Due to the long field time-constant and the shielding effect of the double rotor screen, it is not effective to control a superconducting generator (SCG) through the generator excitation system. A possibility, considered here, is to control the SCG through an electrohydraulic governor as its time-constant is much less than that of the field winding. An adaptive power system stabilizer for an SCG based on the pole-shift linear feedback control algorithm and acting through the SCG electro-hydraulic governor has been designed and applied to a single SCGinfinite-bus power system driven by a three stage turbine that includes a re-heater. The turbine is controlled by an electrohydraulic governor. A third order autoregressive moving average (ARMA) model is used to represent the plant that can be controlled by an adaptive pole-shift controller through the electro-hydraulic governor.