I. Introduction
Sensorless surface-mounted permanent magnet synchronous motor (SPMSM) drive systems are increasingly used in household and industrial applications due to their high reliability and low cost [8]. The existing sensorless control techniques for SPMSMs can be classified into two categories: 1) high-frequency signal injection-based methods [1], [2], which rely on the magnetic saturation of SPMSM; and 2) model-based methods [3]–[29], which rely on the estimation of flux linkage or back electromotive force (EMF). The flux linkage estimation based methods have the advantage of wide-speed applicability because the flux linkage is independent of the operating speed [4], [5]. However, since the flux linkage is obtained by integrating the back EMF, the nonzero initial value will eventually result in an evident error to the estimated flux, thereby degrading the accuracy of the estimated position. Currently, in medium- and high-speed regions, methods based on back EMF estimation hold a dominant role. These methods usually include a back EMF estimator and a cascading position/speed extractor which extracts the rotor speed and position from the estimated back EMF. Various methods can be utilized to estimate the back EMF, such as extended Kalman filter [3], sliding-mode observer (SMO) [8]–[12], disturbance observer [5], [7], extended state observer (ESO) [13]–[15], etc. [17]–[29].