This thesis is concerned with the problem of designing a constant coefficient feedback controller that will allow arbitrary pole placement of a single synchronous generator connected through a reactance to an infinite bus. The nonlinear system model is derived and linearized. The controller regulates voltage, frequency and real power outputs of the synchronous machine. It is in cascade with the plant and uses voltage, frequency and real power deviations to generate the control signals. It has the following features, which others do not possess: (1) It is designed for arbitrary pole placement of the closed loop system; (2) It is a multi-input, multi-output controller and (3) It permits ah algorithmic approach which can be completely computerized.