Simultaneous estimation of state and unknown input with L-infinity guarantee on error-bounds for fuzzy descriptor systems

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dc.creatorAnh-Tu Nguyen
dc.creatorThierry-Marie Guerra
dc.creatorVíctor Costa da Silva Campos
dc.date.accessioned2025-05-13T14:49:04Z
dc.date.accessioned2025-09-09T00:21:07Z
dc.date.available2025-05-13T14:49:04Z
dc.date.issued2019
dc.identifier.doihttps://doi.org/10.1109/LCSYS.2019.2920768
dc.identifier.issn2475-1456
dc.identifier.urihttps://hdl.handle.net/1843/82226
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofIEEE Control systems letters
dc.rightsAcesso Restrito
dc.subjectSistemas difusos
dc.subject.otherFuzzy models
dc.subject.otherFuzzy descriptor systems
dc.subject.otherFuzzy observers
dc.subject.otherUnknown inputs
dc.subject.otherLyapunov method
dc.titleSimultaneous estimation of state and unknown input with L-infinity guarantee on error-bounds for fuzzy descriptor systems
dc.typeArtigo de periódico
local.citation.epage1025
local.citation.issue4
local.citation.spage1020
local.citation.volume3
local.description.resumoThis paper proposes a new L∞ observer design for fuzzy descriptor systems with unknown inputs. The descriptor form is treated using a singular redundancy system representation. To keep the consistency of the resulting fuzzy observer structure, we make use of a virtual variable playing the role of the one-step ahead state estimate. As a result, the observer gain can be constructed with free-structure decision variables to reduce the design conservatism. Using a membership-function dependent Lyapunov function, the observer design is reformulated as a convex optimization problem with a single line search parameter. In particular, the error bounds of both the state and the unknown input estimations can be minimized through the guaranteed L∞ performance level. The effectiveness of our result is demonstrated with a challenging real-world application on robot manipulators.
local.publisher.countryBrasil
local.publisher.departmentENG - DEPARTAMENTO DE ENGENHARIA ELETRÔNICA
local.publisher.initialsUFMG
local.url.externahttps://ieeexplore.ieee.org/document/8730411

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