Mathematical Modelling and Analysis of the Simplest Fuzzy Two-Input Two-Output Two-Term Controller of Takagi−Sugeno Type
Mathematical modelling of the simplest Takagi−Sugeno fuzzy Two-Input Two-Output (TITO) Proportional-Integral/Proportional-Derivative (PI/PD) controller is presented in this paper. Mathematical model of fuzzy PI/PD controller is proposed using Algebraic Product (AP) t-norm, Bounded Sum (BS) t-co-norm...
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| Format: | Article |
| Language: | English |
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Tsinghua University Press
2023-03-01
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| Series: | Fuzzy Information and Engineering |
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| Online Access: | https://www.sciopen.com/article/10.26599/FIE.2023.9270004 |
| _version_ | 1797741961336061952 |
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| author | Ritu Raj Murali Mohan Bosukonda |
| author_facet | Ritu Raj Murali Mohan Bosukonda |
| author_sort | Ritu Raj |
| collection | DOAJ |
| description | Mathematical modelling of the simplest Takagi−Sugeno fuzzy Two-Input Two-Output (TITO) Proportional-Integral/Proportional-Derivative (PI/PD) controller is presented in this paper. Mathematical model of fuzzy PI/PD controller is proposed using Algebraic Product (AP) t-norm, Bounded Sum (BS) t-co-norm and Center of Gravity (CoG) defuzzifier. The inputs are fuzzified by fuzzy sets having L and Γ type membership functions. The rule base consists of five rules with different linear models in the consequent parts. Both static and dynamic couplings are taken into account while deriving the models. The model of the fuzzy PI/PD controller reveals that it is a variable gain/structure controller. Also, each output of the TITO fuzzy controller is the sum of two nonlinear PI or PD controllers with variable gains. The properties and the gain variations of the controllers are investigated. |
| first_indexed | 2024-03-12T14:34:12Z |
| format | Article |
| id | doaj.art-600337b5ebc64d34b3a3ce84c8183911 |
| institution | Directory Open Access Journal |
| issn | 1616-8658 1616-8666 |
| language | English |
| last_indexed | 2024-03-12T14:34:12Z |
| publishDate | 2023-03-01 |
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| series | Fuzzy Information and Engineering |
| spelling | doaj.art-600337b5ebc64d34b3a3ce84c81839112023-08-17T10:22:17ZengTsinghua University PressFuzzy Information and Engineering1616-86581616-86662023-03-01151365410.26599/FIE.2023.9270004Mathematical Modelling and Analysis of the Simplest Fuzzy Two-Input Two-Output Two-Term Controller of Takagi−Sugeno TypeRitu Raj0Murali Mohan Bosukonda1Department of Electronics and Communication Engineering, Indian Institute of Information Technology Kota, MNIT Campus, Jaipur 302017, IndiaDepartment of Electrical Engineering, Indian Institute of Technology Kharagpur, West Bengal 721302, IndiaMathematical modelling of the simplest Takagi−Sugeno fuzzy Two-Input Two-Output (TITO) Proportional-Integral/Proportional-Derivative (PI/PD) controller is presented in this paper. Mathematical model of fuzzy PI/PD controller is proposed using Algebraic Product (AP) t-norm, Bounded Sum (BS) t-co-norm and Center of Gravity (CoG) defuzzifier. The inputs are fuzzified by fuzzy sets having L and Γ type membership functions. The rule base consists of five rules with different linear models in the consequent parts. Both static and dynamic couplings are taken into account while deriving the models. The model of the fuzzy PI/PD controller reveals that it is a variable gain/structure controller. Also, each output of the TITO fuzzy controller is the sum of two nonlinear PI or PD controllers with variable gains. The properties and the gain variations of the controllers are investigated.https://www.sciopen.com/article/10.26599/FIE.2023.9270004fuzzy controlmathematical modeltakagi−sugeno controllertito controllervariable gain controller |
| spellingShingle | Ritu Raj Murali Mohan Bosukonda Mathematical Modelling and Analysis of the Simplest Fuzzy Two-Input Two-Output Two-Term Controller of Takagi−Sugeno Type Fuzzy Information and Engineering fuzzy control mathematical model takagi−sugeno controller tito controller variable gain controller |
| title | Mathematical Modelling and Analysis of the Simplest Fuzzy Two-Input Two-Output Two-Term Controller of Takagi−Sugeno Type |
| title_full | Mathematical Modelling and Analysis of the Simplest Fuzzy Two-Input Two-Output Two-Term Controller of Takagi−Sugeno Type |
| title_fullStr | Mathematical Modelling and Analysis of the Simplest Fuzzy Two-Input Two-Output Two-Term Controller of Takagi−Sugeno Type |
| title_full_unstemmed | Mathematical Modelling and Analysis of the Simplest Fuzzy Two-Input Two-Output Two-Term Controller of Takagi−Sugeno Type |
| title_short | Mathematical Modelling and Analysis of the Simplest Fuzzy Two-Input Two-Output Two-Term Controller of Takagi−Sugeno Type |
| title_sort | mathematical modelling and analysis of the simplest fuzzy two input two output two term controller of takagi sugeno type |
| topic | fuzzy control mathematical model takagi−sugeno controller tito controller variable gain controller |
| url | https://www.sciopen.com/article/10.26599/FIE.2023.9270004 |
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