On local H∞ switched controller design for uncertain T–S fuzzy systems subject to actuator saturation with unknown membership functions

dc.contributor.authorde Oliveira, Diogo Ramalho [UNESP]
dc.contributor.authorTeixeira, Marcelo Carvalho Minhoto [UNESP]
dc.contributor.authorAlves, Uiliam Nelson Lendzion Tomaz
dc.contributor.authorde Souza, Wallysonn Alves
dc.contributor.authorAssunção, Edvaldo [UNESP]
dc.contributor.authorCardim, Rodrigo [UNESP]
dc.contributor.institutionScience and Technology of Mato Grosso do Sul
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionScience and Technology of Paraná
dc.contributor.institutionScience and Technology of Tocantins
dc.date.accessioned2018-12-11T17:17:06Z
dc.date.available2018-12-11T17:17:06Z
dc.date.issued2018-08-01
dc.description.abstractThis manuscript proposes a local H∞ switched controller design for a class of uncertain nonlinear plants described by Takagi–Sugeno (T–S) fuzzy models with unknown membership functions. The control design requires only the lower and upper bounds of the system nonlinearities and of the system linear parameters, which can depend on uncertain parameters. The switched control law chooses a state-feedback controller gain, which belongs to a given set of gains, that minimizes the time derivative of a quadratic Lyapunov function. This procedure eliminates the necessity of finding the membership function expressions to implement the control law, guarantees an H∞ performance and ensures that the state trajectory remains within a region in which the T–S fuzzy model is valid. Due to the H∞ control design, that frequently results in very large control inputs, it is considered that the switched control law is subject to actuator saturation. Finally, two examples are presented. The first example studies the control of a chaotic Lorenz system. It shows that, for disturbances with large magnitude, the proposed procedures provided better results than the obtained with another recent method found in the literature, that considers full access to the membership functions. In the second example, a practical implementation of an active nonlinear suspension control system, considering an uncertain bounded mass and a fault in the actuator, confirms the effectiveness of the proposed approach.en
dc.description.affiliationIFMS – Federal Institute of Education Science and Technology of Mato Grosso do Sul, Campus of Três Lagoas, 79.641-162
dc.description.affiliationSão Paulo State University (UNESP) Department of Electrical Engineering, Campus of Ilha Solteira
dc.description.affiliationIFPR – Federal Institute of Education Science and Technology of Paraná, Campus of Jacarezinho, 86.400-000
dc.description.affiliationIFTO – Federal Institute of Education Science and Technology of Tocantins Department of Mathematics and Natural Sciences, Campus of Palmas, 77.021-090
dc.description.affiliationUnespSão Paulo State University (UNESP) Department of Electrical Engineering, Campus of Ilha Solteira
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipIdFAPESP: 2011/17610-0
dc.format.extent1-26
dc.identifierhttp://dx.doi.org/10.1016/j.fss.2017.12.004
dc.identifier.citationFuzzy Sets and Systems, v. 344, p. 1-26.
dc.identifier.doi10.1016/j.fss.2017.12.004
dc.identifier.file2-s2.0-85039424164.pdf
dc.identifier.issn0165-0114
dc.identifier.lattes8879964582778840
dc.identifier.lattes5062087380571462
dc.identifier.orcid0000-0002-1072-3814
dc.identifier.scopus2-s2.0-85039424164
dc.identifier.urihttp://hdl.handle.net/11449/175693
dc.language.isoeng
dc.relation.ispartofFuzzy Sets and Systems
dc.relation.ispartofsjr1,138
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectControl of uncertain nonlinear systems
dc.subjectControl signal saturation
dc.subjectH∞ control
dc.subjectLinear matrix inequality (LMI)
dc.subjectLocal stability
dc.subjectSwitched control
dc.subjectTakagi–Sugeno (T–S) fuzzy model
dc.titleOn local H∞ switched controller design for uncertain T–S fuzzy systems subject to actuator saturation with unknown membership functionsen
dc.typeArtigo
unesp.author.lattes8879964582778840
unesp.author.lattes5062087380571462[6]
unesp.author.orcid0000-0001-5047-8131 0000-0001-5047-8131[1]
unesp.author.orcid0000-0002-2996-2831[2]
unesp.author.orcid0000-0002-5820-9275[3]
unesp.author.orcid0000-0002-1072-3814[6]

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