Accurate feedrate control of CNC machine tools along NURBS curves

Chung Wei Cheng, Mi Ching Tsai, Jan Maciejowski

Research output: Contribution to journalConference article

10 Citations (Scopus)

Abstract

This paper presents a feedrate-controlled interpolator for accurate feedrate control of CNC machine tools along NURBS curves for precision CNC machining. Unlike most existing interpolators, usually based on the Taylor expansion, the proposed method uses an Adams-Moulton predictor-corrector algorithm instead. An upper bound on the sampling interval is established, which guarantees convergence of the corrector iterations (within each interval). Experimental results are presented to demonstrate the effectiveness of the proposed interpolator for machining curved paths defined by NURBS.

Original languageEnglish
Pages (from-to)3053-3058
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume3
Publication statusPublished - 2004 Dec 1
Event2004 43rd IEEE Conference on Decision and Control (CDC) - Nassau, Bahamas
Duration: 2004 Dec 142004 Dec 17

Fingerprint

NURBS
Machine Tool
Machine tools
Machining
Curve
Interval
Predictor-corrector
Corrector
Taylor Expansion
Sampling
Upper bound
Iteration
Path
Experimental Results
Demonstrate

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

Cite this

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Accurate feedrate control of CNC machine tools along NURBS curves. / Cheng, Chung Wei; Tsai, Mi Ching; Maciejowski, Jan.

In: Proceedings of the IEEE Conference on Decision and Control, Vol. 3, 01.12.2004, p. 3053-3058.

Research output: Contribution to journalConference article

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N2 - This paper presents a feedrate-controlled interpolator for accurate feedrate control of CNC machine tools along NURBS curves for precision CNC machining. Unlike most existing interpolators, usually based on the Taylor expansion, the proposed method uses an Adams-Moulton predictor-corrector algorithm instead. An upper bound on the sampling interval is established, which guarantees convergence of the corrector iterations (within each interval). Experimental results are presented to demonstrate the effectiveness of the proposed interpolator for machining curved paths defined by NURBS.

AB - This paper presents a feedrate-controlled interpolator for accurate feedrate control of CNC machine tools along NURBS curves for precision CNC machining. Unlike most existing interpolators, usually based on the Taylor expansion, the proposed method uses an Adams-Moulton predictor-corrector algorithm instead. An upper bound on the sampling interval is established, which guarantees convergence of the corrector iterations (within each interval). Experimental results are presented to demonstrate the effectiveness of the proposed interpolator for machining curved paths defined by NURBS.

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