Observer-based variable structure control in microstepping for permanent magnet stepper motors

In this paper, we propose observer-based variable structure control (VSC) in microstepping for permanent magnet stepper motors (PMSMs) without position feedback. The back-emfs of the currents dynamics are defined as the disturbance terms. The observers for the back-emf estimation are designed. The proposed observers are in the form of the high pass filter. Observer-based VSC is developed to guarantee local exponential stability of the desired currents for microstepping by only currents feedback. The proposed controller is robust to back-emf. The proposed controller does not require any transformation so that it could reduce the commutation delay. Experimental results show that the proposed method results in improvement in position tracking over the microstepping with proportional and integral current feedback. Since proposed method guarantees local exponential stability of the desired currents required for microstepping, overall more than 60% improvement in tracking error was obtained in experimental results. And the tracking error ripple is also reduced.

[1]  Chung Choo Chung,et al.  A Lyapunov method in microstepping control for Permanent Magnet stepper motors , 2009, 2009 IEEE International Conference on Mechatronics.

[2]  R. H. Park,et al.  Two-reaction theory of synchronous machines generalized method of analysis-part I , 1929, Transactions of the American Institute of Electrical Engineers.

[3]  Riccardo Marino,et al.  Nonlinear adaptive control of permanent magnet step motors , 1995, Autom..

[4]  Hebertt Sira-Ramírez,et al.  A PASSIVITY PLUS FLATNESS CONTROLLER FOR THE PERMANENT MAGNET STEPPER MOTOR , 2000 .

[5]  Mehdi Behzad,et al.  Investigation of the micro-step control positioning system performance affected by random input signals , 2005 .

[6]  Akira Sugawara,et al.  Stepping motors and their microprocessor controls , 1994 .

[7]  John N. Chiasson,et al.  High-performance nonlinear feedback control of a permanent magnet stepper motor , 1993, IEEE Trans. Control. Syst. Technol..

[8]  Marc Bodson,et al.  Spontaneous speed reversals in stepper motors , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[9]  Prashanth Krishnamurthy,et al.  Modeling and Adaptive Nonlinear Control of Electric Motors , 2003 .

[10]  Wilfrid Perruquetti,et al.  Observer-based second order sliding mode control laws for stepper motors , 2008 .

[11]  Prashanth Krishnamurthy,et al.  An Analysis of the Effects of Closed-Loop Commutation Delay on Stepper Motor Control and Application to Parameter Estimation , 2008, IEEE Transactions on Control Systems Technology.

[12]  Masayoshi Tomizuka,et al.  Pivot Friction Compensation Using an Accelerometer and a Disturbance Observer for Hard Disk Drives , 1997, 8th International Symposium on Information Storage and Processing Systems.

[13]  A. Alasty,et al.  Design and real-time experimental implementation of gain scheduling PID fuzzy controller for hybrid stepper motor in micro-step operation , 2004, Proceedings of the IEEE International Conference on Mechatronics, 2004. ICM '04..

[14]  Takashi Kenjo,et al.  Stepping Motors and Their Microprocessor Controls , 1984 .

[15]  John Chiasson,et al.  High performance nonlinear feedback control of a permanent magnet stepper motor , 1992, [Proceedings 1992] The First IEEE Conference on Control Applications.

[16]  G. Baluta Microstepping Mode for Stepper Motor Control , 2007, 2007 International Symposium on Signals, Circuits and Systems.

[17]  N. Shivarov,et al.  Control of Stepping Motors Driving Educational Robots via Personal Computer , 1990, Proceedings of the IEEE International Workshop on Intelligent Motion Control.

[18]  John Chiasson,et al.  Modeling and High Performance Control of Electric Machines , 2005 .