Finite-Time Admissibility and Controller Design for T-S Fuzzy Stochastic Singular Systems with Distinct Differential Term Matrices

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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Main Authors: Liang Qiao, Zhaomin Lv
Format: Article
Language:English
Published: Hindawi-Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/2858980
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spelling doaj-3b566298add842bea4d721b30f145ae42021-08-02T00:00:07ZengHindawi-WileyComplexity1099-05262021-01-01202110.1155/2021/2858980Finite-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 BeijingSchool of Urban Railway TransportationThe 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
collection DOAJ
language English
format Article
sources DOAJ
author Liang Qiao
Zhaomin Lv
spellingShingle Liang Qiao
Zhaomin Lv
Finite-Time Admissibility and Controller Design for T-S Fuzzy Stochastic Singular Systems with Distinct Differential Term Matrices
Complexity
author_facet Liang Qiao
Zhaomin Lv
author_sort Liang Qiao
title 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_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_sort finite-time admissibility and controller design for t-s fuzzy stochastic singular systems with distinct differential term matrices
publisher Hindawi-Wiley
series Complexity
issn 1099-0526
publishDate 2021-01-01
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.
url http://dx.doi.org/10.1155/2021/2858980
work_keys_str_mv AT liangqiao finitetimeadmissibilityandcontrollerdesignfortsfuzzystochasticsingularsystemswithdistinctdifferentialtermmatrices
AT zhaominlv finitetimeadmissibilityandcontrollerdesignfortsfuzzystochasticsingularsystemswithdistinctdifferentialtermmatrices
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