Journal
AUTOMATICA
Volume 40, Issue 6, Pages 1053-1061Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2004.01.025
Keywords
robust stability; guaranteed-cost; H-infinity optimization; uncertain linear systems; linear matrix inequality; parameter-dependent Lyapunov functions
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A linear matrix inequality approach to compute H (infinity) guaranteed costs by means of parameter-dependent Lyapunov functions is presented in this paper. The uncertain linear time-invariant systems are supposed to belong to convex bounded domains (polytope-type uncertainty). The conditions proposed are less conservative than other parameter-dependent based method!; from the literature, providing better estimates of worst-case H-infinity norms, in both continuous- and discrete-time systems, as illustrated by means of numerical examples. (C) 2004 Elsevier Ltd. All rights reserved.
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