Measurement and compensation of pitch error based on GMA with elimination of its hysteresis

This paper proposes a pitch error compensation technique with decomposition of mechanical signals based on giant magnetostrictive actuator (GMA) to eliminate tool tracking errors and to reach a high machining precision. In ultra-precision cutting, grinding and nontraditional machining, there is a difficult problem for achieving long travel and high precision. Considering the characteristics of giant magnetostrictive materials (GMM), a micro-displacement GMA with a flexure hinge micro-motion table is designed, and used for error compensation. The inherent hysteresis nonlinearity of the GMA is controlled effectively by a sliding mode robust adaptive controller (SMC). Aiming at reducing the positioning error of a precision working table driven by an AC servo motor, the measurement of the dynamical characteristics of the system is carried out by a laser interferometer. The leadscrew pitch error, which accounts for most of the error detected, is separated out by an improved signal filter algorithm. Experimental results show that the positioning error is reduced to an extent within ±8 μm from ±20 μm after compensation, which demonstrates the feasibility of the control and compensation method.

[1]  Marc Kamlah,et al.  High-field dielectric and piezoelectric performance of soft lead zirconate titanate piezoceramics under combined electromechanical loading , 2004 .

[2]  Liu Qiang,et al.  Robust Nonlinear Friction Compensation of Mechanical Servo System with Time Variable Parameters , 2003 .

[3]  N. Huang,et al.  The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis , 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[4]  Fan Y. Chen Mechanics and Design of Cam Mechanisms , 1982 .

[5]  Mel J. Goodfriend,et al.  High-force high-strain wide-bandwidth linear actuator using the magnetostrictive material Terfenol-D , 1992, Other Conferences.

[6]  Paolo Nistri,et al.  Mathematical Models for Hysteresis , 1993, SIAM Rev..

[7]  Xingsong Wang,et al.  Hysteresis compensation in GMA actuators using Duhem model , 2008, 2008 7th World Congress on Intelligent Control and Automation.

[8]  J. Paros How to design flexure hinges , 1965 .

[9]  Norbert Michael Mayer,et al.  A multiscale polynomial filter for adaptive smoothing , 2007, Digit. Signal Process..

[10]  Weiqi Wang,et al.  Second-order sliding mode tracking control for the piezoelectric actuator with hysteretic nonlinearity , 2013 .

[11]  A. Kaveh,et al.  Parameter identification of Bouc-Wen model for MR fluid dampers using adaptive charged system search optimization , 2012 .

[12]  C. Natale,et al.  Feedback control systems for micropositioning tasks with hysteresis compensation , 2004, IEEE Transactions on Magnetics.

[13]  D. Davino,et al.  Phenomenological dynamic model of a magnetostrictive actuator , 2004 .

[14]  Chun-Yi Su,et al.  Adaptive Robust Control of Dynamic Systems with Unknown Input Hysteresis , 2003, 2003 4th International Conference on Control and Automation Proceedings.

[15]  B. D. Coleman,et al.  A constitutive relation for rate-independent hysteresis in ferromagnetically soft materials , 1986 .

[16]  Cui Yu Causes for hysteresis and nonlinearity of piezoelectric ceramic actuators , 2003 .

[17]  Carlos Canudas de Wit,et al.  A survey of models, analysis tools and compensation methods for the control of machines with friction , 1994, Autom..

[18]  A. Savitzky,et al.  Smoothing and Differentiation of Data by Simplified Least Squares Procedures. , 1964 .

[19]  H. H. Madden Comments on the Savitzky-Golay convolution method for least-squares-fit smoothing and differentiation of digital data , 1976 .

[20]  Ciro Visone,et al.  Identification and compensation of Preisach hysteresis models for magnetostrictive actuators , 2001 .

[21]  Y. S. Tarng,et al.  A study of backlash on the motion accuracy of CNC lathes , 1996 .

[22]  Daniele Davino,et al.  A fast compensation algorithm for real-time control of magnetostrictive actuators , 2005 .