Control synthesis for fuzzy systems with local nonlinear models subject to actuator saturation

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dc.creatorAnh-Tu Nguyen
dc.creatorPedro Coutinho
dc.creatorThierry-Marie Guerra
dc.creatorReinaldo Martinez Palhares
dc.date.accessioned2025-05-13T15:28:41Z
dc.date.accessioned2025-09-08T23:11:39Z
dc.date.available2025-05-13T15:28:41Z
dc.date.issued2019
dc.identifier.doi10.1109/FUZZ-IEEE.2019.8858978
dc.identifier.urihttps://hdl.handle.net/1843/82235
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofIEEE International Conference on Fuzzy Systems (FUZZ-IEEE)
dc.rightsAcesso Restrito
dc.subjectTeoria do controle
dc.subjectSistemas difusos
dc.subject.otherFuzzy System , Actuator Saturation , Optimization Problem , Control Method , Control Design , Illustrative Example , Postural Stability , Asymptotically Stable , Lyapunov Function , Line Search , Lyapunov Function Candidate , Convex Optimization Techniques , Transposable , Nonlinear Systems , Control Problem , Complex Design , Stability Control , Positive Definite Matrix , Definite Matrix , Fuzzy Model , Fuzzy Control , Positive Definite Diagonal Matrix , Domain Of Attraction , Fuzzy Rules , Input Saturation , Local Linear , Theorem For Problem , Fuzzy Control Method , Linear Matrix Inequalities , Output Feedback Control
dc.subject.otherControle de Processos
dc.subject.otherInteligência Artificial
dc.subject.otherInteligência Computacional
dc.subject.otherControle de Sistemas Não-Lineares
dc.subject.otherFuzzy systems , Lyapunov methods , Nonlinear systems , Control design , Symmetric matrices , Optimization , Standards
dc.titleControl synthesis for fuzzy systems with local nonlinear models subject to actuator saturation
dc.typeArtigo de evento
local.citation.epage6
local.citation.spage1
local.description.resumoThis paper presents a new method to design non-parallel distributed compensation (non-PDC) laws for Takagi- Sugeno fuzzy systems with local nonlinear models subject to actuator saturation. Based on specific congruence transformations, the local stabilization conditions are derived using Lyapunov stability theorem. The local design framework is established through an effective treatment of the sector-bound conditions for the input-saturation phenomenon and the nonlinearities in the consequents of the fuzzy systems. Using a non-quadratic Lyapunov function candidate, the control design is reformulated as an LMI-based optimization problem with a line search over a parameter, which can be effectively solved with convex optimization techniques. In particular, we theoretically prove that the new control method is less conservative compared to that derived from a standard non-PDC controller. Illustrative examples are provided to point out the interests of the proposed control method.
local.publisher.countryBrasil
local.publisher.departmentENG - DEPARTAMENTO DE ENGENHARIA ELETRÔNICA
local.publisher.initialsUFMG
local.url.externahttps://ieeexplore.ieee.org/document/8858978

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