Diamond turning of brittle materials such as glass, ceramic, germanium, and zinc sulfide has been of considerable research interest in recent years due to applications in optics and precision engineering systems. When diamond turning brittle materials, material removal should be kept within the ductile regime to avoid subsurface damage (Evans, 1991; Nakasuji et al., 1990). It is generally accepted that ductile regime machining of brittle materials can be accomplished using extremely low depth of cut and feed rates. Furthermore, the tool positioning accuracy of the machine must be in the nanometer range to obtain optical quality machined parts with surface finish and profile accuracy on the order of 10 nm and 100 nm respectively (Nakasuji et al, 1990, Ueda et al., 1991). Nanometric level positioning accuracy of the machine tool axes is difficult particularly at low feed rates due to friction and backlash. Friction at extremely low feed rates is highly nonlinear due to the transition from stiction to Coulomb friction, and as such is very difficult to model. Standard proportional-integral-derivative (PID) type controllers are unable to deal with this large and erratic friction within the requirements of ultra precision machining. In order to compensate the effects of friction in the machine tool axes, a learning controller based on the Cerebellar Model Articulation Controller (CMAC) neural network is studied for servo-control. The learning controller was implemented using “C” language on a DSP based controller for a single point diamond turning machine. The CMAC servo control algorithm improved the positioning accuracy of the single point diamond turning machine by a factor of 10 compared to the standard PID algorithm run on the same machine and control system hardware.

1.
Albus, J., 1975, “A new approach to manipulator control: the Cerebellar Model Articulation Controller (CMAC),” ASME JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT, AND CONTROL, Sept. pp. 220–227.
2.
Blackley
W. S.
, and
Scattergood
R. O.
,
1991
, “
Ductile Regime Machining Model for Diamond Turning of Brittle Materials
,”
Precision Engineering
, Vol.
13
, No.
2
, pp.
95
103
.
3.
Cetinkunt, S., Donmez, A., 1993, “CMAC Learning Controller for Servo Control of High Precision Machine Tools,” Proceedings of the American Control Conference June, San Francisco, CA, pp. 1976–1980.
4.
Cetinkunt, S., Yu, W. L., Filliben, J., and Donmez, A., 1992, “Friction Characterization Experiments for Precision Machine Tool Control at Very Low Speeds,” 1992 American Control Conference, June 24–26, Chicago, IL, pp. 404–408.
5.
Chen, F. C., and Chang, C. H., 1996, “Practical Stability Issues in CMAC Neural Network Control Systems,” IEEE Trans. on Control Systems Technology, Vol. 4, No. 1, Jan.
6.
Donmez
A.
,
Blomquist
D. S.
,
Hocken
R. J.
,
Liu
C. R.
, and
Barash
M. M.
,
1986
, “
A general methodology for machine tool accuracy enhancement by error compensation
,”
Precision Engineering
, Oct, Vol.
8
, No.
4
, pp.
187
196
.
7.
Dupont, P. E., and Armstrong-Helouvry, B., 1993, “Friction in Robotic Manipulation and Assembly,” Tutorial S1, IEEE International Conference on Robotics and Automation, May 2–7.
8.
Evans
C.
,
1991
, “
Cryogenic Diamond Turning of Stainless Steel
,”
CIRP Annals
, Vol.
40/1
, pp.
571
575
.
9.
Gilbart
J. W.
, and
Winston
G. C.
,
1974
, “
Adaptive Compensation for an Optical Tracking Telescope
,”
Automatica
, Vol.
10
, pp.
125
131
.
10.
Halling, J., (ed.), 1989, Principles of Tribology, Macmillan Education LTD.
11.
Larsen
G. A.
,
Cetinkunt
S.
, and
Donmez
A.
,
1995
, “
CMAC Neural Network Control for High Precision Motion Control in Presence of Large Friction
,”
ASME JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT, AND CONTROL
, Vol.
117
, No.
3
, pp.
415
420
.
12.
Larsen
G. A.
,
Ku
S. S.
, and
Cetinkunt
S.
,
1994
, “
Initial experiments in High Precision Motion Control Using CMAC Learning Control Algorithm
,”
Dynamic Systems and Control
, Vol.
2
, ASME ACC, pp.
873
878
.
13.
Masuda
M.
,
Maeda
Y.
,
Nishiguchi
T.
, and
Sawa
M.
,
1989
, “
A Study on Diamond Turning of Al-Mg Alloy—Generation Mechanism of Surface Machined with Worn Tool
,”
Annals of the CIRP.
Vol.
38/1
, pp.
111
114
.
14.
Miller
W. T.
,
Glanz
F. H.
, and
Kraft
L. G.
,
1987
, “
Application of a Generalized Learning Algorithm to Control of Robotic Manipulators
,”
International Journal of Robotic Research
, Vol.
612
, Summer, pp.
84
98
.
15.
Nakasuji
T.
,
Kodera
S.
,
Hara
H.
,
Ikawa
N.
, and
Shimada
S.
,
1990
, “
Diamond Turning of Brittle Materials for Optical Components
,”
Annals of the CIRP
, Vol.
39/1
, pp.
89
92
.
16.
Osaka, T., Unno, K., Tsuboi, A., Maeda, Y., and Takeuchi, K., 1991, “Development of High-Precision Aspheric Grinding/Turning Machine,” Progress in Precision Engineering, IPES 6, Eds.
17.
Pinsopon
U.
,
Larsen
G.
,
Nakajima
S. I.
, and
Cetinkunt
S.
,
1996
, “
Realtime CMAC Neural Network Control of a Piezo-electric Actuated Toolpost with Disturbance Decoupled Observer
,”
ASME IMECE-DSC-
, Vol.
58
, pp.
325
331
.
18.
Schinker
M. G.
,
1991
, “
Subsurface Damage Mechanisms at High Speed Ductile Machining of Optical Glasses
,”
Journal of the American Society for Precision Engineering
, Vol.
13
. No.
3
pp.
208
218
.
19.
Ueda
K.
,
Amano
A.
,
Ogawa
K.
,
Takamatsu
H.
, and
Sakuta
S.
,
1991
, “
Machining High Precision Mirrors Using Newly Developed CNC Machine
,”
CIRP Annals
, Vol.
40/1
, pp.
554
558
.
20.
Winger, R. E., Lettington, A. H., and Stillwell, P. F. T. C, 1990, “Diamond Machining of Flats and Aspherics,” Infrared Technology and Applications Wembley Conference Center, June.
21.
Wong, Y. F., and Sideris, A., 1992, “Learning Convergence in the Cerebellar Model Articulation Controller,” IEEE Transactions on Neural Networks, Vol. 3, No. 1, Jan.
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