I. Introduction
Permanent magnet synchronous motors (PMSMs) based on field-oriented control (FOC) are widely used in many industrial applications due to their good torque performance, wide speed range, and fast dynamic response [1]–[4]. The FOC strategy achieves independent control of flux and torque by decomposing the stator current into excitation and torque components in a synchronous rotating coordinate system [5], [6]. However, the –-axis currents after the coordinate transformation have a cross-coupling phenomenon, which affects the dynamic performance of the system, especially at high frequencies or low carrier ratios [7], [8]. Moreover, the PMSM system will encounter different disturbances in practice, which may come from internal disturbances, such as friction and unmodeled dynamics, or from external disturbances, such as load disturbances. If these disturbances are not handled well, they will affect the performance of the system [9]–[11].