Abstract
This paper propose new design method of discrete-time sliding-mode preview reptitive servo systems. First, an augmented error system which contains periodicity signal, is introduced. Next, the construction of an linear slide mode servo system using augmented system is shown. Then, the preview feed forward compensation based on the optimal control theory is applied. This method not only has the advantage of conventional preview repetition servo system, but has the robustness it is ineffective by the conventional method. The computer experimental results on LDM position control system show the effectiveness of proposed design method.