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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Linear quadratic networked control of uncertain polytopic systems

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Author(s):
Braga, Marcio F. ; Morais, Cecilia F. ; Tognetti, Eduardo S. ; Oliveira, Ricardo C. L. F. ; Peres, Pedro L. D.
Total Authors: 5
Document type: Journal article
Source: INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL; v. 26, n. 11, p. 2299-2313, JUL 25 2016.
Web of Science Citations: 2
Abstract

This paper investigates the problem of designing robust linear quadratic regulators for uncertain polytopic continuous-time systems over networks subject to delays. The main contribution is to provide a procedure to determine a discrete-time representation of the weighting matrices associated to the quadratic criterion and 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 obtained discretized model has matrices with polynomial dependence on the uncertain parameters and an additive norm-bounded term representing the approximation residual error. A strategy based on linear matrix inequality relaxations is proposed to synthesize, in the discrete-time domain, a digital robust state feedback control law that stabilizes the original continuous-time system assuring an upper bound to the quadratic cost of the closed-loop system. The applicability of the proposed design method is illustrated through a numerical experiment. Copyright (C) 2015 John Wiley \& Sons, Ltd. (AU)

FAPESP's process: 14/22881-1 - Control of switched systems, Markov jump linear systems and other classes of hybrid systems through LMIs
Grantee:Cecília de Freitas Morais
Support type: Scholarships in Brazil - Post-Doctorate
FAPESP's process: 14/25112-9 - Optimal control and filtering of discretized polytopic systems
Grantee:Marcio Feliciano Braga
Support type: Scholarships in Brazil - Post-Doctorate