Finite-Time Admissibility and Controller Design for T-S Fuzzy Stochastic Singular Systems with Distinct Differential Term Matrices
The finite-time admissibility analysis and controller design issues for extended T-S fuzzy stochastic singular systems (FSSSs) with distinct differential term matrices and Brownian parameter perturbations are discussed. When differential term matrices are allowed to be distinct in fuzzy rules, such...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/2858980 |
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| _version_ | 1832548878658830336 |
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| author | Liang Qiao Zhaomin Lv |
| author_facet | Liang Qiao Zhaomin Lv |
| author_sort | Liang Qiao |
| collection | DOAJ |
| description | The finite-time admissibility analysis and controller design issues for extended T-S fuzzy stochastic singular systems (FSSSs) with distinct differential term matrices and Brownian parameter perturbations are discussed. When differential term matrices are allowed to be distinct in fuzzy rules, such fuzzy models can describe a wide class of nonlinear stochastic systems. Using fuzzy Lyapunov function (FLF), a new and relaxed sufficient condition is proposed via strict linear matrix inequalities (LMIs). Different from the existing stability conditions by FLF, the derivative bounds of fuzzy membership functions are not required in this condition. Based on admissibility analysis results, a design method for parallel distribution compensation (PDC) controller of FSSSs is given to guarantee the finite-time admissibility of the closed-loop system. Finally, the feasibility and effectiveness of the proposed methods in this article are illustrated with three examples. |
| format | Article |
| id | doaj-art-3b566298add842bea4d721b30f145ae4 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-3b566298add842bea4d721b30f145ae42025-02-03T06:12:51ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/28589802858980Finite-Time Admissibility and Controller Design for T-S Fuzzy Stochastic Singular Systems with Distinct Differential Term MatricesLiang Qiao0Zhaomin Lv1Shunde Graduate School of University of Science and Technology Beijing, Beijing, ChinaSchool of Urban Railway Transportation, Shanghai University of Engineering Science, Shanghai, ChinaThe finite-time admissibility analysis and controller design issues for extended T-S fuzzy stochastic singular systems (FSSSs) with distinct differential term matrices and Brownian parameter perturbations are discussed. When differential term matrices are allowed to be distinct in fuzzy rules, such fuzzy models can describe a wide class of nonlinear stochastic systems. Using fuzzy Lyapunov function (FLF), a new and relaxed sufficient condition is proposed via strict linear matrix inequalities (LMIs). Different from the existing stability conditions by FLF, the derivative bounds of fuzzy membership functions are not required in this condition. Based on admissibility analysis results, a design method for parallel distribution compensation (PDC) controller of FSSSs is given to guarantee the finite-time admissibility of the closed-loop system. Finally, the feasibility and effectiveness of the proposed methods in this article are illustrated with three examples.http://dx.doi.org/10.1155/2021/2858980 |
| spellingShingle | Liang Qiao Zhaomin Lv Finite-Time Admissibility and Controller Design for T-S Fuzzy Stochastic Singular Systems with Distinct Differential Term Matrices Complexity |
| title | Finite-Time Admissibility and Controller Design for T-S Fuzzy Stochastic Singular Systems with Distinct Differential Term Matrices |
| title_full | Finite-Time Admissibility and Controller Design for T-S Fuzzy Stochastic Singular Systems with Distinct Differential Term Matrices |
| title_fullStr | Finite-Time Admissibility and Controller Design for T-S Fuzzy Stochastic Singular Systems with Distinct Differential Term Matrices |
| title_full_unstemmed | Finite-Time Admissibility and Controller Design for T-S Fuzzy Stochastic Singular Systems with Distinct Differential Term Matrices |
| title_short | Finite-Time Admissibility and Controller Design for T-S Fuzzy Stochastic Singular Systems with Distinct Differential Term Matrices |
| title_sort | finite time admissibility and controller design for t s fuzzy stochastic singular systems with distinct differential term matrices |
| url | http://dx.doi.org/10.1155/2021/2858980 |
| work_keys_str_mv | AT liangqiao finitetimeadmissibilityandcontrollerdesignfortsfuzzystochasticsingularsystemswithdistinctdifferentialtermmatrices AT zhaominlv finitetimeadmissibilityandcontrollerdesignfortsfuzzystochasticsingularsystemswithdistinctdifferentialtermmatrices |