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Type: Artigo de periódico
Title: Robust H state feedback control of discrete-time systems with state delay: an LMI approach
Author: Leite, VJS
Tarbouriech, S
Peres, PLD
Abstract: In this paper, uncertain discrete-time systems with delayed states are investigated. The uncertainty is supposed to belong to a known convex polytope and can affect all system matrices. Sufficient linear matrix inequality conditions are given for the computation of H infinity-guaranteed costs and for the design of robust state feedback gains assuring an H infinity attenuation level. The conditions proposed here can assure robustness irrespective of the value of the delay and, differently from other approaches in the literature, are formulated as convex optimization problems. If the delay is known and the delayed states are available, a feedback gain depending on past values of the state can be used to improve the closed-loop performance of the system. As illustrated by numerical examples, including the model of an industrial electric heater, the proposed techniques are simple to be applied and can lead to less conservative results when compared with other conditions from the literature.
Subject: timedelay
discrete-time systems
robust stability
guaranteed H infinity cost
uncertain systems
linear matrix inequalities
parameter-dependent Lyapunov functions
Country: Inglaterra
Editor: Oxford Univ Press
Rights: fechado
Identifier DOI: 10.1093/imamci/dnp018
Date Issue: 2009
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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