Stability of Current-Sensorless Control of Permanent Magnet Synchronous Motors

This study applies Lyapunov’s direct method to verify the stability of permanent magnet synchronous motors under singular perturbation control designs. The position and velocity controller designed herein does not require the current information of the motor for feedback purposes (current-sensorless), but the steady-state d-axis current can still be controlled to zero to minimize power dissipation. Combining Lyapunov’s linearization stability analysis, the relation between overall closed-loop stability and control gains of this controller is also revealed. Experimental results demonstrate the effectiveness of this current-sensorless controller. In addition, the performance of this current-sensorless controller is compared with that of a full-state feedback controller. Clearly, the proposed current-sensorless controller can achieve zero positioning error within the resolution of an optical encoder. However, the same result is less easy to achieve using a full-state feedback controller due to the noise effect on the current measurements.

[1]  Hassan K. Khalil,et al.  Singular perturbation methods in control : analysis and design , 1986 .

[2]  Seth R. Sanders,et al.  Speed-sensorless vector torque control of induction machines using a two-time-scale approach , 1996 .

[3]  David G. Taylor,et al.  Adaptive Regulation of Nonlinear Systems with Unmodeled Dynamics , 1988, 1988 American Control Conference.

[4]  Jorge A. Solsona,et al.  A nonlinear reduced order observer for permanent magnet synchronous motors , 1994, Proceedings of IECON'94 - 20th Annual Conference of IEEE Industrial Electronics.

[5]  Z. Retchkiman,et al.  Stability analysis of singularly perturbed systems via vector Lyapunov methods , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[6]  S.-J. Huang,et al.  Nonlinear tracking control of small electrical machines , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[7]  Jiunn-Jiang Chen,et al.  Automatic flux-weakening control of permanent magnet synchronous motors using a reduced-order controller , 2000 .

[8]  Petros A. Ioannou,et al.  Robust redesign of adaptive control , 1984 .

[9]  R. D. Lorenz,et al.  Rotor position and velocity estimation for a salient-pole permanent magnet synchronous machine at standstill and high speeds , 1998 .

[10]  Jiunn-Jiang Chen,et al.  Reduced-order control of permanent magnet synchronous motors , 1999, IECON'99. Conference Proceedings. 25th Annual Conference of the IEEE Industrial Electronics Society (Cat. No.99CH37029).

[11]  David G. Taylor,et al.  Sensorless velocity control of permanent-magnet synchronous motors , 1998, IEEE Trans. Control. Syst. Technol..

[12]  N. Matsui,et al.  Current model-based sensorless drives of salient-pole PMSM at low speed and standstill , 1997, IAS '97. Conference Record of the 1997 IEEE Industry Applications Conference Thirty-Second IAS Annual Meeting.

[13]  Jeffrey H. Lang,et al.  A state observer for the permanent-magnet synchronous motor , 1989 .

[14]  J.H. Lang,et al.  Real-time observer-based (adaptive) control of a permanent-magnet synchronous motor without mechanical sensors , 1991, Conference Record of the 1991 IEEE Industry Applications Society Annual Meeting.

[15]  Pyung-Hun Chang,et al.  A reduced order time-delay control for highly simplified brushless DC motor , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[16]  Thomas A. Lipo,et al.  Current sensorless field oriented control of synchronous reluctance motor , 1993, Conference Record of the 1993 IEEE Industry Applications Conference Twenty-Eighth IAS Annual Meeting.

[17]  Martin Corless,et al.  Robustness of output feedback for a class of singularly perturbed nonlinear systems , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[18]  J.H. Lang,et al.  Real-time adaptive control of the permanent-magnet synchronous motor , 1990, Conference Record of the 1990 IEEE Industry Applications Society Annual Meeting.

[19]  Hirofumi Akagi,et al.  An approach to real-time position estimation at zero and low speed for a PM motor based on saliency , 1996, IAS '96. Conference Record of the 1996 IEEE Industry Applications Conference Thirty-First IAS Annual Meeting.

[20]  S.-N. Yeh,et al.  Current sensorless field-oriented control of induction motors , 1996 .