Observer-based robust reliable H∞ control for uncertain time-delay discrete-time systems in the presence of sensor failure

The reliable H_infin control problem for time-varying delayed discrete-time systems is proposed for the case of a simultaneous presence of sensor failures. A more practical general mode of sensor is presented to investigate sensor failures. Based on a linear matrix inequality (LMI) technique, an observer-based reliable controller is designed, such that, both in normal and fault cases of sensor, the closed-loop system is asymptotically stable and has an H_infin disturbance attenuation boundness. A numerical example is presented to demonstrate the applicability and effectiveness of the proposed approach.