMENSIONAL ANALYSIS APPROACH (en)
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  • IAE OPTIMIZATION OF DELAYED PID CONTROL LOOPS USING DIMENSIONAL ANALYSIS APPROACH
  • IAE OPTIMIZATION OF DELAYED PID CONTROL LOOPS USING DIMENSIONAL ANALYSIS APPROACH (en)
skos:notation
  • RIV/68407700:21230/14:00223487!RIV15-TA0-21230___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(TE01020197)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...iv/duvernostUdaju
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  • 20194
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21230/14:00223487
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • IAE; PID; dimensional analysis; dominant poles; disturbance rejection (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [9B590CC885F3]
http://linked.open...v/mistoKonaniAkce
  • Athény
http://linked.open...i/riv/mistoVydani
  • Patras
http://linked.open...i/riv/nazevZdroje
  • Proceedings of the 6th International Symposium on Communications, Control and Signal Processing
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http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Kučera, Vladimír
  • Zítek, Pavel
  • Fišer, Jaromír
http://linked.open...vavai/riv/typAkce
http://linked.open...ain/vavai/riv/wos
  • 000346443500064
http://linked.open.../riv/zahajeniAkce
number of pages
http://bibframe.org/vocab/doi
  • 10.1109/ISCCSP.2014.6877864
http://purl.org/ne...btex#hasPublisher
  • University of Patras
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  • 978-1-4799-2890-3
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  • 21230
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