A novel polynomial membership functions based control method for T–S fuzzy systems

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dc.creatorWen-Bo Xie
dc.creatorJian Zhang
dc.creatorYi-Fan Li
dc.creatorReinaldo Martinez Palhares
dc.date.accessioned2025-06-23T13:43:05Z
dc.date.accessioned2025-09-08T23:55:31Z
dc.date.available2025-06-23T13:43:05Z
dc.date.issued2022
dc.identifier.doi10.1016/j.isatra.2022.02.021
dc.identifier.issn00190578
dc.identifier.urihttps://hdl.handle.net/1843/83038
dc.languagepor
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofISA Transactions
dc.rightsAcesso Restrito
dc.subjectSistemas difusos
dc.subjectMatemática
dc.subject.otherT–S fuzzy systems, Membership function, Polynomial approximation, Conservatism reduction
dc.subject.otherControle de Processos
dc.subject.otherInteligência Artificial
dc.subject.otherControle Fuzzy
dc.subject.otherMembership approximating polynomials are changed into multi-dimensional linear form; SOS conditions are replaced by locally valid LMI conditions; Globally valid SOS method is avoided, stability conservatism is efficiently reduced
dc.titleA novel polynomial membership functions based control method for T–S fuzzy systems
dc.typeArtigo de periódico
local.citation.epage203
local.citation.spage192
local.citation.volume129
local.description.resumoTo solve the state feedback stabilization problem for a class of T–S fuzzy systems, a new stability synthesis method is raised to further relax the conservatism existing in the analysis process. First, a series of nonlinear polynomials are used to approximate the system membership functions. And satisfied approximation results can be obtained. Then a polynomials transformation method is raised to change the polynomial membership functions into linear form. This method can facilitate the synthesis process and achieve better approximation precision. Therefore, by a membership function involving stability analysis approach, linear matrix inequality form stability conditions are given. Finally, by presenting and analyzing a numerical and a practical examples, the conservatism reduction effects of the proposed methods are verified.
local.publisher.countryBrasil
local.publisher.departmentENG - DEPARTAMENTO DE ENGENHARIA ELETRÔNICA
local.publisher.initialsUFMG
local.url.externahttps://www.sciencedirect.com/science/article/pii/S0019057822000805

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