About Optimal Fractional Hold Circuits for Inter-sample Output Reconstruction in Sampled-data Systems

摘要

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.