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Title: | Linear quadratic networked control of uncertain polytopic systems. |
Authors: | Braga, Marcio Feliciano Morais, Cecilia de Freitas Tognetti, Eduardo Stockler Oliveira, Ricardo Coração de Leão Fontoura de Peres, Pedro Luis Dias |
Keywords: | Discretized linear systems Networked control systems Taylor series expansion State feedback control Polytopic uncertainties |
Issue Date: | 2016 |
Citation: | BRAGA, 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. |
Abstract: | This 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. |
URI: | http://www.repositorio.ufop.br/handle/123456789/8368 |
metadata.dc.identifier.uri2: | http://onlinelibrary.wiley.com/doi/10.1002/rnc.3411/full |
metadata.dc.identifier.doi: | https://doi.org/10.1002/rnc.3411 |
ISSN: | 1099-1239 |
Appears in Collections: | DEENP - Artigos publicados em periódicos |
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ARTIGO_LinearQuadraticNetworked.pdf Restricted Access | 299,21 kB | Adobe PDF | View/Open |
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