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In order to investigate different position control algorithms for numerical controlled machines and robots, a positional control system was built on the base of  a microcomputer. In part I, the paper presents the  observer algorithm for  state variable estimation and the state variable feedback control algorithm applied to the position control of a  particular machine-table. With the hardware and software structure of the microcomputer based digital system described in this paper different control algorithms can be  realized flexibly. The position control problem for the plant with variations or  uncertainties of  parameters and load characteristics will be reported in part II.