The driving control technique of a moving mirror is very important for a Fourier transform spectrometer. According to the principle of an interference imaging spectroscopy, the progress of the driving techniques of moving mirrors and their applications in Fourier transform spectrometers are presented. A new driving method of a moving mirror based on an oscillating interference framework is proposed. On the basis of the fuzzy PID control, the implementation of the closed loop control method of this driving system is given.