Robust H∞ FIR filtering with sampled-data measurements

The problem of robust H_∞ filter with FIR (finite impulse response) structure for linear continuous time-varying systems with sampled-data measurements is to be considered. It is assumed that the system is subject to real time-varying uncertainty which is represented by the state-space model having parameter uncertainty. The sampled-data system is represented by using piecewise continuous system with finite jumps. The robust H_∞ FIR filter is derived by using the equivalence relationship between the FIR filter and the recursive filter, that would be guarantee a prescribed H_∞ performance in the continuous-time context, irrespective of the parameter uncertainty and unknown initial states