The characteristics of optimum control for the second order P.W.M. sampled-data system with linear plants are investigated, with the development of method for finding the cannonical represetations for the initial states, as well as the optimality of modulator output for the P.W.M. system, which contains the electro-mechanical components, by dividing the phase plane into several regions, in which the position of the system in the phase plane are converted into the pulse polarity and pulse width.