Robust H-infinity Filtering on Uncertain Time-Delay Systems Under Sampled Measurements

The problem of robust H-infinity filtering for uncertain time-delay systems under sampled measurements is concerned, both continuous and discrete disturbance are considered in the system. The parameter uncertainties considered here are real time-varying and norm-bounded. The aim is to design a stable filter, using sampled measurements, which ensure both the robust stability and prescribed level of H-infinity performance in the continuous-time context, irrespective of the parameter uncertainties and unknown time delay. The sufficient conditions for the existence of the filter are derived. An LMI method for designing filters is given by matrix transformations, so it is convenient to obtain the expression of filter. Finally, a numerical example shows that the method is effective and feasible.