Internal Model Control Design Based on Equal Order Fractional Butterworth Filter for Multivariable Systems
An internal model control with inverted decoupling (ID-IMC) controller design method based on equal fractional Butterworth (EFBW) filter is proposed for Multiple Input-Multiple Output (MIMO) systems with multiple time delays and Right Half Plane (RHP) zeros. There has been finite memory and limited...
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| Format: | Article |
| Language: | English |
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IEEE
2020-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9086817/ |
| _version_ | 1818917870231355392 |
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| author | Kaiyue Liu Juan Chen |
| author_facet | Kaiyue Liu Juan Chen |
| author_sort | Kaiyue Liu |
| collection | DOAJ |
| description | An internal model control with inverted decoupling (ID-IMC) controller design method based on equal fractional Butterworth (EFBW) filter is proposed for Multiple Input-Multiple Output (MIMO) systems with multiple time delays and Right Half Plane (RHP) zeros. There has been finite memory and limited flexibility for multivariable processes developed using a direct ID-IMC method. This paper presents a novel procedure to approximate Butterworth (BW) filters using fractional-order (FO) theories, so that the degree-of-freedom for tunable parameters is increased. The proposed ID-IMC controller cascaded with EFBW filter combines the computational simplicity of the ID-IMC structure with the greater flexibility of the EFBW filter, in conjunction with a better set-point tracking and disturbance rejection performance. Further, the stability analysis of the designed controller is given to ensure the stability of the closed-loop system. Dynamic performance indicators and sensitivity functions are carried out for the time domain and robustness analysis. Two illustrative examples are presented to show the merits of the proposed method. |
| first_indexed | 2024-12-20T00:40:56Z |
| format | Article |
| id | doaj.art-cb9b8980f14c4af6af73e7ff844cc773 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-20T00:40:56Z |
| publishDate | 2020-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-cb9b8980f14c4af6af73e7ff844cc7732022-12-21T19:59:37ZengIEEEIEEE Access2169-35362020-01-018846678467910.1109/ACCESS.2020.29925989086817Internal Model Control Design Based on Equal Order Fractional Butterworth Filter for Multivariable SystemsKaiyue Liu0https://orcid.org/0000-0003-4586-6628Juan Chen1College of Information Science and Technology, Beijing University of Chemical Technology, Beijing, ChinaCollege of Information Science and Technology, Beijing University of Chemical Technology, Beijing, ChinaAn internal model control with inverted decoupling (ID-IMC) controller design method based on equal fractional Butterworth (EFBW) filter is proposed for Multiple Input-Multiple Output (MIMO) systems with multiple time delays and Right Half Plane (RHP) zeros. There has been finite memory and limited flexibility for multivariable processes developed using a direct ID-IMC method. This paper presents a novel procedure to approximate Butterworth (BW) filters using fractional-order (FO) theories, so that the degree-of-freedom for tunable parameters is increased. The proposed ID-IMC controller cascaded with EFBW filter combines the computational simplicity of the ID-IMC structure with the greater flexibility of the EFBW filter, in conjunction with a better set-point tracking and disturbance rejection performance. Further, the stability analysis of the designed controller is given to ensure the stability of the closed-loop system. Dynamic performance indicators and sensitivity functions are carried out for the time domain and robustness analysis. Two illustrative examples are presented to show the merits of the proposed method.https://ieeexplore.ieee.org/document/9086817/Butterworth filterfractional order systeminternal model controlMIMO systems |
| spellingShingle | Kaiyue Liu Juan Chen Internal Model Control Design Based on Equal Order Fractional Butterworth Filter for Multivariable Systems IEEE Access Butterworth filter fractional order system internal model control MIMO systems |
| title | Internal Model Control Design Based on Equal Order Fractional Butterworth Filter for Multivariable Systems |
| title_full | Internal Model Control Design Based on Equal Order Fractional Butterworth Filter for Multivariable Systems |
| title_fullStr | Internal Model Control Design Based on Equal Order Fractional Butterworth Filter for Multivariable Systems |
| title_full_unstemmed | Internal Model Control Design Based on Equal Order Fractional Butterworth Filter for Multivariable Systems |
| title_short | Internal Model Control Design Based on Equal Order Fractional Butterworth Filter for Multivariable Systems |
| title_sort | internal model control design based on equal order fractional butterworth filter for multivariable systems |
| topic | Butterworth filter fractional order system internal model control MIMO systems |
| url | https://ieeexplore.ieee.org/document/9086817/ |
| work_keys_str_mv | AT kaiyueliu internalmodelcontroldesignbasedonequalorderfractionalbutterworthfilterformultivariablesystems AT juanchen internalmodelcontroldesignbasedonequalorderfractionalbutterworthfilterformultivariablesystems |