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TECHNICAL PAPERS

A Real-Time Predictor-Corrector Interpolator for CNC Machining

[+] Author and Article Information
Mi-Ching Tsai, Chung-Wei Cheng

Department of Mechanical Engineering, National Cheng Kung University, Tainan 701, TAIWAN Republic of China

J. Manuf. Sci. Eng 125(3), 449-460 (Jul 23, 2003) (12 pages) doi:10.1115/1.1578670 History: Received November 01, 2001; Online July 23, 2003
Copyright © 2003 by ASME
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References

Figures

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Machining method for parametric curves or surface segments
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The flowchart of proposed PCI
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A parametric curve represented in NURBS form
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Sufficient condition for the proposed PCI
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Iteration numbers of the corrector for the case of ε=0.1%
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The feedrate command errors caused by (a) first-order Taylor’s expansion (b) second-order Taylor’s expansion (c) PCI at ε=1.0% (d) PCI at ε=0.5% (e) PCI at ε=0.1%
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Trapezoidal velocity profile for variable feedrate control  
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The feedrate command generated by (a) first-order Taylor’s expansion (b) second-order Taylor’s expansion (c) PCI at ε=1.0% (d) PCI at ε=0.5% (e) PCI at ε=0.1%
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The block diagram of an experimental system
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Block diagram of the servo controller
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Feedrate and feedrate error along the curve path by different Taylor’s expansion interpolators (feedrate command=200 mm/s)
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Position tracking for the case of ε=0.1% using PCI (feedrate command=200 mm/s)
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Velocity tracking for the case of ε=0.1% using PCI (feedrate command=200 mm/s)

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