In this paper, a new approach of motion coordination of two axes systems in the presence of actuator saturation is proposed. The proposed approach includes two parts: feedback controller and on-line trajectory planning. The feedback controller is designed using an anti-windup design to reduce the degradation in performance of each axis when saturation occurs. An on-line trajectory planning algorithm is also proposed to maintain the contouring accuracy during saturation periods. The desired outputs for X- and Y-axis are given as sequences of points. When the actuator of any axis is predicted to saturate, an appropriate number of points are inserted in the original sequence to slow down the motion. The effectiveness of the proposed approach is studied by simulation of a two-axis Cartesian positioning system.

1.
Tomizuka, M., and Rosenthal, D., 1978, “On the optimal digital state vector feedback controller with integral and preview actions,” Proc. of 1978 Joint Automatic Control Conference, pp. 155–168, 1978.
2.
Tomizuka
,
M.
,
1987
, “
Zero phase error tracking algorithm for digital control
,”
ASME J. Dyn. Syst., Meas., Control
,
109
, pp.
65
68
.
3.
Bobrow
,
S. D. J.
, and
Gibson
,
J.
,
1985
, “
Time-optimal control of robotic manipulators along specified paths
,”
Int. J. Robot. Res.
,
4
, No.
3
, pp.
3
17
.
4.
Shin
,
E.
, and
McKay
,
N.
,
1985
, “
Minimum-time control of robotic manipulator with geometric path constraints
,”
IEEE Trans. Autom. Control
,
AC-30
, pp.
531
541
.
5.
Butler
,
B. H. J.
, and
Tomizuka
,
M.
,
1991
, “
Reference input generation for high speed coordinated motion of a two axis system
,”
ASME J. Dyn. Syst., Meas., Control
,
113
, pp.
67
74
.
6.
Koren
,
Y.
,
1980
, “
Cross-coupled biaxial computer controls for manufacturing systems
,”
ASME J. Dyn. Syst., Meas., Control
,
102
, pp.
265
272
.
7.
Kulkarni
,
P.
, and
Srinivasan
,
K.
,
1990
, “
Cross-coupled control of biaxial feed drive servomechanisms
,”
ASME J. Dyn. Syst., Meas., Control
,
112
, pp.
225
232
.
8.
Huang
,
L.-J.
, and
Tomizuka
,
M.
,
1990
, “
A self-paced fuzzy tracking controller for two-dimensional motion control
,”
IEEE Trans. Syst. Man Cybern.
,
20
, No.
5
, pp.
1115
1124
.
9.
Niu
,
W.
, and
Tomizuka
,
M.
,
2000
, “
An anti-windup design for linear system with asymptotic tracking subjected to actuator saturation
,”
ASME J. Dyn. Syst., Meas., Control
,
122
, No.
2
, pp.
369
374
.
10.
Chiu
,
T.-C.
, and
Tomizuka
,
M.
,
1998
, “
Coordination control of multiple axes mechanical systems
,”
ASME J. Dyn. Syst., Meas., Control
,
120
, No.
3
, pp.
389
393
.
11.
Kapoor, N., Teel, A., and Daoutidis, P., 1996, “On anti-integrator-windup and global asymptotic stability,” Proc. of the 14th IFAC World Congress, San Francisco, pp. 67–72.
12.
A˚stro¨m, K., and Wittenmark, B., 1984, Computer-Controlled Systems Theory and Design, Englewood Cliffs, Prentice-Hall, NY, Prentice-Hall.
13.
Niu, W., 1998, “Coordinated Motion Control Subjected to Actuator Saturation,” PhD thesis, University of California at Berkeley, Berkeley, CA.
14.
Almajed, M., 1997, “High Performance Machine Tool Controllers—A Control Theoretic Study and a PC-Based Realization,” PhD thesis, University of California at Berkeley, Berkeley, CA.
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