Abstract A fractional-order active disturbance rejection control strategy is presented to realize precise trajectory tracking and point-to-point positioning performances of a newly designed linear motor. Structure characteristics and working mechanism of the new linear motor are analyzed. Reference acceleration feedforward, extended state observer, tracking differentiator, and fractional-order proportional derivative algorithm are combined to achieve high-precision trajectory tracking and point-to-point positioning performances. Different simulations and experiments are compared, and results illustrate that the proposed method performs well in spite of parameter variations and external disturbances. Consequently, precision trajectory tracking and point-to-point positioning performances of the novel linear motor have been obtained.