Selective H-2 and H-infinity Stabilization of Takagi-Sugeno Fuzzy Systems

dc.creatorTognetti, ES
dc.creatorOliveira, RCLF
dc.creatorPeres, PLD
dc.date2011
dc.dateOCT
dc.date2014-07-30T18:31:43Z
dc.date2015-11-26T17:49:34Z
dc.date2014-07-30T18:31:43Z
dc.date2015-11-26T17:49:34Z
dc.date.accessioned2018-03-29T00:32:39Z
dc.date.available2018-03-29T00:32:39Z
dc.identifierIeee Transactions On Fuzzy Systems. Ieee-inst Electrical Electronics Engineers Inc, v. 19, n. 5, n. 890, n. 900, 2011.
dc.identifier1063-6706
dc.identifierWOS:000295586600008
dc.identifier10.1109/TFUZZ.2011.2150229
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/71357
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/71357
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1289421
dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionThis paper presents new results concerning the stability analysis and design of state-feedback controllers for continuous-time Takagi-Sugeno (T-S) fuzzy systems via fuzzy Lyapunov functions. The membership functions of the T-S fuzzy systems are modeled in a space that is defined by the Cartesian product of simplexes called a multisimplex. If the time derivatives of the membership functions are bounded, the bounds are used to construct a polytope that models the space of the time derivatives of the membership functions. Linear matrix inequality (LMI) relaxations that are based on polynomial matrices are provided for stability analysis and controller design. Extensions for the design of control laws that minimize upper bounds to H-2 and H-infinity norms are also given. The main novelty of this method is that it allows one to synthesize control gains, which depends only on some premise variables that are selected by the designer. Numerical experiments illustrate the flexibility and advantages of the proposed method.
dc.description19
dc.description5
dc.description890
dc.description900
dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.languageen
dc.publisherIeee-inst Electrical Electronics Engineers Inc
dc.publisherPiscataway
dc.publisherEUA
dc.relationIeee Transactions On Fuzzy Systems
dc.relationIEEE Trans. Fuzzy Syst.
dc.rightsfechado
dc.rightshttp://www.ieee.org/publications_standards/publications/rights/rights_policies.html
dc.sourceWeb of Science
dc.subjectContinuous-time systems
dc.subjectH-2 and H-infinity controls
dc.subjectlinear matrix inequality (LMI) relaxations
dc.subjectnonquadratic stabilizability
dc.subjectTakagi-Sugeno (T-S) fuzzy systems
dc.subjectLyapunov Function-approach
dc.subjectLmi-based Designs
dc.subjectNonlinear-systems
dc.subjectStability Conditions
dc.subjectController Synthesis
dc.subjectQuadratic Stability
dc.subjectModels
dc.subjectForm
dc.subjectRelaxations
dc.subjectRegulators
dc.titleSelective H-2 and H-infinity Stabilization of Takagi-Sugeno Fuzzy Systems
dc.typeArtículos de revistas


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