About optimal fractional hold circuits for inter-sample output reconstruction in sampled-data systems

Abstract

The design of fractional order-holds (FROH) of correcting gains β ∈[-1, 1] (potentially and possibly including zero-order-holds, ZOH with β=0, and first-order-holds, FROH with β=1) is discussed related to achieving output deviations being close with respect to its sampled values. A squared error time- integral between the current output and its sampled values is minimized to yield the appropriate correcting gain of the FROH in an analytic way. © 2007 by MDPI.