Journal
APPLIED MATHEMATICS LETTERS
Volume 17, Issue 12, Pages 1331-1341Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.am1.2004.04.004
Keywords
linear matrix inequality; output feedback; robust stabilization; two-dimensional continuous systems; uncertain systems
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This paper considers the problem of robust stabilization via dynamic output feedback controllers for uncertain two-dimensional continuous systems described by the Roesser's state space model. The parameter uncertainties are assumed to be norm-bounded appearing in all the matrices of the system model. A sufficient condition for the existence of dynamic output feedback controllers guaranteeing the asymptotic stability of the closed-loop system for all admissible uncertainties is proposed. A desired dynamic output feedback controller can be constructed by solving a set of linear matrix inequalities. Finally, an illustrative example is provided to demonstrate the applicability and effectiveness of the proposed method. (C) 2004 Elsevier Ltd. All rights reserved.
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