Journal
AUTOMATICA
Volume 37, Issue 2, Pages 205-211Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0005-1098(00)00155-2
Keywords
2-D discrete systems; bounded realness; H-infinity control; robust stabilization; linear matrix inequality
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Feedback control of two-dimensional (2-D) systems is a problem of considerable importance in both theory and practical applications. In this paper, we present a state-space solution to the problem of H-infinity control of 2-D systems. For a linear discrete time 2-D system described by a 2-D state-space Roesser model, a 2-D dynamic output feedback controller is designed to achieve the closed-loop system asymptotic stability and a specified H-infinity performance using a linear matrix inequality (LMI) approach. We further give a solution for robust stabilization of 2-D systems subject to a class of norm bounded uncertainties. The results are demonstrated by an application example of stabilization of processes expressed in a Darboux equation. (C) 2000 Elsevier Science Ltd. All rights reserved.
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