Stabilizing high-order delayed systems with minimum-phase zeros using simple controllers

C. D. Vázquez Rosas*, J. F. Márquez Rubio, B. del Muro Cuéllar, D. F. Novella Rodríguez, O. Sename, L. Dugard

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


This paper analyses the stabilization and control of delayed processes systems containing minimum phase zeros. The high-order delayed process taken into consideration consists of: one unstable pole and m minimum phase zeros. Suffiient conditions are provided in order to guarantee the existence of a stabilizing basic controllers: Proportional (P), Integral (I) and Derivative (D), i.e., P, PI, PD and PID controllers. The frequency domain approach is used to proof the main results. Additionally an optimal H 8 tuning of the controller is proposed. The adequateness of the obtained results are tested by simulation through the implementation of a continuously stirred-tank reactor model.

Original languageEnglish
Pages (from-to)381-390
Number of pages10
JournalStudies in Informatics and Control
Issue number4
Publication statusPublished - 1 Jan 2019

Bibliographical note

Publisher Copyright:
© 2019 National Institute for R and D in Informatics.

All Science Journal Classification (ASJC) codes

  • General Computer Science
  • Electrical and Electronic Engineering


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