PID for the stabilization of high-order unstable delayed systems with possible complex conjugate poles

Miguel A. Hernández-Pérez, Basilio Del Muro-Cuéllar, Martin Velasco-Villa

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

Copyright © 2015 Curtin University of Technology and John Wiley & Sons, Ltd. This work considers the stabilization problem of n-dimensional unstable linear systems with time delay, specifically with one unstable pole and n-1 stable poles, which could be complex conjugate. Necessary and sufficient conditions are stated to guarantee the stability of the system in closed loop with a P, PI, PD, or PID controller. The performance of the control strategies are evaluated by considering the linear approximation of an unstable continuously stirred tank reactor and a high-order academic system. © 2015 Curtin University of Technology and John Wiley & Sons, Ltd.
Original languageAmerican English
Pages (from-to)687-699
Number of pages617
JournalAsia-Pacific Journal of Chemical Engineering
DOIs
StatePublished - 1 Jan 2015

Fingerprint

Poles
stabilization
Stabilization
Linear systems
Time delay
Controllers
reactor

Cite this

@article{e905cadd41d44515801e1e01b168ffb4,
title = "PID for the stabilization of high-order unstable delayed systems with possible complex conjugate poles",
abstract = "Copyright {\circledC} 2015 Curtin University of Technology and John Wiley & Sons, Ltd. This work considers the stabilization problem of n-dimensional unstable linear systems with time delay, specifically with one unstable pole and n-1 stable poles, which could be complex conjugate. Necessary and sufficient conditions are stated to guarantee the stability of the system in closed loop with a P, PI, PD, or PID controller. The performance of the control strategies are evaluated by considering the linear approximation of an unstable continuously stirred tank reactor and a high-order academic system. {\circledC} 2015 Curtin University of Technology and John Wiley & Sons, Ltd.",
author = "Hern{\'a}ndez-P{\'e}rez, {Miguel A.} and {Del Muro-Cu{\'e}llar}, Basilio and Martin Velasco-Villa",
year = "2015",
month = "1",
day = "1",
doi = "10.1002/apj.1904",
language = "American English",
pages = "687--699",
journal = "Asia-Pacific Journal of Chemical Engineering",
issn = "1932-2135",
publisher = "Wiley-Blackwell",

}

PID for the stabilization of high-order unstable delayed systems with possible complex conjugate poles. / Hernández-Pérez, Miguel A.; Del Muro-Cuéllar, Basilio; Velasco-Villa, Martin.

In: Asia-Pacific Journal of Chemical Engineering, 01.01.2015, p. 687-699.

Research output: Contribution to journalArticle

TY - JOUR

T1 - PID for the stabilization of high-order unstable delayed systems with possible complex conjugate poles

AU - Hernández-Pérez, Miguel A.

AU - Del Muro-Cuéllar, Basilio

AU - Velasco-Villa, Martin

PY - 2015/1/1

Y1 - 2015/1/1

N2 - Copyright © 2015 Curtin University of Technology and John Wiley & Sons, Ltd. This work considers the stabilization problem of n-dimensional unstable linear systems with time delay, specifically with one unstable pole and n-1 stable poles, which could be complex conjugate. Necessary and sufficient conditions are stated to guarantee the stability of the system in closed loop with a P, PI, PD, or PID controller. The performance of the control strategies are evaluated by considering the linear approximation of an unstable continuously stirred tank reactor and a high-order academic system. © 2015 Curtin University of Technology and John Wiley & Sons, Ltd.

AB - Copyright © 2015 Curtin University of Technology and John Wiley & Sons, Ltd. This work considers the stabilization problem of n-dimensional unstable linear systems with time delay, specifically with one unstable pole and n-1 stable poles, which could be complex conjugate. Necessary and sufficient conditions are stated to guarantee the stability of the system in closed loop with a P, PI, PD, or PID controller. The performance of the control strategies are evaluated by considering the linear approximation of an unstable continuously stirred tank reactor and a high-order academic system. © 2015 Curtin University of Technology and John Wiley & Sons, Ltd.

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84944279645&origin=inward

UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=84944279645&origin=inward

U2 - 10.1002/apj.1904

DO - 10.1002/apj.1904

M3 - Article

SP - 687

EP - 699

JO - Asia-Pacific Journal of Chemical Engineering

JF - Asia-Pacific Journal of Chemical Engineering

SN - 1932-2135

ER -