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A digital signal processor-based cross-coupled functional link (FL) radial basis function network (FLRBFN) control is proposed in this study for the synchronous control of a dual linear motors servo system that is installed in a gantry position stage. The dual linear motors servo system comprises two parallel permanent magnet linear synchronous motors (PMLSMs). First, the dynamics of the field-oriented control PMLSM servo drive with a lumped uncertainty, which contains parameter variations, external disturbance and friction force, is introduced. Then, to achieve accurate trajectory tracking performance with robustness, an intelligent control approach using FLRBFN is proposed for the field-oriented control PMLSM servo drive system. The proposed FLRBFN is a radial basis function network embedded with a FL neural network. Moreover, to guarantee the convergence of the FLRBFN, a discrete-type Lyapunov function is provided to determine the varied learning rates of the FLRBFN. In addition, since a cross-coupled technology is incorporated into the proposed intelligent control scheme for the gantry position stage, both the position tracking errors and synchronous errors of dual linear motors will converge to zero, simultaneously. Finally, some experimental results are illustrated to depict the validity of the proposed control approach.
References
-
-
1)
-
F.J. Lin ,
P.H. Shen ,
P.H. Chou ,
S.L. Yang
.
TSK-type recurrent fuzzy network for DSP-based permanent magnet linear synchronous motor servo drive.
IEE Proc. Electr. Power Appl.
,
6 ,
921 -
931
-
2)
-
D. Sun
.
Position synchronization of multiple motion axes with adaptive coupling control.
Automatica
,
3 ,
997 -
1005
-
3)
-
F.J. Lin ,
R.J. Wai ,
C.C. Lee
.
Fuzzy neural network position controller for ultrasonic motor drive using push-pull DC–DC converter.
IEE Proc. Control Theory Appl.
,
1 ,
99 -
107
-
4)
-
P.H. Shen ,
F.J. Lin
.
Intelligent backstepping sliding-mode control using RBFN for two-axis motion control system.
IEE Proc. Electr. Power Appl.
,
5 ,
1321 -
1342
-
5)
-
He, P., Gao, W., Jaganathan, S.: `Neuro control of nonlinear discrete time systems with deadzone and input constraints', 2006 IEEE Int. Conf. Control Application, p. 2836–2841.
-
6)
-
Chen, C.H., Lin, C.T., Lin, C.J.: `A functional-link-based fuzzy neural network for temperature control', 2007 Proc. IEEE Foundations of Computational Intelligence Conf., p. 53–58.
-
7)
-
S. Chen ,
X. Hong ,
C.J. Harris
.
Sparse multioutput radial basis function network construction using combined locally regularised orthogonal least square and D-optimality experimental design.
IEE Proc. Control Theory Appl.
,
2 ,
136 -
146
-
8)
-
F.L. Lewis ,
S. Jagannathan ,
A. Yesilderek
.
(1999)
Neural network control of robot manipulators and nonlinear systems.
-
9)
-
G. Ferretti ,
G. Magnani ,
P. Rocco
.
Single and multistate integral friction models.
IEEE Trans. Autom. Control
,
12 ,
2292 -
2297
-
10)
-
S.J. Yoo ,
Y.H. Choi ,
J.B. Park
.
Generalized predictive control based on self-recurrent wavelet neural network for stable path tracking of mobile robots: adaptive learning rates approach.
IEEE Trans. Circuits Syst.
,
6 ,
1381 -
1395
-
11)
-
A. Rodriguez-Angeles ,
H. Nijmeijer
.
Mutual synchronization of robots via estimated state feedback: a cooperative approach.
IEEE Trans. Control Syst. Technol
,
4 ,
542 -
554
-
12)
-
R.J. Wai ,
C.M. Li
.
Design of dynamic Petri recurrent fuzzy neural network and its application to path-tracking control of nonholonomic mobile robot.
IEEE Trans. Ind. Electron.
,
7 ,
2667 -
2683
-
13)
-
I. Boldea ,
S. Nasar
.
(1997)
A. Linear electric acturators and generators.
-
14)
-
T.L. Chien ,
C.C. Chen ,
Y.C. Huang ,
W.J. Lin
.
Stability and almost disturbance decoupling analysis of nonlinear system subject to feedback linearization and feedforward neural network controller.
IEEE Trans. Neural Netw.
,
7 ,
1220 -
1230
-
15)
-
K.A. Toh ,
W.Y. Yau
.
Fingerprint and speaker verification decisions fusion using a functional link network.
IEEE Trans. Syst. Man Cybern. C
,
3 ,
357 -
370
-
16)
-
O. Sawodnya ,
H. Aschemannb ,
S. Lahres
.
An automated gantry crane as a large workspace robot.
Control Eng. Pract.
,
1323 -
1338
-
17)
-
D. Sun ,
G. Feng ,
C.M. Lam ,
H. Dong
.
Orientation control of a differential mobile robot through wheel synchronization.
IEEE/AMSE Trans. Mechatronics
,
3 ,
345 -
351
-
18)
-
X. Hong
.
Modified radial basis function neural network using output transformation.
IET Control Theory Appl.
,
1 ,
1 -
8
-
19)
-
J.S.R. Jang ,
C.T. Sun
.
Functional equivalence between radial basis function networks and fuzzy inference systems.
IEEE Trans. Neural Netw.
,
1 ,
156 -
159
-
20)
-
C.C. Chen ,
C.H. Hsu ,
Y.J. Chen ,
Y.F. Lin
.
Disturbance attenuation of nonlinear control systems using an observer-based fuzzy feedback linearization control.
Chaos Solitons Fractals
,
885 -
900
-
21)
-
Singh, A., Vance, J.B., Kaul, B., Jagannathan, S., Drallmeier, J.: `Neural network control of spark ignition engines with high EGR levels', 2006 IEEE Int. Joint Conf. on Neural Network, p. 4978–4985.
-
22)
-
W. Yu ,
X. Li
.
Nonlinear system identification using discrete-time recurrent neural networks with stable learning algorithms.
Inf. Sci.
,
131 -
147
-
23)
-
D. Zhao ,
S. Li ,
F. Gao ,
Q. Zhu
.
Robust adaptive terminal sliding mode-based synchronized position control for multiple motion axed systems.
IET Control Theory Appl.
,
1 ,
136 -
150
-
24)
-
J.C. Patra ,
R.N. Pal
.
A functional link artificial neural network for adaptive channel equalization.
Signal Process.
,
181 -
195
-
25)
-
Kim, S., Chu, B., Hong, D., Park, H.K., Park, J.M., Cho, T.Y.: `Synchronizing dual-drive gantry of chip mounter with LQR approach', 2003 IEEE Int. Conf. on Advanced Intelligent Mechatronics, p. 838–843.
-
26)
-
M.T. Yan ,
M.H. Lee ,
P.L. Yen
.
Theory and application of a combined self-tuning adaptive control and cross coupling control in a retrofit milling machine.
IEEE/ASME Trans. Mechatronics
,
2 ,
193 -
211
-
27)
-
J.-S.R. Jang ,
C.-T. Sun ,
E. Mizutani
.
(1997)
Neuro-fuzzy and soft computing: a computational approach to learning and machine intelligence.
-
28)
-
C.C. Ku ,
K.Y. Lee
.
Diagonal recurrent neural networks for dynamic systems control.
IEEE Trans. Neural Netw.
,
1 ,
144 -
156
-
29)
-
J.C. Patra ,
A.C. Kot
.
Nonlinear dynamic system identification using Chebyshev functional link artificial neural networks.
IEEE Trans. Syst. Man Cybern. B
,
4 ,
505 -
511
-
30)
-
S. Jagannathan
.
(2006)
Neural network control of nonlinear discrete-time systems.
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