A control apparatus is provided for eliminating a slippage in control timing between the input/output of a controlled object, even when the control object exhibits a relatively large dynamic characteristic such as a phase delay, a dead time, or the like, to improve the stability and the controllability of the control. The control apparatus comprises a state predictor for calculating a predicted value of a value indicative of an output of a controlled object based on a prediction algorithm, and a DSM controller for calculating a control input to the controlled object based on one modulation algorithm selected from a modulation algorithm, a modulation algorithm, and a modulation algorithm for controlling the output of the controlled object in accordance with the calculated predicted value.