Output feedback control for discrete-time systems with faulty actuators based on average dwell-time method

The problem of output feedback stabilization for uncertain discrete-time systems with actuator failures is studied. A class of switching laws are designed by using the average dwell-time scheme, under the condition that activation time ratio between the stable subsystem and the unstable subsystem is not less than a specified constant. Then, the exponentially stable condition of the system is obtained in terms of linear matrix inequalities (LMIs) and the dynamic output feedback is developed. Finally, a simulation example is given to illustrate the effectiveness of the proposed result in this paper.