A control apparatus for a power converter having a plurality of semiconductor switching devices that converts DC power into AC power and outputs three levels of voltages, including a command voltage generator configured to output a command voltage vector that represents a voltage to be output from the power converter, an integrator configured to calculate a difference integral vector by integrating a difference between the command voltage vector and an output voltage vector that represents a voltage command for the power converter, a difference vector calculator configured to calculate difference vectors by subtracting the command voltage vector from each of the possible output voltage vectors, a vector selector configured to select one of the possible output voltage vectors which corresponds to one of the difference vectors making the largest angle with the difference integral vector as the output voltage vector only if the difference integral vector exceeds a predetermined value, and a gate signal generator configured to determine one of switching states that includes a plurality of ON-OFF pattern signals for turning on and off the semiconductor switching devices on the basis of the output voltage vector.