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

doi:10.24846/v28i4y201902

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

Departamento de Ingeniería Mecánica y Eléctrica

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	381-390
Number of pages	10
Journal	Studies in Informatics and Control
Volume	28
Issue number	4
DOIs	https://doi.org/10.24846/v28i4y201902
Publication status	Published - 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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10.24846/v28i4y201902

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title = "Stabilizing high-order delayed systems with minimum-phase zeros using simple controllers",

abstract = "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.",

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AU - Vázquez Rosas, C. D.

AU - Márquez Rubio, J. F.

AU - del Muro Cuéllar, B.

AU - Novella Rodríguez, D. F.

AU - Sename, O.

AU - Dugard, L.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - 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.

AB - 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.

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

Abstract

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