Journal
FUZZY SETS AND SYSTEMS
Volume 158, Issue 2, Pages 180-193Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.fss.2006.09.001
Keywords
basis-dependent Lyapunov function; fuzzy system; H-infinity filtering; linear matrix inequality
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This paper is concerned with the H,,. filtering problem for a class of discrete-time fuzzy systems. Attention is focused on the design of a stable filter guaranteeing a prescribed noise attenuation level in the H infinity sense. By using basis-dependent Lyapunov functions, sufficient conditions for the solvability of this problem are obtained. It has been shown that the H infinity filtering problem can be solved as a linear matrix inequality (LMI) optimization problem. Two examples are provided to demonstrate the applicability of the proposed approach. (C) 2006 Elsevier B.V. All rights reserved.
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