Output feedback control for singular systems with time-varying delay

This paper is devoted to the problem of H-inf output feedback control for linear singular systems with state time-varying delay. The purpose is to design a non-singular dynamic output feedback controller to ensure that the closed-loop system is regular, impulse free and stable with a prescribed H-inf performance level. Using the linear matrix inequality (LMI) approach, a new delay-dependent stability criterion is obtained by introducing a free-weighting matrix when estimating the upper bound of the derivative of Lyapunov Functional. And the corresponding stability controller design algorithm is proposed. Finally, a numerical example is included to demonstrate the effectiveness of the proposed method.