In this paper, the effect of parameter and spatial discretization errors on the closed-loop behavior of distributed-parameter systems is analyzed for natural controls. If the control force designed on the basis of the postulated system with the parameter and discretization errors is applied to control the actual system, the closed-loop performance of the actual system will be degraded depending on the degree of the errors. The extent of deviation of the closed-loop performance from the expected one is derived and evaluated using operator techniques. It has been found that the extent of the deviation is proportional to the magnitude of the parameter and discretization errors, and that the proportional coeffecient depends on the structures of the natural controls.
Issue Section:
Research Papers
1.
Arbel
A.
Gupta
N. K.
1981
, “Robust Collocated Control for Large Flexible Space Structures
,” J. Guidance and Control
, Vol. 4
pp. 480
–486
.2.
Baruh
H.
Silverberg
L.
1985
, “Robust Natural Control of Distributed Systems
,” J. Guidance and Control
, Vol. 6
, pp. 717
–724
.3.
Baz
A.
Poh
S.
Fedor
J.
1992
, “Independent Modal Space Control With Positive Position Feedback
,” ASME J. Dynamic Systems, Measurement, and Control
, Vol. 114
pp. 96
–103
.4.
Benhabib
R. J.
Iwens
R. P.
Jackson
R. L.
1981
, “Stability of Large Space Structure Control Systems Using Positivity Concepts
,” J. Guidance and Control
, Vol. 4
pp. 487
–494
.5.
Byun
K. W.
Wie
B.
Geller
D.
Sunkel
J.
1991
, “Robustified H∞ Control Design for the Space Station with Structured Parameter Uncertainty
,” J. Guidance, Control, and Dynamics
, Vol. 14
pp. 1115
–1122
.6.
Desoer, C. A., and Vidyasaga, M., 1975, Feedback Systems: Input-Output Properties, Academic Press, New York.
7.
Fanson
J. L.
Caughey
T. K.
1990
, “Positive Position Feedback Control for Large Space Structures
,” AIAA J.
, Vol. 28
pp. 717
–724
.8.
Goh
C. J.
Caughey
T. K.
1985
, “On the Stability Problem Caused by Finite Actuator Dynamics in the Collocated Control of Large Space Structures
,” Int. J. Control
, Vol. 41
pp. 787
–802
.9.
Greene
M.
1987
, “Robustness of Active Modal Damping of Large Flexible Structures
,” Int. J. Control
, Vol. 46
pp. 1009
–1018
.10.
Hale
A. L.
Rahn
G. A.
1984
, “Robust Control of Self-Adjoint Distributed-Parameter Structures
,” J. Guidance and Control
, Vol. 7
pp. 265
–273
.11.
Hallauer
W. L.
Barthelemy
J. F. M.
1981
, “Sensitivity of Modal Space Control to Nonideal Conditions
,” J. Guidance and Control
, Vol. 4
pp. 564
–566
.12.
Inman, D. J., 1989, Vibration with Control, Measurement, and Stability, Prentice-Hall, Englewood Cliffs, NJ.
13.
Joshi
S. M.
1986
, “Robustness Properties of Collocated Controllers for Flexible Spacecraft
,” J. Guidance and Control
, Vol. 9
pp. 85
–91
.14.
Kosut
R. L.
Salzwedel
H.
Emami-Naeini
A.
1983
, “Robust Control of Flexible Spacecraft
,” J. Guidance and Control
, Vol. 6
pp. 104
–111
.15.
Meirovitch
L.
Baruh
H.
1982
, “Control of Self-Adjoint Distributed-Parameter Systems
,” J. Guidance and Control
, Vol. 5
pp. 60
–66
.16.
Meirovitch
L.
Baruh
H.
1983
, “Robustness of the Independent Modal-Space Control Method
,” J. Guidance and Control
, Vol. 6
pp. 20
–25
.17.
Meirovitch
L.
Baruh
H.
Oz
H.
1983
, “A Comparison of Control Techniques for Large Flexible Systems
,” J. Guidance and Control
, Vol. 6
pp. 302
–310
.18.
Meirovitch, L., 1990, Dynamics and Control of Structures, John Wiley & Sons, New York.
19.
Schaechter
D. B.
1983
, “Closed-Loop Control Performance Sensitivity to Parameter Variations
,” J. Guidance and Control
, Vol. 6
pp. 399
–402
.20.
Slotine, J. E., and Li, W., 1991, Applied Nonlinear Control, Prentice Hall, Englewood Cliffs, NJ.
21.
Stakgold, I., 1979, Green’s Functions and Boundary Value Problems, Wiley-Interscience, New York.
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