Novel Sine-Logarithmic Reaching Law Sliding Mode Control for Permanent Magnet Synchronous Motor


Hisar Ç., Balta G., Altın N.

Actuators, cilt.15, sa.9, ss.1-10, 2026 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 9
  • Basım Tarihi: 2026
  • Doi Numarası: 10.3390/act15090497
  • Dergi Adı: Actuators
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.1-10
  • Gazi Üniversitesi Adresli: Evet

Özet

Sliding mode control (SMC) is widely used for permanent magnet synchronous motor  (PMSM) drives because of its robustness against disturbances and parameter uncertainties. However, the reaching law still faces a trade-off between fast convergence and chattering suppression. Reaching laws based on the signum function usually provide rapid convergence but induce severe high-frequency oscillations, whereas smooth or exponential modifications may reduce discontinuity at the expense of slower transient response or excessively large control gains. To address these limitations, this paper proposes a novel signum-free sine-logarithmic reaching law combined with a power-rate term for PMSM sliding mode control. The proposed structure avoids both the discontinuous signum function and the conventional smooth or exponential approximations commonly used in the literature. A theoretical analysis is presented, and the convergence behavior is characterized in terms of practical finite-time stability. The effectiveness of the proposed reaching law is evaluated in MATLAB/Simulink through comparative PMSM simulation studies, including start-up, steady-state, load-disturbance, parameter-variation, and total harmonic distortion (THD) tests against representative reaching laws from the literature. The simulation results indicate that the proposed method provides a favorable trade-off among rapid reaching, chattering attenuation, steady-state accuracy, and harmonic performance. These  findings suggest that the proposed reaching law is a competitive alternative for PMSM  sliding mode control.