Output feedback control of Takagi-Sugeno fuzzy systems with unmeasured nonlinearities via a local separation principle

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dc.creatorAnh-Tu Nguyen
dc.creatorPedro Henrique Silva Coutinho
dc.creatorMárcia Luciana da Costa Peixoto
dc.creatorThierry-Marie Guerra
dc.creatorReinaldo Martinez Palhares
dc.date.accessioned2025-06-02T12:16:42Z
dc.date.accessioned2025-09-08T22:48:46Z
dc.date.available2025-06-02T12:16:42Z
dc.date.issued2023
dc.identifier.doihttps://doi.org/10.1016/j.ifacol.2023.10.1122
dc.identifier.urihttps://hdl.handle.net/1843/82682
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartof22nd IFAC World Congress
dc.rightsAcesso Restrito
dc.subjectSistemas difusos
dc.subjectMatemática
dc.subject.otherTakagi-Sugeno fuzzy systems, observer-based fuzzy control, separation principle, unmeasured premise variables, linear matrix inequality
dc.subject.otherControle de Processos
dc.subject.otherControle de Sistemas Não-Lineares
dc.subject.otherControle Fuzzy
dc.subject.otherIndústria 5.0
dc.subject.otherInteligência Artificial
dc.titleOutput feedback control of Takagi-Sugeno fuzzy systems with unmeasured nonlinearities via a local separation principle
dc.typeArtigo de evento
local.citation.epage6
local.citation.spage1
local.description.resumoThis paper presents a fuzzy observer-based control framework for TS fuzzy models with nonlinear consequents (N-TS). The N-TS fuzzy model is constructed such that only measured nonlinearities are considered to obtain the fuzzy membership functions, and all unmeasured nonlinearities are modeled as local consequent parts. Based on the differential mean value theorem, the closed-loop system is rewritten in an adequate format, which allows proving the separation principle for asymptotic TS fuzzy observer-based control design. Sufficient design conditions, expressed in terms of linear matrix inequalities, are derived via delayed nonquadratic Lyapunov functions for the synthesis of both stabilizing fuzzy controller and Luenberger-like fuzzy observer. Using Lyapunov-based arguments of a local separation principle, a constructive procedure is provided to maximize the closed-loop domain of attraction (DoA) estimation, which is guaranteed to be included inside the predefined fuzzy modeling region. Numerical examples are given to illustrate the effectiveness of the proposed approach.
local.publisher.countryBrasil
local.publisher.departmentENG - DEPARTAMENTO DE ENGENHARIA ELETRÔNICA
local.publisher.initialsUFMG
local.url.externahttps://www.sciencedirect.com/science/article/pii/S2405896323015252

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