Linear quadratic networked control of uncertain polytopic systems.
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Date
2016
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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.
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Keywords
Discretized linear systems, Networked control systems, Taylor series expansion, State feedback control, Polytopic uncertainties
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.