Sequential predictors for delay compensation for discrete time systems with time-varying delays

We study time-varying linear discrete time systems with uncertainties and time-varying measurement delays, whose outputs are perturbed by uncertainty. We build sequential predictors, which ensure input-to-state stability with respect to the uncertainties and which can be constructed using output values under arbitrarily long delays. The number of required sequential predictors is any upper bound for the delay in our feedback stabilized closed loop systems. We illustrate our work in a digital control problem for a continuous time system that is discretized through sampling.