The role of asymptotic sampling zero dynamics in the sampled-data control of continuous nonlinear systems

It is known that controllers designed based on an approximate discrete time model can fail when applied to the real process. This is a well studied problem in nonlinear systems theory. Here we exploit recent results on the asymptotic sampling zeros of nonlinear systems to gain insight into one failure mechanism for sampled-data controllers for continuous time nonlinear systems. It is argued that the sampled-data model has to account, in some way, for the sampling zero dynamics if high-bandwidth control of a continuous nonlinear system is required.