Type-2 fuzzy self-tuning of modified fractional-order PID based on Takagi–Sugeno method
Abstract In this paper, Takagi–Sugeno (TS) fuzzy technique is combined with interval type-2 fuzzy sets (IT2-FSs) to design a new adaptive self-tuning fractional-order PID (FOPID) controller. TS fuzzy technique is used to construct a modified FOPID controller (TSMFOPID). IT2-FSs are used as a tuner f...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-01-01
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| Series: | Journal of Electrical Systems and Information Technology |
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| Online Access: | https://doi.org/10.1186/s43067-019-0009-9 |
| _version_ | 1828932159869550592 |
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| author | M. A. Abdel Ghany M. E. Bahgat W. M. Refaey Soliman Sharaf |
| author_facet | M. A. Abdel Ghany M. E. Bahgat W. M. Refaey Soliman Sharaf |
| author_sort | M. A. Abdel Ghany |
| collection | DOAJ |
| description | Abstract In this paper, Takagi–Sugeno (TS) fuzzy technique is combined with interval type-2 fuzzy sets (IT2-FSs) to design a new adaptive self-tuning fractional-order PID (FOPID) controller. TS fuzzy technique is used to construct a modified FOPID controller (TSMFOPID). IT2-FSs are used as a tuner for TSMFOPID to update their gains under parameter uncertainty change and to compensate the controlled system undesired effects of the sudden disturbances. Three types of IT2-FSs tuning methods are used for TSMFOPID. The first one is to tune the proportional–integral–derivative gains of the TSMFOPID. The second one deals with tuning the fractional orders of integral and derivative effects. The last one tunes the five parameters of the TSMFOPID. The responses of the fractional orders of the integral and derivative actions on the controlled system driven by TSMFOPID are given and discussed. The three tuning methods via IT2FST for TSMFOPID controller are applied to load frequency control as a case study of a power system comprising a single area. Comparative studies of the tuning type-1 fuzzy sets (T1FSTs) and IT2FST methods for controlled system using TSMFOPID are carried out and the results are discussed. The results prove that the proposed IT2FST for TSMFOPID controller is very useful for considered application over disturbance changes and parameter uncertainties. |
| first_indexed | 2024-12-14T00:57:54Z |
| format | Article |
| id | doaj.art-9b3f3692e8354f97a3a3a95120904f59 |
| institution | Directory Open Access Journal |
| issn | 2314-7172 |
| language | English |
| last_indexed | 2024-12-14T00:57:54Z |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Electrical Systems and Information Technology |
| spelling | doaj.art-9b3f3692e8354f97a3a3a95120904f592022-12-21T23:23:27ZengSpringerOpenJournal of Electrical Systems and Information Technology2314-71722020-01-017112010.1186/s43067-019-0009-9Type-2 fuzzy self-tuning of modified fractional-order PID based on Takagi–Sugeno methodM. A. Abdel Ghany0M. E. Bahgat1W. M. Refaey2Soliman Sharaf3Department of Electrical Engineering, Faculty of Engineering, October 6 UniversityFaculty of Engineering, University of HelwanFaculty of Engineering, University of HelwanFaculty of Engineering, University of HelwanAbstract In this paper, Takagi–Sugeno (TS) fuzzy technique is combined with interval type-2 fuzzy sets (IT2-FSs) to design a new adaptive self-tuning fractional-order PID (FOPID) controller. TS fuzzy technique is used to construct a modified FOPID controller (TSMFOPID). IT2-FSs are used as a tuner for TSMFOPID to update their gains under parameter uncertainty change and to compensate the controlled system undesired effects of the sudden disturbances. Three types of IT2-FSs tuning methods are used for TSMFOPID. The first one is to tune the proportional–integral–derivative gains of the TSMFOPID. The second one deals with tuning the fractional orders of integral and derivative effects. The last one tunes the five parameters of the TSMFOPID. The responses of the fractional orders of the integral and derivative actions on the controlled system driven by TSMFOPID are given and discussed. The three tuning methods via IT2FST for TSMFOPID controller are applied to load frequency control as a case study of a power system comprising a single area. Comparative studies of the tuning type-1 fuzzy sets (T1FSTs) and IT2FST methods for controlled system using TSMFOPID are carried out and the results are discussed. The results prove that the proposed IT2FST for TSMFOPID controller is very useful for considered application over disturbance changes and parameter uncertainties.https://doi.org/10.1186/s43067-019-0009-9Fractional-order PIDTakagi–Sugeno fuzzy techniqueInterval type-2 fuzzy techniqueFuzzy type-1 self-tuning controller |
| spellingShingle | M. A. Abdel Ghany M. E. Bahgat W. M. Refaey Soliman Sharaf Type-2 fuzzy self-tuning of modified fractional-order PID based on Takagi–Sugeno method Journal of Electrical Systems and Information Technology Fractional-order PID Takagi–Sugeno fuzzy technique Interval type-2 fuzzy technique Fuzzy type-1 self-tuning controller |
| title | Type-2 fuzzy self-tuning of modified fractional-order PID based on Takagi–Sugeno method |
| title_full | Type-2 fuzzy self-tuning of modified fractional-order PID based on Takagi–Sugeno method |
| title_fullStr | Type-2 fuzzy self-tuning of modified fractional-order PID based on Takagi–Sugeno method |
| title_full_unstemmed | Type-2 fuzzy self-tuning of modified fractional-order PID based on Takagi–Sugeno method |
| title_short | Type-2 fuzzy self-tuning of modified fractional-order PID based on Takagi–Sugeno method |
| title_sort | type 2 fuzzy self tuning of modified fractional order pid based on takagi sugeno method |
| topic | Fractional-order PID Takagi–Sugeno fuzzy technique Interval type-2 fuzzy technique Fuzzy type-1 self-tuning controller |
| url | https://doi.org/10.1186/s43067-019-0009-9 |
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