In this note, we showhowto determine the set of stabilizing parameters of a proportional-integral-derivative controller for an integrator plus dead time process. In particular, by exploiting a version of the Hermite-Biehler theorem applicable to quasipolynomals, the admissible range of the proportional gain is computed first. Then, for each value of the proportional gain in that range, the set of stabilizing values of the integral and derivative gain are found. It is shown that the procedure is greatly simplified with respect to the case of a second-order integral process with dead time.

On the stabilizing PID controllers for integral processes

PADULA, Fabrizio;VISIOLI, Antonio
2012-01-01

Abstract

In this note, we showhowto determine the set of stabilizing parameters of a proportional-integral-derivative controller for an integrator plus dead time process. In particular, by exploiting a version of the Hermite-Biehler theorem applicable to quasipolynomals, the admissible range of the proportional gain is computed first. Then, for each value of the proportional gain in that range, the set of stabilizing values of the integral and derivative gain are found. It is shown that the procedure is greatly simplified with respect to the case of a second-order integral process with dead time.
File in questo prodotto:
File Dimensione Formato  
05983409.pdf

gestori archivio

Tipologia: Full Text
Licenza: DRM non definito
Dimensione 324.37 kB
Formato Adobe PDF
324.37 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11379/127935
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 31
  • ???jsp.display-item.citation.isi??? 27
social impact