Performance metric evaluation of a nonlinear fractional order PID controller based on an extended state observer for permanent magnet synchronous motor speed control

This article examines the static and dynamic features of rising time, settling time, peak overshoot, peak value, and peak time in a Permanent Magnet Synchronous Motor (PMSM) using a nonlinear fractional-order PID controller (FOPIDC) based extended state observer (ESO). To discover improved speed control effectiveness in the sliding mode and the reaching phase, the suggested adaptive super twisting NLFOPID technique was created utilizing an Adaptive Super Twisting Reaching Law (ASTRL) and an NLFOPID sliding surface. Because ASTRL and NLFOPID are present, the sliding mode phase may be assured of the lowest steady-state error, strong resilience, and quick convergence, while the chattering effect can be decreased in the reaching phase, resulting in high accuracy and stability. An ESO is also built to provide feedback control correction for external disturbances. By adjusting the gains of the PID controller, this suggested controller greatly enhanced the PMSM drive's transient responsiveness. Simulation experiments in MATLAB/SIMULINK confirm the suggested controller's resiliency and efficacy in the PMSM driving scheme.