An application of a modern control to a pulsed column is considered. Experimentally, a finite time settling control (FTSC) with finite time settling observer (FTSO) algorithms as a modern control scheme for a single loop controller of pulsed columns was selected. The FTSC with FTSO algorithms in this study was based on the step response pattern such as the dynamic behavior for the transfer function. The control objective was to keep the solute concentration in the product stream. First, the control system was designed from the measurement data of a step response using 30% trin-butylphosphate in a kerosene-acetic acid-water system. Then, the control algorithms were applied to the Purex liquid system using the published experimental data of uranium concentration during a transient operation. The controllabilities of pulsed columns are discussed in the direct digital control simulation studies.