Robust non-fragile H_∞ control for class of uncertain singular system with time-delay in state

This paper deals with the design problem of robust and non-fragile H∞ state feedback controller for a class of uncertain singular system with state delay.One class of perturbations is considered,namely,additive.The state feedback non-fragile controller designs for H∞ control under the class of gain perturbations are given in terms of linear matrix inequalities.The designed controllers are such that the closed-loop system is regular,stable and impulse-free and offers optimitive H∞ norm bound.An illustrative example shows the effectiveness of the proposed design method.