“…Therefore, the effect of integral compensation should not appear if there is neither modeling error nor step disturbance [5], [6]. To this end, Generalized Predictive Control (GPC) [7] in a multirate system is designed as a two-degree-offreedom (2DOF) system to reveal integral compensation only H. Yanai if there is modeling error or disturbance [6]. If a control system is designed using integral compensation, the control input in steady state oscillates due to modeling error, As a result, intersample ripples occur because of the control input oscillation, although sample behavior converges to its reference input [6], [8] Therefore, it is desired that the variation of the control input is reduced when there is modeling error or step disturbance.…”