This paper develops a new algorithm to solve the model matching problem in cases where the feedback dynamics should be taken into account in the design of the closed-loop system. One of the main features of the new method is that the matching is carried out by moment matching and is therefore approximate. The new algorithm is computationally simple and it permits the designer to choose relatively simple structures for the reference model and the controller. Numerical examples are included to illustrate the new approach.

1.
Aguirre
L. A.
, “
Computer-aided analysis and design of control systems using model approximation techniques
,”
Computer Methods in Applied Mechanics and Engineering
, Vol.
114
(
3/4
), pp.
273
294
, Apr.
1994
.
2.
Aguirre
L. A.
, “
Matrix formulae for open and closed-loop approximate model matching in frequency domain
,”
Int. J. Systems Sci.
, Vol.
26
(
11
), pp.
2069
2089
,
1995
.
3.
Aguirre
L. A.
, “
Robust reference models for delayed systems
,”
Proc. Instn. Mech. Engrs. Part I
, Vol.
208
(
2
), pp.
197
199
,
1994
.
4.
Alter
D. M.
and
Tsao
T. C.
, “
Two-dimensional exact model matching with application to repetitive control
,”
ASME JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL
, Vol.
116( )
, pp.
2
9
,
1994
.
5.
Chen
B. S.
and
Yang
T. Y.
, “
Robust optimal model matching control design for flexible manipulators
,”
ASME JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL
, Vol.
115( )
, pp.
173
178
,
1993
.
6.
Chen
C. T.
and
Seo
B.
, “
The inward approach in the design of control systems
,”
IEEE Trans. Education
, Vol.
33
(
3
), pp.
270
278
,
1990
.
7.
De Moor
B.
,
David
J.
,
Vandewalle
J.
,
De Moor
M.
, and
Berckmans
D.
, “
Trade-offs in linear control system design: a practical example
.”
Optimal Control Applications & Methods
, Vol.
13
( ), pp.
121
144
,
1992
.
8.
Y. T. Hsu, Y. T. Juang, and T. P. Tsai, “Lead-lag compensator design by the Hough Transform,” Systems & Control Letters, Vol. 20( ), pp. 365–372, 1993.
9.
Lucas
T. N.
and
Beat
I. F.
, “
Model reduction by least-squares moment matching
,”
Elect. Lett
, Vol.
26
(
15
), pp.
1213
1215
,
1990
.
10.
Middleton
R. H.
, “
Trade-offs in linear control system design
,”
Automatica
, Vol.
27
(
2
), pp.
281
292
,
1991
.
11.
Minto
K. D.
,
Chow
J. H.
, and
Bessler
J. W.
, “
An explicit model-matching approach to lateral-axis autopilot design
,”
IEEE Control System Magazine
, Vol.
10
(
4
), pp.
22
28
,
1990
.
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