An EGR valve control system includes a motor 5 exercising the opening and closing control of an EGR valve; a sensor 6 detecting the actual opening position of the EGR valve; and a motor control apparatus (control arithmetic section 1) computing a drive duty of the motor 5 based on a target opening position of the EGR valve and the actual opening position thereof detected by the sensor 6; and the control apparatus is arranged such that the control arithmetic section 1, when a target opening position of the EGR valve is set, computes an integral term based on the deviation between the target opening position and the actual opening position of the EGR valve, a proportional term and a differential term based on the change of the actual opening position of the EGR valve, and a feedforward term based on the change of the target opening position, respectively, and the control arithmetic section further exercises the opening and closing control of the EGR valve by computing the drive duty of the motor 5 by performing addition and subtraction on the computed integral term, proportional term, differential term, and feedforward term.