LMI-based control synthesis of constrained Takagi-Sugeno fuzzy systems subject to L2 or L disturbances

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dc.creatorAnh-Tu Nguyen
dc.creatorThomas Laurain
dc.creatorReinaldo Martinez Palhares
dc.creatorJimmy Lauber
dc.creatorChouki Sentouh
dc.creatorJean Christophe Popieul
dc.date.accessioned2025-03-25T16:34:01Z
dc.date.accessioned2025-09-08T23:20:12Z
dc.date.available2025-03-25T16:34:01Z
dc.date.issued2016
dc.identifier.doihttps://doi.org/10.1016/j.neucom.2016.05.063
dc.identifier.issn0925-2312
dc.identifier.urihttps://hdl.handle.net/1843/80911
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofNeurocomputing
dc.rightsAcesso Restrito
dc.subjectSistemas lineares
dc.subjectLiapunov, Funções de
dc.subjectTeoria do controle
dc.subject.otherControle
dc.subject.otherControle de Processos
dc.subject.othersistemas não lineares
dc.subject.otherOtimização
dc.subject.otherControle Robusto
dc.subject.otherInteligência Computacional
dc.subject.otherTakagi–Sugeno fuzzy systems, Control input saturation, Fuzzy Lyapunov functions, Domain of attraction, Non-parallel distributed compensation control scheme
dc.titleLMI-based control synthesis of constrained Takagi-Sugeno fuzzy systems subject to L2 or L disturbances
dc.typeArtigo de periódico
local.citation.epage804
local.citation.spage793
local.citation.volume207
local.description.resumoThis paper is devoted to the development of a new saturated non-parallel distributed compensation control law for disturbed Takagi–Sugeno fuzzy systems subject to both control input and state constraints. In order to cover a large range of real-world applications, both and disturbances are considered which result in two different control design procedures. A parameter-dependent version of the generalized sector condition is effectively exploited in a fuzzy Lyapunov control framework to handle the control input saturation. Moreover, the proposed control method is based on the concept of robust invariant set which is able to provide an explicit characterization of the estimated domain of attraction of the closed-loop system. Different optimization algorithms are also proposed to deal with the trade-off between different closed-loop requirements in a local control context. The design conditions are expressed in terms of linear matrix inequalities which can be solved efficiently with available solvers. The numerical examples illustrate how the proposed methodology leads to less conservative results as well as less computational complexity when compared to very recent works in the literature.
local.publisher.countryBrasil
local.publisher.departmentENG - DEPARTAMENTO DE ENGENHARIA ELETRÔNICA
local.publisher.initialsUFMG
local.url.externahttps://www.sciencedirect.com/science/article/pii/S0925231216305173

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