In this paper

a kind of two-degree-of-freedom internal model controller for electro-optical tracking servo system is presented. By converting the design of controller to a H∞ optimization problem

the system can obtain good robust performance. Considering the dynamic behavior between sampling time and multi-rate signals in system

the sampled-data control techniques such as jump transform

lifting and so on are used to the synthesis of robust controller. The simulation results show that the designed internal model controller not only can guarantee good attenuation of disturbance as well as the tracking performance

but also can finally satisfy speed control requirement for high-performance linear servo systems. By this way

the works in this paper give a new method to design the controller for servo system of electro-optical tracking.