Efficient LMI conditions for enhanced stabilization of discrete-time Takagi-Sugeno models via delayed nonquadratic Lyapunov functions

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dc.creatorPedro Henrique Silva Coutinho
dc.creatorJimmy Lauber
dc.creatorMiguel Bernal
dc.creatorReinaldo Martinez Palhares
dc.date.accessioned2025-05-21T13:04:47Z
dc.date.accessioned2025-09-08T23:55:23Z
dc.date.available2025-05-21T13:04:47Z
dc.date.issued2019
dc.identifier.doihttps://doi.org./10.1109/TFUZZ.2019.2892341
dc.identifier.issn1063-6706
dc.identifier.urihttps://hdl.handle.net/1843/82401
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofIEEE Transactions on fuzzy systems
dc.rightsAcesso Restrito
dc.subjectEngenharia Mecânica
dc.subjectMatemática
dc.subjectControle de Processos
dc.subjectInteligência Artificial
dc.subjectModelos fuzzy Takagi-Sugeno
dc.subject.otherDiscrete-time Takagi–Sugeno (T–S) fuzzy models
dc.subject.otherDelayed controller
dc.subject.otherLyapunov Function , Linear Matrix Inequalities , Linear Matrix Inequality Conditions , TakagiSugeno Model , Non-quadratic Lyapunov Function , Sufficient Conditions , Stability Conditions , Fuzzy Model , State Of The Literature , Discrete-time Model , Optimal Control , Numerical Examples , Convex Optimization , Lyapunov Function Candidate , Multiset , Closed-loop Dynamics , Symmetric Block , Premise Variables
dc.subject.otherLinear matrix inequalities (LMIs)
dc.subject.otherNonquadratic Lyapunov functions
dc.subject.otherStabilization
dc.titleEfficient LMI conditions for enhanced stabilization of discrete-time Takagi-Sugeno models via delayed nonquadratic Lyapunov functions
dc.typeArtigo de periódico
local.citation.epage1843
local.citation.issue9
local.citation.spage1833
local.citation.volume27
local.description.resumoThis paper is concerned with the reduction of conservatism on stabilization conditions of discrete-time Takagi-Sugeno fuzzy models via delayed nonquadratic Lyapunov functions. A fruitful approach recently appeared in the literature, which, despite its benefits, dramatically increases the number of linear matrix inequalities needed to synthesize a controller. The two sets of sufficient conditions hereby proposed tackle this numerical problem while reducing conservatism and increasing the stabilization domain of existing conditions in literature, as illustrated in several examples.
local.publisher.countryBrasil
local.publisher.departmentENG - DEPARTAMENTO DE ENGENHARIA ELETRÔNICA
local.publisher.initialsUFMG
local.url.externahttps://ieeexplore.ieee.org/document/8607042

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