A design method for digital tracking control is described and applied to control an arm robot with structured uncertainties. A two-degree-of-freedom control system configuration provides the desired feedback and input-output performances independently. Regarding controller design, first, sampled-data H control and linear matrix inequality approaches are used to design a reduced-order output feedback controller. Then, the feedforward controller is parameterized based on the feedback controller, with the free parameter being chosen based on a preview strategy.

1.
Vidyasagar, M., 1985, Control System Synthesis: A Factorization Approach, MIT Press.
2.
Hara
,
S.
, and
Sugie
,
T.
,
1988
, “
Independent Parameterization of Two-Degree-of-Freedom Compensators in General Robust Tracking Systems
,”
IEEE Trans. Autom. Control
,
33
, pp.
59
67
.
3.
Bamieh
,
B. A.
, and
Pearson
,
J. B.
,
1992
, “
A General Framework for Linear Periodic Systems With Applications to H∞ Sampled-Data Control
,”
IEEE Trans. Autom. Control
,
37
, pp.
418
435
.
4.
Kabamba
,
P. T.
, and
Hara
,
S.
,
1993
, “
Worst-Case Analysis and Design of Sampled-Data Control Systems
,”
IEEE Trans. Autom. Control
,
38
, pp.
1337
1357
.
5.
Jayasuriya, S., and Tomizuka, M., 1992, “Generalized Feedforward Controllers, Perfect Tracking and Zero Phase Error,” Japan/USA Symp. on Flexible Automation, 1, pp. 511–514.
6.
Tomizuka
,
M.
,
1993
, “
On the Design of Digital Tracking Controllers
,”
ASME J. Dyn. Syst., Meas., Control
,
115
, pp.
412
418
.
7.
Tsao
,
T.-C.
,
1994
, “
Optimal Feed-Forward Digital Tracking Controller Design
,”
ASME J. Dyn. Syst., Meas., Control
,
116
, pp.
583
692
.
8.
Xin
,
X.
,
Guo
,
L.
, and
Feng
,
C.
,
1996
, “
Reduced-Order Controllers for Continuous and Discrete-Time Singular H∞ Control Problems Based on LMI
,”
Automatica
,
32
, pp.
1581
1585
.
9.
Ohyama, Y., She, J.-H., and Watanabe, K., 1999, “A Prototype Internet Experiment System for Control Engineering,” IEEE Int. Conf. on Systems, Man, and Cybernetics, 1, pp. 894–898.
10.
Sivashankar
,
N.
, and
Khargonekar
,
P. P.
,
1993
, “
Robust Stability and Performance Analysis of Sampled-Data Systems
,”
IEEE Trans. Autom. Control
,
38
, pp.
58
69
.
11.
Gahinet
,
P.
, and
Apkarian
,
P.
,
1994
, “
A Linear Matrix Inequality Approach to H∞ Control
,”
Int. J. Robust Nonlinear Control
,
4
, pp.
421
448
.
You do not currently have access to this content.