ON THE CHARACTERIZATION OF SAMPLED-DATA CONTROLLERS IN THE LIFTED DOMAIN

In this paper, we address sampled-data control problems on which the s ampling and hold devices are not fixed beforehand, but are chosen as p art of the design process. The idea is to apply the lifting transforma tion to the plant and then characterize the set of generalized sampled -data controllers, i.e., those that can be implemented as the cascade of a generalized sampler, a discrete-time controller and a generalized hold. We argue that our approach offers significant advantages over p revious works, and will illustrate this by considering three applicati ons: the input/output stabilization by generalized sampled-data contro llers, the solution of the H-infinity optimal control problem and the combination of analog and digital controllers.