The generalised isodamping approach for robust fractional PID controllers design
© 2015 Taylor & FrancisIn this paper, we present a novel methodology to design fractional-order proportional-integral-derivative controllers. Based on the description of the controlled system by means of a family of linear models parameterised with respect to a free variable that describes the r...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Taylor & Francis
2015
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| Online Access: | http://hdl.handle.net/20.500.11937/52175 |
| _version_ | 1848758864310173696 |
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| author | Beschi, M. Padula, Fabrizio Visioli, A. |
| author_facet | Beschi, M. Padula, Fabrizio Visioli, A. |
| author_sort | Beschi, M. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2015 Taylor & FrancisIn this paper, we present a novel methodology to design fractional-order proportional-integral-derivative controllers. Based on the description of the controlled system by means of a family of linear models parameterised with respect to a free variable that describes the real process operating point, we design the controller by solving a constrained min–max optimisation problem where the maximum sensitivity has to be minimised. Among the imposed constraints, the most important one is the new generalised isodamping condition, that defines the invariancy of the phase margin with respect to the free parameter variations. It is also shown that the well-known classical isodamping condition is a special case of the new technique proposed in this paper. Simulation results show the effectiveness of the proposed technique and the superiority of the fractional-order controller compared to its integer counterpart. |
| first_indexed | 2025-11-14T09:50:46Z |
| format | Journal Article |
| id | curtin-20.500.11937-52175 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:50:46Z |
| publishDate | 2015 |
| publisher | Taylor & Francis |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-521752017-09-13T15:40:02Z The generalised isodamping approach for robust fractional PID controllers design Beschi, M. Padula, Fabrizio Visioli, A. © 2015 Taylor & FrancisIn this paper, we present a novel methodology to design fractional-order proportional-integral-derivative controllers. Based on the description of the controlled system by means of a family of linear models parameterised with respect to a free variable that describes the real process operating point, we design the controller by solving a constrained min–max optimisation problem where the maximum sensitivity has to be minimised. Among the imposed constraints, the most important one is the new generalised isodamping condition, that defines the invariancy of the phase margin with respect to the free parameter variations. It is also shown that the well-known classical isodamping condition is a special case of the new technique proposed in this paper. Simulation results show the effectiveness of the proposed technique and the superiority of the fractional-order controller compared to its integer counterpart. 2015 Journal Article http://hdl.handle.net/20.500.11937/52175 10.1080/00207179.2015.1099076 Taylor & Francis restricted |
| spellingShingle | Beschi, M. Padula, Fabrizio Visioli, A. The generalised isodamping approach for robust fractional PID controllers design |
| title | The generalised isodamping approach for robust fractional PID controllers design |
| title_full | The generalised isodamping approach for robust fractional PID controllers design |
| title_fullStr | The generalised isodamping approach for robust fractional PID controllers design |
| title_full_unstemmed | The generalised isodamping approach for robust fractional PID controllers design |
| title_short | The generalised isodamping approach for robust fractional PID controllers design |
| title_sort | generalised isodamping approach for robust fractional pid controllers design |
| url | http://hdl.handle.net/20.500.11937/52175 |