Braga, Marcio FelicianoMorais, Cecilia de FreitasTognetti, Eduardo StocklerOliveira, Ricardo Coração de Leão Fontoura dePeres, Pedro Luis Dias2017-07-282017-07-282016BRAGA, M. F. et al. Linear quadratic networked control of uncertain polytopic systems. International Journal of Robust and Nonlinear Control, v. 26, p. 2299-2313, 2016. Disponível em: <http://onlinelibrary.wiley.com/doi/10.1002/rnc.3411/full>. Acesso em: 28 jul. 2017.1099-1239http://www.repositorio.ufop.br/handle/123456789/8368This paper investigates the problem of designing robust linear quadratic regulators for uncertain polytopiccontinuous-time systems over networks subject to delays. The main contribution is to provide a procedureto determine a discrete-time representation of the weighting matrices associated to the quadratic criterionand an accurate discretized model, in such a way that a robust state feedback gain computed in the discrete-time domain assures a guaranteed quadratic cost to the closed-loop continuous-time system. The obtaineddiscretized model has matrices with polynomial dependence on the uncertain parameters and an additivenorm-bounded term representing the approximation residual error. A strategy based on linear matrix inequal-ity relaxations is proposed to synthesize, in the discrete-time domain, a digital robust state feedback controllaw that stabilizes the original continuous-time system assuring an upper bound to the quadratic cost ofthe closed-loop system. The applicability of the proposed design method is illustrated through a numericalexperiment. Copyright © 2015 John Wiley & Sons, Ltd.en-USrestritoDiscretized linear systemsNetworked control systemsTaylor series expansionState feedback controlPolytopic uncertaintiesArtigo publicado em periodicohttp://onlinelibrary.wiley.com/doi/10.1002/rnc.3411/fullhttps://doi.org/10.1002/rnc.3411