Hostname: page-component-6d856f89d9-8l2sj Total loading time: 0 Render date: 2024-07-16T03:37:20.720Z Has data issue: false hasContentIssue false

A Path-Following Control Algorithm for Manufacturing Systems Based Upon the Decomposed Contour Error

Published online by Cambridge University Press:  05 May 2011

Hsin-Chiang Ho*
Affiliation:
Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan, R.O.C.
Jia-Yush Yen*
Affiliation:
Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan, R.O.C.
*
*Ph.D Candiate
**Professor
Get access

Abstract

We propose a new path following control algorithm. The algorithm decomposes the trajectory errors into tangential and normal components. The normal component minimizes the tracking error, while the tangential component maintains the desired speed. Experimental results using an X-Y table indicate that the proposed method possesses satisfactory tracking characteristics. It resolves certain previously difficult to control problems.

Type
Articles
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 1998

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Koren, Y., “Cross-Coupled Biaxial Computer Control for Manufacturing Systems,” ASME Journal of Dynamic Systems, Measurement, and Control, Dec., Vol. 102, pp. 265272 (1980).CrossRefGoogle Scholar
2.Koren, Y., “Design of Computer Control for Manufacturing Systems,” ASME, Journal of Engineering for Industry, Vol. 101, pp. 326332 (1979).CrossRefGoogle Scholar
3.Sarachik, P., and Ragazzini, J. R., “A Two Dimensional Feedback Control System,” Trans. AIEE, Vol. 76, Part II, May, pp. 5561 (1957).Google Scholar
4.Koren, Y. and Lo, Ch.-Ch., “Variable-Gain Cross-Coupling Controller for Contour,” Annals of the CIRP, Vol. 40/1, pp. 371373 (1991).CrossRefGoogle Scholar
5.Koren, Y. and Lo, C. C, “Advanced Controllers for Feed Drives,” Annals of the CIRP, Vol. 41/2, pp. 686698(1992).Google Scholar
6.Chuang, H. Y. and Liu, C. H., “Cross-Coupled Adaptive Feedrate Control for Multiaxis Machine Tools,” ASME, Journal of Dynamic Systems, Measurement and Control, Vol. 106, pp. 451457 (1991).CrossRefGoogle Scholar
7.Kulkarni, P. K. and Srinivasan, K., “Cross-Coupled Control of Biaxial Feed Drive Servomechanisms,” ASME, Journal of Dynamic Systems, Measurement and Control, Vol. 112, No, 2, pp. 225232 (1990).Google Scholar
8.Tsao, T. C. and Tomizuka, M., “Adaptive Zero Phase Error Tracking Algorithm for Digital Control,” ASME Journal of Dynamic Systems, Measurement and Control, Vol. 109, pp. 349354 (1988).CrossRefGoogle Scholar
9.Bulter, J., Haack, B., and Tomizuka, M., “Reference Generation for High Speed Coordinated Motion of a Two Axis System,” ASME Journal of Dynamic Systems, Measurement and Control, Vol. 113, No.1, pp. 6774(1991).Google Scholar
10.Tomizuka, M., Hu, J. S., Chiu, T. C, and Kamano, T., “Synchronization of Two Motion Control Axes Under Adaptive Feedforward Control,” ASME Journal of Dynamic Systems, Measurement and Control, Vol. 114, pp. 196203 (1992).CrossRefGoogle Scholar
11.Kulkarni, P. K., and Srinivasan, K., “Optimal Contouring Control of Multi-Axial Feed Drive Servomechanisms,” ASME Journal of Engineering for Industry, Vol. 111, pp. 140148 (1989).CrossRefGoogle Scholar
12.Hunag, J. T. and Yang, D. C. H., “Precision Command Generation for Computer Controlled Machines,” Precision Machining: Technology and Machine Development and Improvement, PED-Vol. 58, ASME (1992).Google Scholar
13.Stadelmann, R., “Computation of Nominal Path Values to Generate Various Special Curves for Machine,” Annals of the CIRP, Vol. 38/1, pp. 373376(1989).CrossRefGoogle Scholar
14.Masory, O. and Koren, Y., “Reference Word Circular Interpolators for CNC Systems,” ASME Journal of Engineering for Industry, Vol. 104, pp. 400405(1982).CrossRefGoogle Scholar