Sampled-Data Control for Fuzzy Markovian Jump Systems With Actuator Saturation
In this article, the problem of sampled-data control is considered for fuzzy Markovian jump systems (FMJSs) with actuator saturation. Firstly, the mode-dependent lyapunov functional is constructed, which consists of a two-sided closed-loop function. On the basis of this function, stochastically stab...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2019-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/8918412/ |
| _version_ | 1818323659610128384 |
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| author | Xingyue Liang Jianwei Xia Guoliang Chen Hao Shen Zhen Wang |
| author_facet | Xingyue Liang Jianwei Xia Guoliang Chen Hao Shen Zhen Wang |
| author_sort | Xingyue Liang |
| collection | DOAJ |
| description | In this article, the problem of sampled-data control is considered for fuzzy Markovian jump systems (FMJSs) with actuator saturation. Firstly, the mode-dependent lyapunov functional is constructed, which consists of a two-sided closed-loop function. On the basis of this function, stochastically stable criteria are presented in the form of linear matrix inequalities (LMIs). Then, based on the stochastically stable criteria, mode-dependent sampled-data controllers are designed for FMJSs. As a corollary, stable criteria and controller design are also proposed for the general aperiodic sampled-data linear system with actuator saturation. The improved LMI-based optimization conditions are obtained to estimate the region of attraction. Finally, numerical examples are provided to show the significant improvement of the presented method. |
| first_indexed | 2024-12-13T11:16:13Z |
| format | Article |
| id | doaj.art-443546f604454d01a2e1a69833ffe48b |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-13T11:16:13Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-443546f604454d01a2e1a69833ffe48b2022-12-21T23:48:37ZengIEEEIEEE Access2169-35362019-01-01718041718042710.1109/ACCESS.2019.29571388918412Sampled-Data Control for Fuzzy Markovian Jump Systems With Actuator SaturationXingyue Liang0https://orcid.org/0000-0001-7188-5828Jianwei Xia1https://orcid.org/0000-0002-5330-9349Guoliang Chen2https://orcid.org/0000-0003-0227-7444Hao Shen3https://orcid.org/0000-0001-7024-6573Zhen Wang4School of Mathematics Science, Liaocheng University, Liaocheng, ChinaSchool of Mathematics Science, Liaocheng University, Liaocheng, ChinaSchool of Mathematics Science, Liaocheng University, Liaocheng, ChinaSchool of Electrical and Information Engineering, Anhui University of Technology, Ma’anshan, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, ChinaIn this article, the problem of sampled-data control is considered for fuzzy Markovian jump systems (FMJSs) with actuator saturation. Firstly, the mode-dependent lyapunov functional is constructed, which consists of a two-sided closed-loop function. On the basis of this function, stochastically stable criteria are presented in the form of linear matrix inequalities (LMIs). Then, based on the stochastically stable criteria, mode-dependent sampled-data controllers are designed for FMJSs. As a corollary, stable criteria and controller design are also proposed for the general aperiodic sampled-data linear system with actuator saturation. The improved LMI-based optimization conditions are obtained to estimate the region of attraction. Finally, numerical examples are provided to show the significant improvement of the presented method.https://ieeexplore.ieee.org/document/8918412/Fuzzy Markovian jump systemssampled-data controlmode-dependent Lyapunov functionactuator saturation |
| spellingShingle | Xingyue Liang Jianwei Xia Guoliang Chen Hao Shen Zhen Wang Sampled-Data Control for Fuzzy Markovian Jump Systems With Actuator Saturation IEEE Access Fuzzy Markovian jump systems sampled-data control mode-dependent Lyapunov function actuator saturation |
| title | Sampled-Data Control for Fuzzy Markovian Jump Systems With Actuator Saturation |
| title_full | Sampled-Data Control for Fuzzy Markovian Jump Systems With Actuator Saturation |
| title_fullStr | Sampled-Data Control for Fuzzy Markovian Jump Systems With Actuator Saturation |
| title_full_unstemmed | Sampled-Data Control for Fuzzy Markovian Jump Systems With Actuator Saturation |
| title_short | Sampled-Data Control for Fuzzy Markovian Jump Systems With Actuator Saturation |
| title_sort | sampled data control for fuzzy markovian jump systems with actuator saturation |
| topic | Fuzzy Markovian jump systems sampled-data control mode-dependent Lyapunov function actuator saturation |
| url | https://ieeexplore.ieee.org/document/8918412/ |
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