Sampled-Data Control for a Class of Singular Takagi-Sugeno Fuzzy Systems with Application in Truck-Trailer System
In order to solve the admissibility problem for a class of nonlinear singular systems with sampling, nonlinearity, and external disturbances, a sample-data control algorithm based on input delay methodology is proposed in this paper. Firstly, the system is converted to a time-delay system based on T...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-08-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/9/1762 |
| _version_ | 1797482057881878528 |
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| author | Yongcheng Yang Minjie Zheng |
| author_facet | Yongcheng Yang Minjie Zheng |
| author_sort | Yongcheng Yang |
| collection | DOAJ |
| description | In order to solve the admissibility problem for a class of nonlinear singular systems with sampling, nonlinearity, and external disturbances, a sample-data control algorithm based on input delay methodology is proposed in this paper. Firstly, the system is converted to a time-delay system based on Takagi–Sugeno fuzzy models via an input delay approach, with many novel time-delay methods being used to deal with the sampled-data control problem. Secondly, both the upper and lower bounds of the sampling period are considered, which has a wider application scope. Thirdly, to obtain less conservative results, an appropriate Lyapunov–Krasovskii function, which involves several symmetric positive definite matrices, is established, and a relaxation variable is introduced by the method of reciprocally convex inequality. Then the conditions of admissibility are given, and the design method of the sampled-data controller is introduced. Finally, a truck-trailer example and two numerical examples are given to prove that the proposed approaches are valid and applicable. |
| first_indexed | 2024-03-09T22:22:53Z |
| format | Article |
| id | doaj.art-2a5699b7d4b24a238198d02e375f178e |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T22:22:53Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-2a5699b7d4b24a238198d02e375f178e2023-11-23T19:10:33ZengMDPI AGSymmetry2073-89942022-08-01149176210.3390/sym14091762Sampled-Data Control for a Class of Singular Takagi-Sugeno Fuzzy Systems with Application in Truck-Trailer SystemYongcheng Yang0Minjie Zheng1Navigation College, Jimei University, Xiamen 361021, ChinaNavigation College, Jimei University, Xiamen 361021, ChinaIn order to solve the admissibility problem for a class of nonlinear singular systems with sampling, nonlinearity, and external disturbances, a sample-data control algorithm based on input delay methodology is proposed in this paper. Firstly, the system is converted to a time-delay system based on Takagi–Sugeno fuzzy models via an input delay approach, with many novel time-delay methods being used to deal with the sampled-data control problem. Secondly, both the upper and lower bounds of the sampling period are considered, which has a wider application scope. Thirdly, to obtain less conservative results, an appropriate Lyapunov–Krasovskii function, which involves several symmetric positive definite matrices, is established, and a relaxation variable is introduced by the method of reciprocally convex inequality. Then the conditions of admissibility are given, and the design method of the sampled-data controller is introduced. Finally, a truck-trailer example and two numerical examples are given to prove that the proposed approaches are valid and applicable.https://www.mdpi.com/2073-8994/14/9/1762singular fuzzy systemssampled-data controlinput delay approachreciprocally convex inequality |
| spellingShingle | Yongcheng Yang Minjie Zheng Sampled-Data Control for a Class of Singular Takagi-Sugeno Fuzzy Systems with Application in Truck-Trailer System Symmetry singular fuzzy systems sampled-data control input delay approach reciprocally convex inequality |
| title | Sampled-Data Control for a Class of Singular Takagi-Sugeno Fuzzy Systems with Application in Truck-Trailer System |
| title_full | Sampled-Data Control for a Class of Singular Takagi-Sugeno Fuzzy Systems with Application in Truck-Trailer System |
| title_fullStr | Sampled-Data Control for a Class of Singular Takagi-Sugeno Fuzzy Systems with Application in Truck-Trailer System |
| title_full_unstemmed | Sampled-Data Control for a Class of Singular Takagi-Sugeno Fuzzy Systems with Application in Truck-Trailer System |
| title_short | Sampled-Data Control for a Class of Singular Takagi-Sugeno Fuzzy Systems with Application in Truck-Trailer System |
| title_sort | sampled data control for a class of singular takagi sugeno fuzzy systems with application in truck trailer system |
| topic | singular fuzzy systems sampled-data control input delay approach reciprocally convex inequality |
| url | https://www.mdpi.com/2073-8994/14/9/1762 |
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