A pre-compensation method of the systematic contouring error for repetitive command paths

Abstract

For a repetitive command path, pre-compensating the contouring error by modifying the command path is practical. To obtain the pre-compensation value with better accuracy, this paper proposes the use of a back propagation neural network to extract the function of systematic contouring errors. Furthermore, by using the extracted function, the contouring error can be easily pre-compensated. The experiment results verify that the proposed compensation method can effectively reduce contouring errors.

Keywords

contouring error / pre-compensation / motion control system / back propagation (BP) neural network

References

[1] Koren Y. Cross-coupled biaxial computer control for manufacturing system. Journal of Dynamic Systems Measurement and Control, 1980, 102(4): 265–272

[2] Su K, Cheng M. Contouring accuracy improvement using cross-coupled control and position error compensator. International Journal of Machine Tools & Manufacture, 2008, 48(12−13): 1444–1453

[3] Huo F, Poo A N. Improving contouring accuracy by using generalized cross-coupled control. International Journal of Machine Tools & Manufacture, 2012, 63: 49–57

[4] Lin X, Jiang S, Liu X,  The CMM measurement path planning for blade surface based on the contour measurement. In: Proceedings of 2011 Second International Conference on Digital Manufacturing & Automation (ICDMA). Zhangjiajie: IEEE, 2011, 1228–1232 

[5] Hwang J, Park C H, Lee C H,  Estimation and correction method for the two-dimensional position errors of a planar XY stage based on motion error measurements. International Journal of Machine Tools & Manufacture, 2006, 46(7−8): 801–810

[6] Zhang D, Yang J, Chen Y,  A two-layered cross coupling control scheme for a three-dimensional motion control system. International Journal of Machine Tools & Manufacture, 2015, 98: 12–20

[7] Lie T, Landers R G. Predictive contour control with adaptive feed rate. IEEE/ASME Transactions on Mechatronics, 2012, 17(4): 669–679

[8] Cheng M, Lee C. Motion controller design for contour following tasks based on real-time contour error estimation. IEEE Transactions on Industrial Electronics, 2007, 54(3): 1686–1695

[9] Zhang K, Yuen A, Altintas Y. Pre-compensation of contour errors in five-axis CNC machine tools. International Journal of Machine Tools & Manufacture, 2013, 74: 1–11

[10] Zhang D, Chen Y, Ai W,  Precision motion control of permanent magnet linear motors. International Journal of Advanced Manufacturing Technology, 2007, 35(3−4): 301–308

[11] Yeh S S, Hsu P L. Estimation of the contouring error vector for the cross-coupled control design. IEEE/ASME Transactions on Mechatronics, 2002, 7(1): 44–51

Acknowledgements

The work was supported by the National Natural Science Foundation of China (Grant No. 51005086).

RIGHTS & PERMISSIONS

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg