A control circuit is for an electric power plant including an asynchronous generator of an AC voltage, a motor to rotate a rotor of the asynchronous generator as a function of a first control signal of a developed motor torque, and a bank of capacitors coupled to the asynchronous generator and having a total capacitance varying as function of a second control signal. The control circuit may include a monitor circuit to monitor at least one parameter of the AC voltage, and a control signal generator circuit cooperating with the monitor circuit to generate the first and second control signals by soft-computing techniques both as a function of the frequency and of a representative value of an amplitude of the AC voltage to make the AC voltage have a desired amplitude and frequency.