On the stabilizing PID controllers for integral processes
In this note, we show how to determine the set of stabilizing parameters of a proportional-integral-derivative controller for an integrator plus dead time process. In particular, by exploiting a version of the Hermite-Biehler theorem applicable to quasipolynomals, the admissible range of the proport...
| Main Authors: | , |
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| Format: | Journal Article |
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Institute of Electrical and Electronics Engineers
2012
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| Online Access: | http://hdl.handle.net/20.500.11937/52155 |
| _version_ | 1848758859116576768 |
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| author | Padula, Fabrizio Visioli, A. |
| author_facet | Padula, Fabrizio Visioli, A. |
| author_sort | Padula, Fabrizio |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this note, we show how to determine the set of stabilizing parameters of a proportional-integral-derivative controller for an integrator plus dead time process. In particular, by exploiting a version of the Hermite-Biehler theorem applicable to quasipolynomals, the admissible range of the proportional gain is computed first. Then, for each value of the proportional gain in that range, the set of stabilizing values of the integral and derivative gain are found. It is shown that the procedure is greatly simplified with respect to the case of a second-order integral process with dead time. © 2011 IEEE. |
| first_indexed | 2025-11-14T09:50:41Z |
| format | Journal Article |
| id | curtin-20.500.11937-52155 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:50:41Z |
| publishDate | 2012 |
| publisher | Institute of Electrical and Electronics Engineers |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-521552017-09-13T15:40:03Z On the stabilizing PID controllers for integral processes Padula, Fabrizio Visioli, A. In this note, we show how to determine the set of stabilizing parameters of a proportional-integral-derivative controller for an integrator plus dead time process. In particular, by exploiting a version of the Hermite-Biehler theorem applicable to quasipolynomals, the admissible range of the proportional gain is computed first. Then, for each value of the proportional gain in that range, the set of stabilizing values of the integral and derivative gain are found. It is shown that the procedure is greatly simplified with respect to the case of a second-order integral process with dead time. © 2011 IEEE. 2012 Journal Article http://hdl.handle.net/20.500.11937/52155 10.1109/TAC.2011.2164821 Institute of Electrical and Electronics Engineers restricted |
| spellingShingle | Padula, Fabrizio Visioli, A. On the stabilizing PID controllers for integral processes |
| title | On the stabilizing PID controllers for integral processes |
| title_full | On the stabilizing PID controllers for integral processes |
| title_fullStr | On the stabilizing PID controllers for integral processes |
| title_full_unstemmed | On the stabilizing PID controllers for integral processes |
| title_short | On the stabilizing PID controllers for integral processes |
| title_sort | on the stabilizing pid controllers for integral processes |
| url | http://hdl.handle.net/20.500.11937/52155 |