PMSM Sliding Mode Control Based on Improved Power Exponential Reaching Law

Abstract

To meet the key performance requirements of permanent magnet synchronous motor (PMSM) speed control systems — such as high-precision control, fast response, and strong anti-disturbance, a improved power exponential reaching law (IPERL) is proposed. This approach incorporates an inverse cotangent function to adaptively adjust the power term coefficient, effectively balancing the trade-off between convergence speed and sliding mode chattering. Additionally, a dynamic linear sliding mode surface is designed based on the system error, which effectively mitigates overshoot and further enhances both the dynamic and steady-state performance of the system. Finally, the effectiveness of the proposed control strategy is validated through simulations, demonstrating superior stability and convergence speed compared to conventional methods.