In this paper, presents the non-parameters modeling issue about increment motion system for the first time, use the dynamic matrix control (DMC) technique and obtain well control effect.

Increment motion control system refers to microsecond even nanosecond electronic apparatus switch transient process, millisecond digital controller adjust process and second motor transition process.

Fractional Gaussian Noise (FGN) is the increment process of fractional Brownian motion, they are widely used in modelling self-similar process.