Delay-dependent robust stabilization for uncertain discrete-time singular systems with time-delays

The robust stabilization via state feedback for time-delays discrete-time singular systems with parameter uncertainties is discussed. Under a series of equivalent transformation, the equivalence between this problem and the robust stabilization via state feedback for uncertain standard state-space discrete-time linear systems with time-delays is obtained. In terms of matrix inequality, the delay-dependent sufficient condition that there exists a robust state feedback stabilizing controller such that the closed-loop system is regular, causal and stable for all admissible uncertainties is given. An numerical example illustrates the effectiveness of the method given in this paper.