The permanent magnet synchronous motor control system is characterized by its nonlinear and strongly coupled complexity, presenting significant challenges for control performance optimization. To address these challenges, a Fuzzy adaptive fractional order \(PD^{\mu }\) control strategy based on torque observation compensation is proposed. The parameters of the fractional order \(PD^{\mu }\) controller are optimized real time using fuzzy logic reasoning, in order to enhance the speed of parameters tuning, a graphical design method of the fractional order \(PD^{\mu }\) controller parameters based on frequency domain performance indicators is proposed to obtain the initial values of the fuzzy adaptive fractional order \(PD^{\mu }\) controller parameters graphically and intuitively. Furthermore, a load torque observer is designed to improve the anti interference capability of the system by proportionally converting the observed load torque into compensation current in equal proportion. Simulation and experimental results validate that the proposed strategy demonstrates superior dynamic and static performance, as well as robustness.
