In this note, the intersample performance of linear systems, which are controlled on the basis of generalized sampled-data hold functions, in order to achieve exact model matching at the sampling instants, is analyzed. The proposed technique relies on an appropriate error system and of the expansion of its output signal in suitable basis functions, which are selected such that some finite rank linear nonself-adjoint operators are represented exactly. As it is shown, it is plausible to localize the intersample ripples, which may cause a degradation of the control performance, by appropriately selecting the arbitrary elements of the general forms of the modulating hold functions. This guarantees that the performance of the closed-loop system is the desired one, not only at the sampling instants, but even between them.