Robust admissibilization for a class of discrete singular systems

In this paper, we investigate the robust admissibilization problem for a class of discrete singular systems. Based on the Lyapunov stability theory, some sufficient and necessary conditions, which guarantee the nominal system to be admissible, are derived in terms of linear matrix inequalities (LMIs). Furthermore, applying the parameter dependent Lyapunov function approach, the robust admissibilization stabilization conditions via state feedback are also presented. A numerical example is given to demonstrate the effectiveness of the proposed methods.