A robust scheme to estimate a set of models for a linear time-invariant system, subject to perturbations in the physical parameters, from a frequency response data record is proposed. The true model as well as the disturbances affecting the system are assumed unknown. However, the physical parameters are assumed to enter the coefficients of the system transfer function multilinearly. A set of models is identified by perturbing the physical parameters one-at-time and using a frequency domain identification technique. Exploiting the assumed multilinearity, the estimated set of models is validated. The proposed scheme is evaluated on a number of simulated systems, and on a physical robot manipulator arm.

1.
Bhattacharyya, S. P., 1987, Robust Stabilization Against Structured Perturbations, Springer-Verlag, New York.
2.
Chiang, R. Y., and Safonov, M. G., 1988, “Robust-Control Tool Box for use with MAT-LAB,” The Mathworks Inc.
3.
Doraiswami
R.
,
1993
, “
Performance Monitoring and Fault Prediction Using Linear Predictive Coding Algorithm
,”
Automatica
, Vol.
29
, No.
4
, pp.
155
120
.
4.
Doraiswami
R.
, and
Liu
W.
,
1993
a, “
On-Line Tuning of Power System Controllers
,”
Electrical Power System Research
, Vol.
28
, No.
1
, pp.
41
50
.
5.
Doraiswami
R.
, and
Liu
W.
,
1993
b, “
Real Time Estimation of the Parameters of Power System Dynamic Oscillations
,”
IEEE Transactions on Power Systems
, Vol.
8
, No.
1
, pp.
74
83
.
6.
Doraiswami, R., and Stevenson, M., 1995, “A Robust Influence Matrix Approach To Fault Diagnosis,” To be Published in The IEEE Transactions On Control Systems Technology.
7.
Doraiswami, R., Stevenson, M., and Diduch, C. P., 1995, “Autonomous Control System: Monitoring, Diagnosis and Tuning,” To be Published in The IEEE Transactions on Systems, Man and Cybernetics.
8.
Doyle, J. C., Francis, B. A., and Tannenbaum, A. R., 1992, Feedback Control Theory, Maxwell Macmillan Canada.
9.
Goodwin
G. C.
,
Gevers
M.
, and
Ninnes
B.
,
1992
, “
Quantifying Error in the Estimated Transfer Function with Application to Model Order Selection
,”
IEEE Transactions on Automatic Control
, Vol.
37
, No.
7
, pp.
913
927
.
10.
Iserman
R.
, and
Freyrmuth
B.
,
1991
, “
Process Fault Diagnosis Based on Process Model Knowledge, Part I and Part II
,”
ASME JOURNAL OF DYNAMICS, MEASUREMENT, AND CONTROL
, Vol.
113
, pp.
620
633
.
11.
Kim
I. H.
, and
Bien
Z.
,
1989
, “
An Algorithmic Approach to Fault Diagnosis in Linear Systems
,”
IEEE Transactions on Industrial Electronics
, Vol.
36
, No.
3
, pp.
313
320
.
12.
Kumeresan
R.
,
1990
, “
Identification of Rational Transfer Function from Frequency Response Samples
,”
IEE Transactions on Aerospace and Electronic Systems
, Vol.
26
, No.
6
, pp.
925
934
.
13.
Ljung, L., 1987, System Identification: Theory for the User, Prentice-Hall NJ.
14.
Ono
T.
, et al.,
1987
, “
Influence Matrix Approach to Fault Diagnosis
,”
IEEE Transactions on Industrial Electronics
, Vol.
IE-34
, No.
2
, pp.
285
291
.
15.
Integrated Motions Inc., 1990, “Direct Drive Manipulator Research and Development Package,” User’s Guide.
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