Adaptive exponential reaching laws and high-gain observers for enhanced PMSM sliding mode control systems

This research presents a novel Adaptive Hybrid Exponential Reaching Law (AHERL) designed to enhance sliding mode control (SMC) systems for Permanent Magnet Synchronous Motors (PMSMs). The method incorporates an adaptive exponential component to facilitate rapid convergence with minimal overshoot, complemented by a high-gain disturbance observer for effective disturbance compensation. The simulation results reveal that AHERL delivers exceptional performance, including a 52% decrease in the integral square error (ISE), which quantifies the cumulative squared errors over time, and a 35% reduction in the integral time-weighted absolute error (ITAE), which evaluates time-weighted control errors. Moreover, AHERL achieved the target speed regulation within 0.1014 seconds, substantially outperforming the Conventional Exponential Reaching Law (CERL) at 0.335 seconds and other approaches, thereby demonstrating superior robustness and accuracy. These results underscore AHERL’s potential to significantly enhance speed control in PMSM applications.