A control algorithm that can be used to suppress the mechanical resonance of the optical telescope is proposed.The control algorithm uses a segmented PI controller for the position loop

active disturbance rejection control（ADRC）for the speed loop

and speed feedforward control.Firstly

the telescope control system model is established and the control algorithm is derived.Secondly

compared with the acceleration feedback method

and the principle of suppressing mechanical resonance of the controller is analyzed from the perspective of the frequency domain.Finally

using this method on the photoelectric telescope

the results show that the mechanical resonance is effectively suppressed

and the speed loop bandwidth is expanded.Compared with traditional PI control

the speed loop bandwidth is increased by 50 %

and the position loop bandwidth is increased by 36 %

and the peak value（PV）tracking error is reduced by 10.3 arc seconds.