Aperiodic Sampled-Data Control for Chaotic System Based on Takagi–Sugeno Fuzzy Model
This paper investigates the aperiodic sampled-data control for a chaotic system. Firstly, Takagi–Sugeno (T-S) fuzzy models for the chaotic systems are established. The lower and upper bounds of the sampling period are taken into consideration. Then, the criteria for mean square exponential stability...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/6401231 |
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| _version_ | 1832550539475288064 |
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| author | Minjie Zheng Shenhua Yang Lina Li |
| author_facet | Minjie Zheng Shenhua Yang Lina Li |
| author_sort | Minjie Zheng |
| collection | DOAJ |
| description | This paper investigates the aperiodic sampled-data control for a chaotic system. Firstly, Takagi–Sugeno (T-S) fuzzy models for the chaotic systems are established. The lower and upper bounds of the sampling period are taken into consideration. Then, the criteria for mean square exponential stability analysis and aperiodic sampled-data controller synthesis are provided by means of linear matrix inequalities. And the real sampling patterns can be fully captured by constructing suitable Lyapunov functions. Finally, an illustrative example shows that the proposed method is effective to guarantee that the system’s states are stable with aperiodic sampled data. |
| format | Article |
| id | doaj-art-24ff935c4a704ef89881dac19b5b5d72 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-24ff935c4a704ef89881dac19b5b5d722025-02-03T06:06:30ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/64012316401231Aperiodic Sampled-Data Control for Chaotic System Based on Takagi–Sugeno Fuzzy ModelMinjie Zheng0Shenhua Yang1Lina Li2Navigation College, Jimei University, Jimei, Xiamen 361021, ChinaNavigation College, Jimei University, Jimei, Xiamen 361021, ChinaNavigation College, Jimei University, Jimei, Xiamen 361021, ChinaThis paper investigates the aperiodic sampled-data control for a chaotic system. Firstly, Takagi–Sugeno (T-S) fuzzy models for the chaotic systems are established. The lower and upper bounds of the sampling period are taken into consideration. Then, the criteria for mean square exponential stability analysis and aperiodic sampled-data controller synthesis are provided by means of linear matrix inequalities. And the real sampling patterns can be fully captured by constructing suitable Lyapunov functions. Finally, an illustrative example shows that the proposed method is effective to guarantee that the system’s states are stable with aperiodic sampled data.http://dx.doi.org/10.1155/2021/6401231 |
| spellingShingle | Minjie Zheng Shenhua Yang Lina Li Aperiodic Sampled-Data Control for Chaotic System Based on Takagi–Sugeno Fuzzy Model Complexity |
| title | Aperiodic Sampled-Data Control for Chaotic System Based on Takagi–Sugeno Fuzzy Model |
| title_full | Aperiodic Sampled-Data Control for Chaotic System Based on Takagi–Sugeno Fuzzy Model |
| title_fullStr | Aperiodic Sampled-Data Control for Chaotic System Based on Takagi–Sugeno Fuzzy Model |
| title_full_unstemmed | Aperiodic Sampled-Data Control for Chaotic System Based on Takagi–Sugeno Fuzzy Model |
| title_short | Aperiodic Sampled-Data Control for Chaotic System Based on Takagi–Sugeno Fuzzy Model |
| title_sort | aperiodic sampled data control for chaotic system based on takagi sugeno fuzzy model |
| url | http://dx.doi.org/10.1155/2021/6401231 |
| work_keys_str_mv | AT minjiezheng aperiodicsampleddatacontrolforchaoticsystembasedontakagisugenofuzzymodel AT shenhuayang aperiodicsampleddatacontrolforchaoticsystembasedontakagisugenofuzzymodel AT linali aperiodicsampleddatacontrolforchaoticsystembasedontakagisugenofuzzymodel |