State feedback control for discrete delay systems with controller failures based on average dwell-time method

The problem of controller design for a class of linear discrete delay systems subject to controller failures is studied. The discrete switched delay systems are used to describe the considered systems. Then, based on the average dwell-time scheme, under the condition that the activation time ratio between the system without controller failures and the system with controller failures is not less than a specified constant, the state feedback controller is developed in terms of linear matrix inequalities such that the resulting closed-loop system is exponentially stable. At last, a numerical example is given to illustrate the effectiveness of the proposed method.