Tuning and performance assessment of complex fractional-order PI controllers
In this paper, we propose an optimization-based tuning methodology for real and complex Fractional-Order Proportional-Integral (FOPI) controllers. The proposed approach hinges on a modified version of the Integral Absolute Error (IAE) sensitivity-constrained optimization problem, which is suitably a...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
2018
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| Online Access: | http://purl.org/au-research/grants/arc/DP160104994 http://hdl.handle.net/20.500.11937/70026 |
| _version_ | 1848762195852132352 |
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| author | Moghadam, M. Padula, Fabrizio Ntogramatzidis, Lorenzo |
| author_facet | Moghadam, M. Padula, Fabrizio Ntogramatzidis, Lorenzo |
| author_sort | Moghadam, M. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we propose an optimization-based tuning methodology for real and complex Fractional-Order Proportional-Integral (FOPI) controllers. The proposed approach hinges on a modified version of the Integral Absolute Error (IAE) sensitivity-constrained optimization problem, which is suitably adapted to the design of fractional controllers. As such, it allows the exploitation of the potentiality of the (possibly complex) fractional integrator. We also propose a method, based on the well-known CRONE approximation, which delivers a band-limited real-rational approximation of the real part of the complex-order integrator. Finally, based on a First-Order-Plus-Dead-Time (FOPDT) model of the process, we use our design and approximation techniques to find an optimal tuning for real, complex fractional-order, and integer PI controllers and we provide a quantitative performance assessment. |
| first_indexed | 2025-11-14T10:43:43Z |
| format | Journal Article |
| id | curtin-20.500.11937-70026 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:43:43Z |
| publishDate | 2018 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-700262022-10-27T06:48:40Z Tuning and performance assessment of complex fractional-order PI controllers Moghadam, M. Padula, Fabrizio Ntogramatzidis, Lorenzo In this paper, we propose an optimization-based tuning methodology for real and complex Fractional-Order Proportional-Integral (FOPI) controllers. The proposed approach hinges on a modified version of the Integral Absolute Error (IAE) sensitivity-constrained optimization problem, which is suitably adapted to the design of fractional controllers. As such, it allows the exploitation of the potentiality of the (possibly complex) fractional integrator. We also propose a method, based on the well-known CRONE approximation, which delivers a band-limited real-rational approximation of the real part of the complex-order integrator. Finally, based on a First-Order-Plus-Dead-Time (FOPDT) model of the process, we use our design and approximation techniques to find an optimal tuning for real, complex fractional-order, and integer PI controllers and we provide a quantitative performance assessment. 2018 Journal Article http://hdl.handle.net/20.500.11937/70026 10.1016/j.ifacol.2018.06.205 http://purl.org/au-research/grants/arc/DP160104994 restricted |
| spellingShingle | Moghadam, M. Padula, Fabrizio Ntogramatzidis, Lorenzo Tuning and performance assessment of complex fractional-order PI controllers |
| title | Tuning and performance assessment of complex fractional-order PI controllers |
| title_full | Tuning and performance assessment of complex fractional-order PI controllers |
| title_fullStr | Tuning and performance assessment of complex fractional-order PI controllers |
| title_full_unstemmed | Tuning and performance assessment of complex fractional-order PI controllers |
| title_short | Tuning and performance assessment of complex fractional-order PI controllers |
| title_sort | tuning and performance assessment of complex fractional-order pi controllers |
| url | http://purl.org/au-research/grants/arc/DP160104994 http://hdl.handle.net/20.500.11937/70026 |