It has been acknowledged as an important problem to maintain identity or compatibility among experimental laboratory data obtained separately in different wave flumes. The data quality mainly depends on how long the target waves can be realized in a flume without distortions. In the present paper a control circuit is devised in the form of multiple feed-back operations to attain a complete equality of the intended waves and the realized waves. The analysis of the circuit gives an algorithm which can be easily adapted to a small computer controlling wave making hardwares. As a main feature of the algorithm, a numerical filter with wave absorbing capability is presented. The filter is discretely realized so that the discrete input matches to the output directly, hence applicable even to nondeterministic input Through several example analyses, the algorithm proved its accuracy, being effective to both regular and irregular reflected waves.