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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: <>. 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.
ISSN: 10991239
Appears in Collections:DEENP - Artigos publicados em periódicos

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