Abstract
In this paper, we investigate the problem of L 2 -L∞ filtering for a class of stochastic linear continuous repetitive processes. Attention is focused on the design of full-order filter that guarantees the filtering error repetitive processes to be mean-square asymptotically stable and to have a prespecified L 2 -L∞ performance γ with respect to all energy-bounded input signals. Sufficient conditions are proposed in terms of linear matrix inequality, and the corresponding filter design is cast into a convex optimization problem. A numerical example illustrates the effectiveness of the proposed design scheme.
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