H-infinity And H-2 Nonquadratic Stabilisation Of Discrete-time Takagi-sugeno Systems Based On Multi-instant Fuzzy Lyapunov Functions

dc.creatorTognetti
dc.creatorEduardo S.; Oliveira
dc.creatorRicardo C. L. F.; Peres
dc.creatorPedro L. D.
dc.date2015-Jan
dc.date2016-06-07T13:33:17Z
dc.date2016-06-07T13:33:17Z
dc.date.accessioned2018-03-29T01:49:03Z
dc.date.available2018-03-29T01:49:03Z
dc.identifier
dc.identifierH-infinity And H-2 Nonquadratic Stabilisation Of Discrete-time Takagi-sugeno Systems Based On Multi-instant Fuzzy Lyapunov Functions. Taylor & Francis Ltd, v. 46, p. 76-87 Jan-2015.
dc.identifier0020-7721
dc.identifierWOS:000344245000006
dc.identifier10.1080/00207721.2013.775383
dc.identifierhttp://www.tandfonline.com/doi/abs/10.1080/00207721.2013.775383#.VyjXtdIrLcc
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/243665
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1307363
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.descriptionThe problem of state feedback control design for discrete-time Takagi-Sugeno (TS) (T-S) fuzzy systems is investigated in this paper. A Lyapunov function, which is quadratic in the state and presents a multi-polynomial dependence on the fuzzy weighting functions at the current and past instants of time, is proposed.This function contains, as particular cases, other previous Lyapunov functions already used in the literature, being able to provide less conservative conditions of control design for TS fuzzy systems. The structure of the proposed Lyapunov function also motivates the design of a new stabilising compensator for Takagi-Sugeno fuzzy systems. The main novelty of the proposed state feedback control law is that the gain is composed of matrices with multi-polynomial dependence on the fuzzy weighting functions at a set of past instants of time, including the current one. The conditions for the existence of a stabilising state feedback control law that minimises an upper bound to the [GRAPHICS] or [GRAPHICS] norms are given in terms of linear matrix inequalities. Numerical examples show that the approach can be less conservative and more efficient than other methods available in the literature.
dc.description46
dc.description1
dc.description
dc.description76
dc.description87
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.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description
dc.description
dc.description
dc.languageen
dc.publisherTAYLOR & FRANCIS LTD
dc.publisher
dc.publisherABINGDON
dc.relationINTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
dc.rightsembargo
dc.sourceWOS
dc.subjectH-infinity Control
dc.subjectLmi-based Designs
dc.subjectNonlinear-systems
dc.subjectPerformance Conditions
dc.subjectQuadratic Stability
dc.subjectRobust Stability
dc.subjectFeedback Control
dc.subjectLinear-systems
dc.subjectH-2
dc.subjectModels
dc.titleH-infinity And H-2 Nonquadratic Stabilisation Of Discrete-time Takagi-sugeno Systems Based On Multi-instant Fuzzy Lyapunov Functions
dc.typeArtículos de revistas


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