Stabilising PID tuning for a class of fourth-order integrating nonminimum-phase systems

© 2017 Informa UK Limited, trading as Taylor & Francis Group Fed-batch fermentation processes are commonly used in bioprocessing industry. A fed-batch fermentation process often exhibits integrating/unstable type of dynamics with multiple right-half plane zeros. A class of fourth-order integra...

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Main Authors: Seer, Q., Nandong, Jobrun
Format: Journal Article
Published: Taylor & Francis 2017
Online Access:http://hdl.handle.net/20.500.11937/72451
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author Seer, Q.
Nandong, Jobrun
author_facet Seer, Q.
Nandong, Jobrun
author_sort Seer, Q.
building Curtin Institutional Repository
collection Online Access
description © 2017 Informa UK Limited, trading as Taylor & Francis Group Fed-batch fermentation processes are commonly used in bioprocessing industry. A fed-batch fermentation process often exhibits integrating/unstable type of dynamics with multiple right-half plane zeros. A class of fourth-order integrating model can be used to adequately represent such a complex dynamics of the fed-batch fermentation process. In this paper, rigorous stability analysis of proportional-integral-derivative (PID) controller based on the Routh-Hurwitz criteria for the fourth-order integrating system is presented. A set of all stabilising PID controller parameter regions is established. Based on these stabilising regions, a general PID controller tuning procedure is proposed for the fourth-order integrating system with two right-half plane zeros. Numerical study shows that based on the proposed tuning procedure, a low-order PID controller can outperform a fifth-order optimal LQG controller in terms of servo and regulatory controls.
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spelling curtin-20.500.11937-724512018-12-13T09:31:55Z Stabilising PID tuning for a class of fourth-order integrating nonminimum-phase systems Seer, Q. Nandong, Jobrun © 2017 Informa UK Limited, trading as Taylor & Francis Group Fed-batch fermentation processes are commonly used in bioprocessing industry. A fed-batch fermentation process often exhibits integrating/unstable type of dynamics with multiple right-half plane zeros. A class of fourth-order integrating model can be used to adequately represent such a complex dynamics of the fed-batch fermentation process. In this paper, rigorous stability analysis of proportional-integral-derivative (PID) controller based on the Routh-Hurwitz criteria for the fourth-order integrating system is presented. A set of all stabilising PID controller parameter regions is established. Based on these stabilising regions, a general PID controller tuning procedure is proposed for the fourth-order integrating system with two right-half plane zeros. Numerical study shows that based on the proposed tuning procedure, a low-order PID controller can outperform a fifth-order optimal LQG controller in terms of servo and regulatory controls. 2017 Journal Article http://hdl.handle.net/20.500.11937/72451 10.1080/00207179.2017.1387289 Taylor & Francis restricted
spellingShingle Seer, Q.
Nandong, Jobrun
Stabilising PID tuning for a class of fourth-order integrating nonminimum-phase systems
title Stabilising PID tuning for a class of fourth-order integrating nonminimum-phase systems
title_full Stabilising PID tuning for a class of fourth-order integrating nonminimum-phase systems
title_fullStr Stabilising PID tuning for a class of fourth-order integrating nonminimum-phase systems
title_full_unstemmed Stabilising PID tuning for a class of fourth-order integrating nonminimum-phase systems
title_short Stabilising PID tuning for a class of fourth-order integrating nonminimum-phase systems
title_sort stabilising pid tuning for a class of fourth-order integrating nonminimum-phase systems
url http://hdl.handle.net/20.500.11937/72451