I. Introduction
Since Depenbrock [1] and Takahashi [2] proposed direct torque control (DTC) for induction motor drives in the middle of 1980s, more than one decade has passed. The basic idea of DTC for induction motor which is to control the flux linkage and torque by selecting the voltage space vectors properly is now being adopted by the industry. In the late 1990s, DTC techniques for the permanent magnet synchronous machine (PMSM) machines have appeared [3]–[5]. Compared with traditional vector control, DTC for PMSM has the advantages of simple structure, fast torque response, good robustness etc.