H∞-control problem for linear systems with multiple time-delays via dynamic output feedback

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.