H infinity robust and resilient control for singular interval systems with state delay

The problem of H infinity robust and resilient control for a class of singular interval systems with state delay is proposed. The purpose of the H infinity robust and resilient control is to design a state feedback resilient controller such that the resulting closed-loop systems are robust stable with H infinity norm bound. Two classes of perturbations are considered, namely, additive and multiplicative. This problem is solved via the notion of generalized quadratic stabilization with H infinity norm bound. And the resilient controllers can be obtained by solving a set of linear matrix inequalities (LMIs). An illustrative example is given to demonstrate the effectiveness of the design method proposed.