Accurate feedrate control of CNC machine tools along NURBS curves

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.