Abstract
The normal H ∞ control design deals with both plant modeling uncertainties and exogenous signal uncertainties by constructing a controller which stabilizes uncertain linear systems while satisfying an H ∞ -norm bound constraint on disturbance attenuation for all admissible uncertainties. However, the control design may result in unsatisfactory performances or even instabilities in the event of sensor failures in practical plants. This paper presents a novel technique to design robust reliable H ∞ controllers for a class of time varying uncertainty system with sensor failures by solving three linear matrix inequalities (LMIs).
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