H∞ control for singular systems with time-delay

The problem of output feedback H_∞ control was considered for singular systems with time-delay in state. The purpose is the design of output feedback controller such that resulting closed-loop system is regular, impulse-free and stable while the closed-loop transfer function satisfies a prescribed H_∞-norm bound constraint. A sufficient condition for the solvability of this problem is obtained in term of linear matrix inequalities (LMIs). When these LMIs are feasible, an output feedback controller is given. Illustrative example shows the effectiveness of the proposed approach.