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Consider the problem constructing digital controller states to control a module of robotic platform consisting of actuator with stepper motor, with low-frequency effects from the base. The problem is solved using the theory of the state space and H∞- optimization. Presented study the dynamic characteristics of a discrete input. An example of the synthesis of optimal control on the basis of a solving discrete Riccati equation, the coefficient matrix obtained feedbacks. The structure of the feedback control. The results of mathematical modeling confirming the effectiveness of the system with of the scheme electro-mechanical drive and control algorithm.