Modified Looped Functional for Sampled-Data Control of T-S Fuzzy Markovian Jump Systems
This article investigates the sampled-data control for a class of Takagi-Sugeno (T-S) fuzzy Markovian jump systems via a novel looped functional approach. By refining the fractional delayed state concept, the looped functional is established to include more sampling information of the intervals not...
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| Published in | IEEE transactions on fuzzy systems Vol. 29; no. 9; pp. 2543 - 2552 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
New York
IEEE
01.09.2021
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1063-6706 1941-0034 |
| DOI | 10.1109/TFUZZ.2020.3003498 |
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| Abstract | This article investigates the sampled-data control for a class of Takagi-Sugeno (T-S) fuzzy Markovian jump systems via a novel looped functional approach. By refining the fractional delayed state concept, the looped functional is established to include more sampling information of the intervals not only from <inline-formula><tex-math notation="LaTeX">x(t_{k})</tex-math></inline-formula> to <inline-formula><tex-math notation="LaTeX">x(t)</tex-math></inline-formula> but also from <inline-formula><tex-math notation="LaTeX">x(t)</tex-math></inline-formula> to <inline-formula><tex-math notation="LaTeX">x(t_{k+1})</tex-math></inline-formula>, which would contribute to a reduction in the conservatism. Then, a sufficient criterion is presented to ensure the stochastic stability of the resulting closed-loop system, based on which the sampled-data controller is further designed for the T-S fuzzy Markovian jump system under the influence of asynchronous premise variables. Finally, the obtained theorems are applied to a numerical example and a practical application to show the effectiveness and superiority of the proposed method. |
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| AbstractList | This article investigates the sampled-data control for a class of Takagi–Sugeno (T–S) fuzzy Markovian jump systems via a novel looped functional approach. By refining the fractional delayed state concept, the looped functional is established to include more sampling information of the intervals not only from [Formula Omitted] to [Formula Omitted] but also from [Formula Omitted] to [Formula Omitted], which would contribute to a reduction in the conservatism. Then, a sufficient criterion is presented to ensure the stochastic stability of the resulting closed-loop system, based on which the sampled-data controller is further designed for the T–S fuzzy Markovian jump system under the influence of asynchronous premise variables. Finally, the obtained theorems are applied to a numerical example and a practical application to show the effectiveness and superiority of the proposed method. This article investigates the sampled-data control for a class of Takagi-Sugeno (T-S) fuzzy Markovian jump systems via a novel looped functional approach. By refining the fractional delayed state concept, the looped functional is established to include more sampling information of the intervals not only from <inline-formula><tex-math notation="LaTeX">x(t_{k})</tex-math></inline-formula> to <inline-formula><tex-math notation="LaTeX">x(t)</tex-math></inline-formula> but also from <inline-formula><tex-math notation="LaTeX">x(t)</tex-math></inline-formula> to <inline-formula><tex-math notation="LaTeX">x(t_{k+1})</tex-math></inline-formula>, which would contribute to a reduction in the conservatism. Then, a sufficient criterion is presented to ensure the stochastic stability of the resulting closed-loop system, based on which the sampled-data controller is further designed for the T-S fuzzy Markovian jump system under the influence of asynchronous premise variables. Finally, the obtained theorems are applied to a numerical example and a practical application to show the effectiveness and superiority of the proposed method. |
| Author | Park, PooGyeon Guan, Chaoxu Fei, Zhongyang |
| Author_xml | – sequence: 1 givenname: Chaoxu orcidid: 0000-0003-3760-2526 surname: Guan fullname: Guan, Chaoxu email: <?Pub Dtl?>guanchaoxu@sina.com organization: Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, China – sequence: 2 givenname: Zhongyang orcidid: 0000-0003-4178-932X surname: Fei fullname: Fei, Zhongyang email: feizhongyang@gmail.com organization: Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, China – sequence: 3 givenname: PooGyeon orcidid: 0000-0002-8249-5427 surname: Park fullname: Park, PooGyeon email: ppg@postech.ac.kr organization: Department of Electrical Engineering, Pohang University of Science and Technology, Pohang, South Korea |
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| Snippet | This article investigates the sampled-data control for a class of Takagi-Sugeno (T-S) fuzzy Markovian jump systems via a novel looped functional approach. By... This article investigates the sampled-data control for a class of Takagi–Sugeno (T–S) fuzzy Markovian jump systems via a novel looped functional approach. By... |
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| SubjectTerms | Closed loop systems Control stability Control systems design Delays Feedback control Fuzzy control Fuzzy systems Looped functional sampled-data control Stability criteria Stochastic processes Symmetric matrices Takagi–Sugeno (T–S) fuzzy Markovian jump systems |
| Title | Modified Looped Functional for Sampled-Data Control of T-S Fuzzy Markovian Jump Systems |
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