Less conservative conditions for robust LQR-state-derivative controller design: an LMI approach

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (Unesp)-
Autor(es): dc.contributorFed Technol Univ Parana UTFPR-
Autor(es): dc.creatorBeteto, Marco Antonio Leite [UNESP]-
Autor(es): dc.creatorAssuncao, Edvaldo [UNESP]-
Autor(es): dc.creatorTeixeira, Marcelo Carvalho Minhoto [UNESP]-
Autor(es): dc.creatorSilva, Emerson Ravazzi Pires da-
Autor(es): dc.creatorBuzachero, Luiz Francisco Sanches-
Autor(es): dc.creatorPonte Caun, Rodrigo da-
Data de aceite: dc.date.accessioned2022-02-22T00:58:31Z-
Data de disponibilização: dc.date.available2022-02-22T00:58:31Z-
Data de envio: dc.date.issued2021-06-25-
Data de envio: dc.date.issued2021-06-25-
Data de envio: dc.date.issued2021-03-02-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1080/00207721.2021.1891325-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/210087-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/210087-
Descrição: dc.descriptionThis study proposes less conservative conditions for robust linear quadratic regulator controllers using state-derivative feedback (SDF). The algebraic Ricatti equation was formulated using the SDF, and its solution was obtained by linear matrix inequalities. SDF was chosen owing to the presence of accelerometers as sensors. Since accelerometers are the main sensors in mechanical systems, the proposed technique may be used to control/attenuate their vibrations/oscillations. Moreover, to formulate the less conservative conditions, some methods in the specialised literature were used, such as, for example, slack variables by Finler's Lemma. The paper also offers necessary and sufficient conditions for an arbitrary convex combination of square real matrices A(1), A(2), ... , A(3), to be a nonsingular matrix, and thus an invertible one: A(1) must be nonsingular and all the real eigenvalues of A(1)(-1)A(2), A(1)(-1)A(3), ... , A(1)(-1)A, must be positive. This result is important in the formulation of the proposed less conservative conditions since it was assumed that a given convex combination is nonsingular. A feasibility analysis demonstrates that the proposed conditions reduce the conservatism. Thereby, it is possible to stabilise a higher number of systems and to reduce the guaranteed cost. Furthermore, a practical implementation illustrated the application of the proposed conditions.-
Descrição: dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)-
Descrição: dc.descriptionSao Paulo State Univ UNESP, Dept Elect Engn, Sch Engn, 1370,Jose Carlos Rossi Ave, BR-15385000 Ilha Solteira, Brazil-
Descrição: dc.descriptionFed Technol Univ Parana UTFPR, Acad Dept Elect, Cornelio Procopio, Brazil-
Descrição: dc.descriptionFed Technol Univ Parana UTFPR, Dept Elect Engn, Apucarana, Brazil-
Descrição: dc.descriptionSao Paulo State Univ UNESP, Dept Elect Engn, Sch Engn, 1370,Jose Carlos Rossi Ave, BR-15385000 Ilha Solteira, Brazil-
Descrição: dc.descriptionCAPES: 001-
Formato: dc.format20-
Idioma: dc.languageen-
Publicador: dc.publisherTaylor & Francis Ltd-
Relação: dc.relationInternational Journal Of Systems Science-
???dc.source???: dc.sourceWeb of Science-
Palavras-chave: dc.subjectLinear quadratic regulator (LQR)-
Palavras-chave: dc.subjectlinear matrix inequalities (LMIs)-
Palavras-chave: dc.subjectstate derivative feedback (SDF)-
Palavras-chave: dc.subjectrobust control-
Palavras-chave: dc.subjectFinsler's lemma-
Título: dc.titleLess conservative conditions for robust LQR-state-derivative controller design: an LMI approach-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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