Influence of the Selection of Reaction Curve’s Representative Points on the Accuracy of the Identified Fractional-Order Model
In this paper, a general procedure for identifying a fractional first-order plus dead-time (FFOPDT) model is presented. This procedure is based on fitting three arbitrary points on the process reaction curve, where process information is obtained from a simple open-loop test. A simplification of the...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/7185131 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832565766509035520 |
|---|---|
| author | Juan J. Gude Pablo García Bringas |
| author_facet | Juan J. Gude Pablo García Bringas |
| author_sort | Juan J. Gude |
| collection | DOAJ |
| description | In this paper, a general procedure for identifying a fractional first-order plus dead-time (FFOPDT) model is presented. This procedure is based on fitting three arbitrary points on the process reaction curve, where process information is obtained from a simple open-loop test. A simplification of the general identification procedure is also considered, where only points symmetrically located on the reaction curve are selected. The proposed symmetrical procedure has been applied to the following sets of representative points: (5–50–95%), (10–50–90%), (15–50–85%), (20–50–80%), (25–50–75%), and (30–50–70%). Analytical expressions of the corresponding FFOPDT model parameters for these sets of symmetrical points have been obtained. In order to show the effectiveness and applicability of this procedure for the identification of fractional-order models and to get insight into the influence of selection of the set of symmetrical points on the accuracy of the identified model, some numerical examples are proposed. This identification procedure gives good results in comparison with other integer- and fractional-order identification methods. Finally, some conclusions and final remarks are offered in this context. |
| format | Article |
| id | doaj-art-1ff8b11ff8204922a28e35814fbb3527 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-1ff8b11ff8204922a28e35814fbb35272025-02-03T01:06:37ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/7185131Influence of the Selection of Reaction Curve’s Representative Points on the Accuracy of the Identified Fractional-Order ModelJuan J. Gude0Pablo García Bringas1Department of ComputingDepartment of MechanicsIn this paper, a general procedure for identifying a fractional first-order plus dead-time (FFOPDT) model is presented. This procedure is based on fitting three arbitrary points on the process reaction curve, where process information is obtained from a simple open-loop test. A simplification of the general identification procedure is also considered, where only points symmetrically located on the reaction curve are selected. The proposed symmetrical procedure has been applied to the following sets of representative points: (5–50–95%), (10–50–90%), (15–50–85%), (20–50–80%), (25–50–75%), and (30–50–70%). Analytical expressions of the corresponding FFOPDT model parameters for these sets of symmetrical points have been obtained. In order to show the effectiveness and applicability of this procedure for the identification of fractional-order models and to get insight into the influence of selection of the set of symmetrical points on the accuracy of the identified model, some numerical examples are proposed. This identification procedure gives good results in comparison with other integer- and fractional-order identification methods. Finally, some conclusions and final remarks are offered in this context.http://dx.doi.org/10.1155/2022/7185131 |
| spellingShingle | Juan J. Gude Pablo García Bringas Influence of the Selection of Reaction Curve’s Representative Points on the Accuracy of the Identified Fractional-Order Model Journal of Mathematics |
| title | Influence of the Selection of Reaction Curve’s Representative Points on the Accuracy of the Identified Fractional-Order Model |
| title_full | Influence of the Selection of Reaction Curve’s Representative Points on the Accuracy of the Identified Fractional-Order Model |
| title_fullStr | Influence of the Selection of Reaction Curve’s Representative Points on the Accuracy of the Identified Fractional-Order Model |
| title_full_unstemmed | Influence of the Selection of Reaction Curve’s Representative Points on the Accuracy of the Identified Fractional-Order Model |
| title_short | Influence of the Selection of Reaction Curve’s Representative Points on the Accuracy of the Identified Fractional-Order Model |
| title_sort | influence of the selection of reaction curve s representative points on the accuracy of the identified fractional order model |
| url | http://dx.doi.org/10.1155/2022/7185131 |
| work_keys_str_mv | AT juanjgude influenceoftheselectionofreactioncurvesrepresentativepointsontheaccuracyoftheidentifiedfractionalordermodel AT pablogarciabringas influenceoftheselectionofreactioncurvesrepresentativepointsontheaccuracyoftheidentifiedfractionalordermodel |