Abstract

This paper focuses on the problem of H ∞-control design for linear systems with multiple time-delays, in which the controlled output contains delayed states and disturbance input. The proposed H ∞-control problem for a class of linear systems with time-delays is realized as an H ∞-control problem for an auxiliary linear system free of time-delay. A new explicit design for dynamic output feedback H ∞ controllers is obtained. In addition, a numerical example is presented to illustrate the effectiveness of the proposed approach.

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