Robust DOF control for uncertain polynomial fuzzy systems in finite frequency domain
This study addresses the issue of robust dynamic output feedback control (DOF) for polynomial Takagi–Sugeno (T–S) fuzzy systems in the Finite Frequency (FF) domain. Sufficient conditions for designing the robust DOF control are derived in terms of the sum of squares (SOS). The proposed strategy is b...
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| Format: | Article |
| Language: | English |
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Elsevier
2021-12-01
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| Series: | Results in Control and Optimization |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666720721000369 |
| _version_ | 1819037195927814144 |
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| author | Redouane Chaibi Mohamed Yagoubi Rachid El Bachtiri |
| author_facet | Redouane Chaibi Mohamed Yagoubi Rachid El Bachtiri |
| author_sort | Redouane Chaibi |
| collection | DOAJ |
| description | This study addresses the issue of robust dynamic output feedback control (DOF) for polynomial Takagi–Sugeno (T–S) fuzzy systems in the Finite Frequency (FF) domain. Sufficient conditions for designing the robust DOF control are derived in terms of the sum of squares (SOS). The proposed strategy is built in the FF domain to reduce conservation-generated by the techniques established in the whole frequency domain. In addition, there are no transformation matrices or equality constraints under these conditions, which simplifies the numerical solution. To show the validity of the suggested technique, several numerical examples are presented. |
| first_indexed | 2024-12-21T08:17:34Z |
| format | Article |
| id | doaj.art-00b5aa4c3bee4cb2a4e4a8f765c90580 |
| institution | Directory Open Access Journal |
| issn | 2666-7207 |
| language | English |
| last_indexed | 2024-12-21T08:17:34Z |
| publishDate | 2021-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Control and Optimization |
| spelling | doaj.art-00b5aa4c3bee4cb2a4e4a8f765c905802022-12-21T19:10:31ZengElsevierResults in Control and Optimization2666-72072021-12-015100062Robust DOF control for uncertain polynomial fuzzy systems in finite frequency domainRedouane Chaibi0Mohamed Yagoubi1Rachid El Bachtiri2TSI, LAB, EST, CED STI, FST, USMBA, FEZ, Morocco; Corresponding author.IMT Atlantique, LS2N (UMR CNRS 6004), Nantes, FranceTSI, LAB, EST, CED STI, FST, USMBA, FEZ, MoroccoThis study addresses the issue of robust dynamic output feedback control (DOF) for polynomial Takagi–Sugeno (T–S) fuzzy systems in the Finite Frequency (FF) domain. Sufficient conditions for designing the robust DOF control are derived in terms of the sum of squares (SOS). The proposed strategy is built in the FF domain to reduce conservation-generated by the techniques established in the whole frequency domain. In addition, there are no transformation matrices or equality constraints under these conditions, which simplifies the numerical solution. To show the validity of the suggested technique, several numerical examples are presented.http://www.sciencedirect.com/science/article/pii/S2666720721000369Dynamic output feedback control (DOF)Finite frequency (FF) domainPolynomial Takagi–Sugeno (T–S) fuzzy systems |
| spellingShingle | Redouane Chaibi Mohamed Yagoubi Rachid El Bachtiri Robust DOF control for uncertain polynomial fuzzy systems in finite frequency domain Results in Control and Optimization Dynamic output feedback control (DOF) Finite frequency (FF) domain Polynomial Takagi–Sugeno (T–S) fuzzy systems |
| title | Robust DOF control for uncertain polynomial fuzzy systems in finite frequency domain |
| title_full | Robust DOF control for uncertain polynomial fuzzy systems in finite frequency domain |
| title_fullStr | Robust DOF control for uncertain polynomial fuzzy systems in finite frequency domain |
| title_full_unstemmed | Robust DOF control for uncertain polynomial fuzzy systems in finite frequency domain |
| title_short | Robust DOF control for uncertain polynomial fuzzy systems in finite frequency domain |
| title_sort | robust dof control for uncertain polynomial fuzzy systems in finite frequency domain |
| topic | Dynamic output feedback control (DOF) Finite frequency (FF) domain Polynomial Takagi–Sugeno (T–S) fuzzy systems |
| url | http://www.sciencedirect.com/science/article/pii/S2666720721000369 |
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