The significance of Permanent Magnet Synchronous Motors (PMSM) is that it offers high performance and efficiency for motor drives. The controlling of the high-performance motor is characterized by smooth operation of the motor over entire speed range, control ability of torque even at zero speed, fast acceleration, and deceleration. The optimization of the speedcontrol performance under different constraints and uncertainties is the biggest concern in PMSM. In that sense, various speedcontrol mechanisms were presented towards identifying the better way to control PMSM drive having high-speed features and desired torque response. However, it is necessary to have a suitable control mechanism where the better adjustment of performance can be achieved for a different operating condition. However, it is quite hard to distinguish the system characteristics and dynamic control parameters during real-time operation due to complexity in PMSM system. This paper intends to present the survey of controlling strategies in PMSM and current research trends in PMSM. Along with the research gap, a futuristic line of research is presented.