This paper proposes a fractional-order active disturbance rejection controller (FOADRC) parameters tuning design method for a permanent magnet synchronous motor (PMSM) servo system with frequency-domain analysis of active disturbance rejection control. In this method, a fractional-order proportional derivative (FOPD) and a fractional-order [proportional derivative] (FO[PD]) controllers design combining with active disturbance rejection control (ADRC) are proposed. A systematic parameter tuning scheme is presented, and a flat phase constraint is applied as a design specification, which guarantees the phase is flat around the gain crossover frequency point, and the closed-loop system is robust to gain variations. The simulation results illustrate that the response of the PMSM servo system using FO[PD]-ADRC has a smaller overshoot, less tracking error, and better resistance to load disturbance than that using FOPD-ADRC.

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