FOPI/FOPID Tuning Rule Based on a Fractional Order Model for the Process
This paper deals with the design of a control system based on fractional order models and fractional order proportional-integral-derivative (FOPID) controllers and fractional-order proportional-integral (FOPI) controllers. The controller design takes into account the trade-off between robustness and...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-08-01
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| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/6/9/478 |
| _version_ | 1797488248538267648 |
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| author | Helber Meneses Orlando Arrieta Fabrizio Padula Antonio Visioli Ramon Vilanova |
| author_facet | Helber Meneses Orlando Arrieta Fabrizio Padula Antonio Visioli Ramon Vilanova |
| author_sort | Helber Meneses |
| collection | DOAJ |
| description | This paper deals with the design of a control system based on fractional order models and fractional order proportional-integral-derivative (FOPID) controllers and fractional-order proportional-integral (FOPI) controllers. The controller design takes into account the trade-off between robustness and performance as well as the trade-off between the load disturbance rejection and set-point tracking tasks. The fractional order process model is able to represent an extensive range of dynamics, including over-damped and oscillatory behaviors and this simplifies the process modelling. The tuning of the FOPID and FOPI controllers is achieved by using an optimization, as a first step, and in a second step, several fitting functions were used to capture the behavior of the optimal parameters of the controllers. In this way, a new set of tuning rules called <i>FOMCoRoT</i> (<i>Fractional Order Model and Controllers Robust Tuning</i>) is obtained for both FOPID and FOPI controllers. Simulation examples show the effectiveness of the proposed control strategy based on fractional calculus. |
| first_indexed | 2024-03-09T23:59:18Z |
| format | Article |
| id | doaj.art-707253867e03431f9f7a425d9857fa21 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-09T23:59:18Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-707253867e03431f9f7a425d9857fa212023-11-23T16:19:18ZengMDPI AGFractal and Fractional2504-31102022-08-016947810.3390/fractalfract6090478FOPI/FOPID Tuning Rule Based on a Fractional Order Model for the ProcessHelber Meneses0Orlando Arrieta1Fabrizio Padula2Antonio Visioli3Ramon Vilanova4Instituto de Investigaciones en Ingeniería, Facultad de Ingeniería, Universidad de Costa Rica, San José 11501-2060, Costa RicaInstituto de Investigaciones en Ingeniería, Facultad de Ingeniería, Universidad de Costa Rica, San José 11501-2060, Costa RicaCurtin Centre for Optimisation and Decision Science, Curtin University, Bentley, WA 6102, AustraliaDipartimento di Ingegneria Meccanica e Industriale, Università degli Studi di Brescia, Via Branze 38, 25213 Brescia, ItalyDepartament de Telecomunicació i d’Enginyeria de Sistemes, Escola d’Enginyeria, Universitat Autònoma de Barcelona, Bellaterra, 08193 Barcelona, SpainThis paper deals with the design of a control system based on fractional order models and fractional order proportional-integral-derivative (FOPID) controllers and fractional-order proportional-integral (FOPI) controllers. The controller design takes into account the trade-off between robustness and performance as well as the trade-off between the load disturbance rejection and set-point tracking tasks. The fractional order process model is able to represent an extensive range of dynamics, including over-damped and oscillatory behaviors and this simplifies the process modelling. The tuning of the FOPID and FOPI controllers is achieved by using an optimization, as a first step, and in a second step, several fitting functions were used to capture the behavior of the optimal parameters of the controllers. In this way, a new set of tuning rules called <i>FOMCoRoT</i> (<i>Fractional Order Model and Controllers Robust Tuning</i>) is obtained for both FOPID and FOPI controllers. Simulation examples show the effectiveness of the proposed control strategy based on fractional calculus.https://www.mdpi.com/2504-3110/6/9/478PID controlfractional orderautomatic tuningperformance analysisrobustness |
| spellingShingle | Helber Meneses Orlando Arrieta Fabrizio Padula Antonio Visioli Ramon Vilanova FOPI/FOPID Tuning Rule Based on a Fractional Order Model for the Process Fractal and Fractional PID control fractional order automatic tuning performance analysis robustness |
| title | FOPI/FOPID Tuning Rule Based on a Fractional Order Model for the Process |
| title_full | FOPI/FOPID Tuning Rule Based on a Fractional Order Model for the Process |
| title_fullStr | FOPI/FOPID Tuning Rule Based on a Fractional Order Model for the Process |
| title_full_unstemmed | FOPI/FOPID Tuning Rule Based on a Fractional Order Model for the Process |
| title_short | FOPI/FOPID Tuning Rule Based on a Fractional Order Model for the Process |
| title_sort | fopi fopid tuning rule based on a fractional order model for the process |
| topic | PID control fractional order automatic tuning performance analysis robustness |
| url | https://www.mdpi.com/2504-3110/6/9/478 |
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