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

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 withrespect to its sampled values. A squared error time- integral between the current output andits sampled values is minimized to yield the appropriate correcting gain of the FROH in ananalytic way