According to the all-pervading theory, the best strategy for multiaxis compliant control system is the famous hybrid movement/force control. Until now, the typical way to get it inclines to integrate force control with movement control into one numerical control (NC) interpolator. The more axes being taken for the interpolator, the lower calculating and computerizing speed and the greater errors are. Furthermore, the errors of movement control, including the position errors and pose errors, would inevitably disturb the processing of force control for their coupling relationship. In this paper, the orthogonal movement/force servo strategy is brought forward based on the orthogonality relation of force control and movement control. Combining with the processing of aspheric surfaces polishing, the paper develops a new three-axis computer numerical control (CNC) compliant polishing method and system by the hybrid orthogonal movement/force servomechanism, in which the force controlling and movement controlling are taken in its orthogonal complement space, respectively. Experiments show that this new polishing system is of great robustness for the change of slope and curvature of the aspheric surfaces and it can polish aspheric surfaces to get ultrasmooth surfaces at nanoscale.

References

1.
Yamazaki
,
T.
, 2000, “
Mother Machines Face the 21st Century
,”
Manuf. Eng.
,
124
(
1
), pp.
128
.
2.
Sun
,
W.
,
McBride
,
J. W.
, and
Hil
,
M.
, 2010, “
A New Approach to Characterising Aspheric Surfaces
,”
Precis. Eng.
,
34
(
1
), pp.
171
179
.
3.
Liu
,
Y.-T.
,
Chang
,
W.-C.
, and
Yamagata
,
Y.
, “
A Study on Optimal Compensation Cutting for an Aspheric Surface Using the Taguchi method
,” CIRP J. Manuf. Sci. Technol.,
3
(
1
), pp.
40
48
.
4.
Lee
,
E.-S.
, and
Baek
,
S.-Y.
, 2007, “
A Study on Optimum Grinding Factors for Aspheric Convex Surface Micro-Lens Using Design of Experiments
,”
Int. J. Mach. Tools Manuf.
,
47
(
3–4
), pp.
509
520
.
5.
Chen
,
F. J.
,
Yin
,
S. H.
,
Huang
,
H.
,
Ohmori
,
H.
,
Wang
,
Y.
,
Fan
,
Y. F.
, and
Zhu
,
Y. J.
, 2010, “
Profile Error Compensation in Ultra-Precision Grinding of Aspheric Surfaces With On-Machine Measurement
,”
Int. J. Mach. Tools Manuf.
,
50
(
5
), pp.
480
486
.
6.
Pan
,
C.-T.
,
Wu
,
T.-T.
,
Liu
,
Y.-T.
,
Yamagata
,
Y.
,
Huang
,
and J. C.
, 2009, “
Fabrication of Aspheric Surface Using Ultraprecision Cutting and BMG Molding
,”
J. Mater. Process. Technol.
,
209
(
11–21
), pp.
5014
5023
.
7.
Suzuki
,
H.
,
Hamada
,
S.
,
Okino
,
T.
,
Kondo
,
M.
,
Yamagata
,
Y.
, and
Higuchi
,
T.
, 2010, “
Ultraprecision Finishing of Micro-Aspheric Surface by Ultrasonic Two-Axis Vibration Assisted Polishing
,”
CIRP Ann.–Manuf. Technol.
,
59
(
1
), pp.
347
350
.
8.
Zhang
,
H.
, and
Paul
,
R. P.
, 1985, “
Hybrid Control of Robot Manipulators
,”
Proceedings of the IEEE International Conference on Robotics and Automation.
9.
Nagata
,
F.
,
Kusumoto
,
Y.
,
Watanabe
,
K.
,
Tsuda
,
K.
,
Yasuda
,
K.
,
Yokoyama
,
K.
,
Omoto
,
M.
, and
Miyako
,
H.
, 2004, “
Polishing Robot for PET Bottle Molds Using a Learning-Based Hybrid Position/Force Controller
,”
5th Asian Control Conference
, Vol.
2
.
10.
Donaldson
,
R.
, and
Patterson
,
S. R.
, 2003, “
Design and Construction of a Large Vertical Axis Diamond Turning Machine
,” Lawrence Livermore National Laboratory report
11.
Karayiannidis
,
Y.
,
Rovithakis
,
G.
, and
Doulgeri
,
Z.
, 2007, “
Force/position Tracking for a Robotic Manipulator in Compliant Contact With a Surface Using Neuro-Adaptive Control
,”
Automatica
,
43
(
7
), pp.
1281
1288
.
12.
Zhijun
,
L.
,
Weidong
,
C.
, and
Luo
,
J.
, 2008, “
Adaptive Compliant Force–Motion Control of Coordinated Non-Holonomic Mobile Manipulators Interacting With Unknown Non-Rigid Environments
,”
Neurocomputing
,
71
(
7–9
), pp.
1330
1344
.
13.
Liao
,
L.
,
Xi
,
F.
, and
Liu
,
K.
, 2008, “
Modeling and Control of Automated Polishing/Deburring Process Using a Dual-Purpose Compliant Toolhead
,”
Int. J. Mach. Tools Manuf.
,
48
(
12–13
), pp.
1454
1463
.
14.
Uda
,
Y.
,
Onuki
,
T.
,
Kamigaki
,
K.
,
Watakai
,
M.
,
Kato
,
T.
, and
Hashimoto
,
H.
, 1985, “
Ultra-Precision CNC Machine for Grinding, Turning, and Measuring Aspheric Components
,”
Precis. Eng.
,
7
(
4
), pp.
225
229
.
15.
Suzuki
,
H.
,
Moriwaki
,
T.
,
Okino
,
T.
, and
Ando
,
Y.
, 2006, “
Development of Ultrasonic Vibration Assisted Polishing Machine for Micro Aspheric Die and Mold
,”
CIRP Ann.–Manuf. Technol.
,
55
(
1
), pp.
385
388
.
16.
Zhao
,
J.
,
Zhan
,
J.
,
Jin
,
R.
, and
Tao
,
M.
, 2000, “
An Oblique Ultrasonic Polishing Method by Robot for Free-Form Surfaces
,”
Int. J. Mach. Tools Manuf.
,
40
(
6
), pp.
795
808
.
17.
Zhan
,
J. M.
,
Zhao
,
J.
,
Xu
,
S. X.
, and
Zhu
,
P. X.
, 2002, “
Study of the Control Force in Free-Form-Surfaces Compliant EDM Polishing by Robot
,”
J. Mater. Process. Technol.
,
129
(
1–3
), pp.
186
189
.
18.
Zhang
,
J.
,
Zhan
,
J.
, and
Bida
,
Lv.
, 2009, “
Development of Compliant Tool System of Digitalized Precision Polishing for Aspheric Surfaces
,”
Appl. Mech. Mater.
,
16–19
, pp.
244
248
.
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