Robust control of a class of sampled-data systems against LTI uncertainties

The robust stability in sampled-data control is studied for LTI uncertainties. A class of problems, which allows an exact characterization of the robust sampled-data problem in terms of a discrete H_∞ problem is considered. In the problems studied certain restrictions on the product of the uncertainty weight and the antialiasing prefilter are imposed. In return, a significant simplification of the solution is achieved, in which robust stability to LTI perturbations can be formulated as a discrete H_∞ problem