Abstract

In this paper, the robust H∞ control problem of output dynamic observer-based control for a class of uncertain neutral systems is considered. The linear matrix inequality optimization approach is used to design the new H∞ output dynamic controls. Three classes of H∞ observer-based controls are proposed. The minimal H∞-norm bound and the maximal perturbed bound are given. Based on the result of this paper, the constraint of matrix equality is not necessary for designing the H∞ observer-based controls. A numerical example is given to stress the usefulness of the proposed results.

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