Discrete-Time Inverted Decoupling Internal Model Control of Multivariable Systems Based on Improved Fractional-Order Butterworth Filter

A novel discrete-time inverted decoupling internal model control (IMC) strategy is proposed for discrete-time multivariable systems with time-delays and RHP zeros. The strategy integrates an improved fractional-order Butterworth filter (FOBF) into the control framework. Key contributions include the...

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Main Authors: Kaiyue Liu, Shuke Lyu, Rui Wang, Chenkang Gao, Xiangyu Yang, Yongtao Liu
Format: Article
Language:English
Published: IEEE 2025-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/11124857/
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author Kaiyue Liu
Shuke Lyu
Rui Wang
Chenkang Gao
Xiangyu Yang
Yongtao Liu
author_facet Kaiyue Liu
Shuke Lyu
Rui Wang
Chenkang Gao
Xiangyu Yang
Yongtao Liu
author_sort Kaiyue Liu
collection DOAJ
description A novel discrete-time inverted decoupling internal model control (IMC) strategy is proposed for discrete-time multivariable systems with time-delays and RHP zeros. The strategy integrates an improved fractional-order Butterworth filter (FOBF) into the control framework. Key contributions include the design of a high-order improved FOBF by cascading stable fractional-order and integer-order filters, guaranteeing stability through W-plane mapping analysis, and developing an efficient direct discretization method based on frequency response matching. Simulation examples demonstrate the controller’s effectiveness in enhancing tracking performance and robustness against disturbances and model uncertainties.
format Article
id doaj-art-4d2a212e2e514eefaab2e147f387565f
institution Kabale University
issn 2169-3536
language English
publishDate 2025-01-01
publisher IEEE
record_format Article
series IEEE Access
spelling doaj-art-4d2a212e2e514eefaab2e147f387565f2025-08-25T23:18:16ZengIEEEIEEE Access2169-35362025-01-011314359114360510.1109/ACCESS.2025.359874011124857Discrete-Time Inverted Decoupling Internal Model Control of Multivariable Systems Based on Improved Fractional-Order Butterworth FilterKaiyue Liu0Shuke Lyu1https://orcid.org/0009-0002-3446-2118Rui Wang2https://orcid.org/0009-0003-2916-9387Chenkang Gao3https://orcid.org/0009-0007-0003-8980Xiangyu Yang4https://orcid.org/0009-0002-2307-1023Yongtao Liu5https://orcid.org/0000-0002-8404-9199School of Information and Control Engineering, North China Institute of Science and Technology, Beijing, ChinaSchool of Information and Control Engineering, North China Institute of Science and Technology, Beijing, ChinaSchool of Emergency Equipment, North China Institute of Science and Technology, Beijing, ChinaSchool of Information and Control Engineering, North China Institute of Science and Technology, Beijing, ChinaSchool of Information and Control Engineering, North China Institute of Science and Technology, Beijing, ChinaSchool of Information and Control Engineering, North China Institute of Science and Technology, Beijing, ChinaA novel discrete-time inverted decoupling internal model control (IMC) strategy is proposed for discrete-time multivariable systems with time-delays and RHP zeros. The strategy integrates an improved fractional-order Butterworth filter (FOBF) into the control framework. Key contributions include the design of a high-order improved FOBF by cascading stable fractional-order and integer-order filters, guaranteeing stability through W-plane mapping analysis, and developing an efficient direct discretization method based on frequency response matching. Simulation examples demonstrate the controller’s effectiveness in enhancing tracking performance and robustness against disturbances and model uncertainties.https://ieeexplore.ieee.org/document/11124857/Internal model controlbutterworth filterdiscrete-time controlinverted decouplingmultivariable systemprocess control
spellingShingle Kaiyue Liu
Shuke Lyu
Rui Wang
Chenkang Gao
Xiangyu Yang
Yongtao Liu
Discrete-Time Inverted Decoupling Internal Model Control of Multivariable Systems Based on Improved Fractional-Order Butterworth Filter
IEEE Access
Internal model control
butterworth filter
discrete-time control
inverted decoupling
multivariable system
process control
title Discrete-Time Inverted Decoupling Internal Model Control of Multivariable Systems Based on Improved Fractional-Order Butterworth Filter
title_full Discrete-Time Inverted Decoupling Internal Model Control of Multivariable Systems Based on Improved Fractional-Order Butterworth Filter
title_fullStr Discrete-Time Inverted Decoupling Internal Model Control of Multivariable Systems Based on Improved Fractional-Order Butterworth Filter
title_full_unstemmed Discrete-Time Inverted Decoupling Internal Model Control of Multivariable Systems Based on Improved Fractional-Order Butterworth Filter
title_short Discrete-Time Inverted Decoupling Internal Model Control of Multivariable Systems Based on Improved Fractional-Order Butterworth Filter
title_sort discrete time inverted decoupling internal model control of multivariable systems based on improved fractional order butterworth filter
topic Internal model control
butterworth filter
discrete-time control
inverted decoupling
multivariable system
process control
url https://ieeexplore.ieee.org/document/11124857/
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