Comments on ‘Less conservative conditions for robust LQR-state-derivative controller design: an LMI approach’ and new sufficient LMI conditions for invertibility of a convex combination of matrices

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorInstituto Tecnológico de Aeronáutica (ITA)-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.contributorAdam Mickiewicz University-
Autor(es): dc.creatorGalvão, Roberto Kawakami Harrop-
Autor(es): dc.creatorTeixeira, Marcelo Carvalho Minhoto-
Autor(es): dc.creatorSzulc, Tomasz-
Autor(es): dc.creatorAssunção, Edvaldo-
Autor(es): dc.creatorBeteto, Marco Antonio Leite-
Data de aceite: dc.date.accessioned2025-08-21T19:50:03Z-
Data de disponibilização: dc.date.available2025-08-21T19:50:03Z-
Data de envio: dc.date.issued2022-05-01-
Data de envio: dc.date.issued2022-05-01-
Data de envio: dc.date.issued2021-12-31-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1080/00207721.2021.2023689-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/233996-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/233996-
Descrição: dc.descriptionThis note is concerned with conditions on a set of non-singular matrices (Formula presented.), (Formula presented.), so that any convex combination of these matrices is also non-singular. The first part of the note points out that Theorem 2.3 in a previous paper [Beteto et al. (2021). Less conservative conditions for robust LQR-state derivative controller design: An LMI approach. International Journal of Systems Science] provides only necessary conditions, which are not sufficient in the general case. In the second part, some stability results based on Linear Matrix Inequalities (LMIs) for a class of fractional order systems are used to establish new sufficient conditions. Numerical examples are presented for illustration. The results suggest that the new LMI conditions may be less conservative compared to a test proposed in the literature on P-matrices, and also to a positive-definiteness test based on matrix cross-products.-
Descrição: dc.descriptionElectronic Engineering Division Instituto Tecnológico de Aeronáutica (ITA), SP-
Descrição: dc.descriptionDepartment of Electrical Engineering São Paulo State University (UNESP) School of Engineering, SP-
Descrição: dc.descriptionFaculty of Mathematics and Computer Science Adam Mickiewicz University-
Descrição: dc.descriptionDepartment of Electrical Engineering São Paulo State University (UNESP) School of Engineering, SP-
Idioma: dc.languageen-
Relação: dc.relationInternational Journal of Systems Science-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectfull rank conditions of convex combinations of matrices-
Palavras-chave: dc.subjectlinear matrix inequalities (LMIs)-
Palavras-chave: dc.subjectLinear quadratic regulator (LQR)-
Palavras-chave: dc.subjectrobust control-
Palavras-chave: dc.subjectstate derivative feedback (SDF)-
Título: dc.titleComments on ‘Less conservative conditions for robust LQR-state-derivative controller design: an LMI approach’ and new sufficient LMI conditions for invertibility of a convex combination of matrices-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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