Nonlinear Torque Control for PMSM: A Lyapunov Technique Approach

This study presents a novel means of designing a simple and effective torque controller for Permanent Magnet Synchronous Motor (PMSM). The overall stability of the system is shown using Lyapunov technique. The Lyapunov functions used contain a term penalizing the integral of the tracking error, enhancing the stability. The tracking error is shown to be globally uniformly bounded. Simulation results are presented to show the effectiveness of the approach.

• M. Ouassaid
• M. Cherkaoui
• A. Nejmi
• M. Maaroufi

• Integral action
• Lyapunov Technique
• Non Linear Control
• Permanent Magnet Synchronous Motors
• Torque Control
• Stability.

[1] P. Pillay, R. Krishnan, "Modeling, simulation, and analysis of
permanent-magnet motor drives. I. The permanent-magnet synchronous
motor drive ", IEEE Trans. Industry Applications, Vol 25, N┬░2 Mar/Apr
1989 pp: 265-273.
[2] M. Rodic, K. Jezernik, " Speed Sensoless Sliding Mode Torque Control
of Induction Motor ", IEEE Trans on. Industrial Electronics, February
2002.
[3] M. F. Rahman, L. Zong and K. W. Lim, " A Direct Torque Controlled
Interior Permanent Magnet Synchronous Motor Drive Incorporating
Field Weakening ", IEEE Trans on. Industry Applications, Vol. 27, N┬░
5, Sep/Oct 1991, pp. 986-996.
[4] P. Sen, " Electric Motor Drives and Control- Past, Present, and Future ",
IEEE Trans on. Industrial Electronics, Vol. 34, N┬░6 ,
November/December 1998, pp. 1246-1253.
[5] Hisn-Jang Shieh and Kuo-Kai Shyu, "Non Linear Sliding Mode Torque
Control With Adaptive Backstepping Approach For Induction Motor
Drive", IEEE Transactions on Industrial Electronics, Vol. 46, N┬░ 2,
April 1999, pp. 380-388
[6] F. J. Lin, S. L. Chiu, and K. K. Shyu, " Novel Sliding Mode controller
for synchronous motor drive ", IEEE Trans. on Aerosp. Electron. Syst.
Vol. 34, April 1998, pp. 532-542.
[7] M. Krstic-, I. Kanellakopoulos, and P.V. Kokotovic-, Nonlinear and
Adaptive Control Design. New York: Wiley Interscience, 1995.