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Table 2 Performance indexes of difference methods for the 3D circular trajectory

From: Pre-compensation of Friction for CNC Machine Tools through Constructing a Nonlinear Model Predictive Scheme

Controllers

Tracking errors of X axis

Tracking errors of Y axis

Tracking errors of Z axis

Contour errors

|e|max

|e|rms

|e|max

|e|rms

|e|max

|e|rms

|ε|max

|ε|rms

P-PI (\(\upmu\)m)

63.3

12.7

65.6

13.7

67.6

13.2

67.3

22.3

P-PI + TEFC (\(\upmu\)m)

33.8

9.2

36.6

10.6

43.7

11.0

43.2

17.0

P-PI + LFC (\(\upmu\)m)

30.4

3.6

35.3

4.2

34.1

4.8

49.0

6.8

P-PI + NMPFP (\(\upmu\)m)

21.0

4.7

19.7

4.1

18.3

3.0

20.9

6.6