This paper presents a predictor-corrector interpolator (PCI) for the CNC machining of parts with parametric curves or surfaces. In contrast to existing parametric interpolators, the proposed method uses a simple algorithm as a predictor and the current feedrate command feedback compensation scheme as the corrector. The predictor adjusts itself according to the current feedrate command feedback, it also has the capability of predicting the next reference point of the parametric curves from the current reference point. As a result, the deviations between the current and desired feedrate commands will always fall within the specified feedrate command tolerances. This study aims at developing the mathematical analysis of the PCI, where the convergence condition is derived for the corrector. In this present approach, the user can specify either constant or variable federate and also its feedrate command accuracy. Both the simulation and experiment results are presented to demonstrate the feasibility of the proposed PCI for machining the parametric curves represented in the Non-Uniform Rational B-Spline (NURBS) form.
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August 2003
Technical Papers
A Real-Time Predictor-Corrector Interpolator for CNC Machining
Mi-Ching Tsai,
Mi-Ching Tsai
Department of Mechanical Engineering, National Cheng Kung University, Tainan 701, TAIWAN Republic of China
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Chung-Wei Cheng
Chung-Wei Cheng
Department of Mechanical Engineering, National Cheng Kung University, Tainan 701, TAIWAN Republic of China
Search for other works by this author on:
Mi-Ching Tsai
Department of Mechanical Engineering, National Cheng Kung University, Tainan 701, TAIWAN Republic of China
Chung-Wei Cheng
Department of Mechanical Engineering, National Cheng Kung University, Tainan 701, TAIWAN Republic of China
Contributed by the Manufacturing Engineering Division for publication in the JOURNAL OF MANUFACTURING SCIENCE AND ENGINEERING. Manuscript received Nov. 2001. Associate Editor: T. R. Karfess.
J. Manuf. Sci. Eng. Aug 2003, 125(3): 449-460 (12 pages)
Published Online: July 23, 2003
Article history
Received:
November 1, 2001
Online:
July 23, 2003
Citation
Tsai , M., and Cheng, C. (July 23, 2003). "A Real-Time Predictor-Corrector Interpolator for CNC Machining ." ASME. J. Manuf. Sci. Eng. August 2003; 125(3): 449–460. https://doi.org/10.1115/1.1578670
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