Robust reliable H∞ control in the presence of sensor failure

The reliable Hinfin 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 describe sensor failures. Based on a linear matrix inequality(LMI) technique, a static output feedback reliable controller is designed, such that, in normal and fault cases of sensor, the closed-loop system is asymptotically stable and has an Hinfin disturbance attenuation bound. A numerical example is presented to demonstrate the applicability and effectiveness of the proposed approaches.

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