Design and experimentation of sampled-data controller in T-S fuzzy systems with input saturation through the use of linear switching methods
In this study, the stability and stabilization analyses are discussed for Takagi-Sugeno (T-S) fuzzy systems with input saturation. A fuzzy-based sampled-data control is designed to stabilize the T-S fuzzy systems. Based on the Lyapunov method and some integral inequality techniques, a set of suffici...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024118?viewType=HTML |
| _version_ | 1827381163881136128 |
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| author | YeongJae Kim YongGwon Lee SeungHoon Lee Palanisamy Selvaraj Ramalingam Sakthivel OhMin Kwon |
| author_facet | YeongJae Kim YongGwon Lee SeungHoon Lee Palanisamy Selvaraj Ramalingam Sakthivel OhMin Kwon |
| author_sort | YeongJae Kim |
| collection | DOAJ |
| description | In this study, the stability and stabilization analyses are discussed for Takagi-Sugeno (T-S) fuzzy systems with input saturation. A fuzzy-based sampled-data control is designed to stabilize the T-S fuzzy systems. Based on the Lyapunov method and some integral inequality techniques, a set of sufficient conditions is obtained as linear matrix inequality (LMI) constraints to guarantee the asymptotic stability of the considered system. In this process, the linear switching method is utilized to design a controller that is dependent on the membership function, and an integral inequality is utilized. Additionally, determination of the controller parameters is achieved by resolving a series of LMI constraints. The effectiveness of these criteria is demonstrated through a real system that is modeled by the T-S system. |
| first_indexed | 2024-03-08T13:52:15Z |
| format | Article |
| id | doaj.art-6aac16dfcbf84613ab2c3010ea6ae1ce |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-08T13:52:15Z |
| publishDate | 2024-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-6aac16dfcbf84613ab2c3010ea6ae1ce2024-01-16T01:34:19ZengAIMS PressAIMS Mathematics2473-69882024-01-01912389241010.3934/math.2024118Design and experimentation of sampled-data controller in T-S fuzzy systems with input saturation through the use of linear switching methodsYeongJae Kim 0YongGwon Lee1SeungHoon Lee2 Palanisamy Selvaraj 3Ramalingam Sakthivel 4OhMin Kwon5School of Electrical Engineering, Chungbuk National University, Cheongju 28644, Republic of KoreaSchool of Electrical Engineering, Chungbuk National University, Cheongju 28644, Republic of KoreaSchool of Electrical Engineering, Chungbuk National University, Cheongju 28644, Republic of KoreaSchool of Electrical Engineering, Chungbuk National University, Cheongju 28644, Republic of KoreaSchool of Electrical Engineering, Chungbuk National University, Cheongju 28644, Republic of KoreaSchool of Electrical Engineering, Chungbuk National University, Cheongju 28644, Republic of KoreaIn this study, the stability and stabilization analyses are discussed for Takagi-Sugeno (T-S) fuzzy systems with input saturation. A fuzzy-based sampled-data control is designed to stabilize the T-S fuzzy systems. Based on the Lyapunov method and some integral inequality techniques, a set of sufficient conditions is obtained as linear matrix inequality (LMI) constraints to guarantee the asymptotic stability of the considered system. In this process, the linear switching method is utilized to design a controller that is dependent on the membership function, and an integral inequality is utilized. Additionally, determination of the controller parameters is achieved by resolving a series of LMI constraints. The effectiveness of these criteria is demonstrated through a real system that is modeled by the T-S system.https://www.aimspress.com/article/doi/10.3934/math.2024118?viewType=HTMLinput saturationlinear matrix inequalitylyapunov stabilitysampled-data controlt-s fuzzy system |
| spellingShingle | YeongJae Kim YongGwon Lee SeungHoon Lee Palanisamy Selvaraj Ramalingam Sakthivel OhMin Kwon Design and experimentation of sampled-data controller in T-S fuzzy systems with input saturation through the use of linear switching methods AIMS Mathematics input saturation linear matrix inequality lyapunov stability sampled-data control t-s fuzzy system |
| title | Design and experimentation of sampled-data controller in T-S fuzzy systems with input saturation through the use of linear switching methods |
| title_full | Design and experimentation of sampled-data controller in T-S fuzzy systems with input saturation through the use of linear switching methods |
| title_fullStr | Design and experimentation of sampled-data controller in T-S fuzzy systems with input saturation through the use of linear switching methods |
| title_full_unstemmed | Design and experimentation of sampled-data controller in T-S fuzzy systems with input saturation through the use of linear switching methods |
| title_short | Design and experimentation of sampled-data controller in T-S fuzzy systems with input saturation through the use of linear switching methods |
| title_sort | design and experimentation of sampled data controller in t s fuzzy systems with input saturation through the use of linear switching methods |
| topic | input saturation linear matrix inequality lyapunov stability sampled-data control t-s fuzzy system |
| url | https://www.aimspress.com/article/doi/10.3934/math.2024118?viewType=HTML |
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