Vibration isolation tables find application in diverse production and research environments. The structure of a table is such that a designer is forced to compromise among design metrics such as transmissibility, force-disturbance rejection, and controller effort. As both structural and controller parameters impact these design metrics, we chose to perform simultaneous control-structure integrated design (CSID) to optimize the overall performance. We employed a new model that enhances physical insight and used physical programming as the optimization framework. We explored several design scenarios and effectively uncovered the appropriate compromises among the competing objectives. The results highlight the utility of the new model in this design context and the usefulness of physical programming in performing simultaneous CSID.

1.
Brusher
G. A.
,
Kabamba
P. T.
, and
Ulsoy
A. G.
, “
Coupling between the modeling and controller design problems, part I: Analysis
,”
ASME JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL
, Vol.
119
(
3
), pp.
498
502
,
1997
.
2.
Brusher
G. A.
,
Kabamba
P. T.
, and
Ulsoy
A. G.
, “
Coupling between the modeling and controller design problems, part II: Design
,”
ASME JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL
, Vol.
119
(
2
), pp.
278
283
,
1997
.
3.
Cheng
R. M. H.
, and
Harris
O. G.
, “
A power bond graph approach for modeling pneumatic control systems
,”
The Journal of Fluid Control
, Vol.
16
(
4
), pp.
55
77
,
1986
.
4.
J. L. Cohon, “Multiobjective programming and planning,” Vol. 140 of Mathematics in Science and Engineering, Academic Press, 1978.
5.
DeBra
D. B.
, “
Design of laminar flow restrictors for damping pneumatic vibration isolators
,”
CIRP Annals
, Vol.
33
(
1
), pp.
351
356
,
1984
.
6.
Erin
C.
,
Wilson
B.
, and
Zapfe
J.
, “
An improved model of a pneumatic vibration isolator: theory and experiment
,”
Journal of Sound and Vibration
, Vol.
218
(
1
), pp.
81
101
,
1998
.
7.
Heiland
K. P.
, “
Recent advancements in passive and active vibration control systems
,”
SPIE Proceedings, Vibration Control in Microelectronics, Optics, and Metrology
, Vol.
1619
, pp.
22
33
,
1991
.
8.
D. Karnopp, D. Margolis, and R. C. Rosenberg. System Dynamics: A Unified Approach, Wiley-Interscience, New York, NY, 1990.
9.
J. M. Maciejowski, Multivariable Feedback Design, chapter 7, pp. 341–351. Addison-Wesley, 1989.
10.
Maghami
P. G.
,
Gupta
S.
,
Elliot
K. B.
, and
Joshi
S. M.
, “
Integrated control-structure design methodology: Redesign of an evolutionary test structure
,”
Journal of Guidance, Control and Dynamics
, Vol.
19
(
2
), pp.
316
323
, March-April
1996
.
11.
Messac
A.
, “
Physical programming: effective optimization for computational design
,”
AlAA Journal
, Vol.
34
(
1
), pp.
149
158
,
1996
.
12.
Messac
A.
and
Malek
K.
, “
Control structure integrated design
,”
AlAA Journal
, Vol.
30
(
8
), pp.
2124
2131
,
1992
.
13.
Oliver
R. I.
and
Asokanthan
S. F.
, “
Control/structure integrated design for flexible spacecraft undergoing on-orbit maneuvers
,”
Journal of Guidance, Control and Dynamics
, Vol.
20
(
2
), pp.
313
319
, March-April
1997
.
14.
Pil
A. C.
and
Asada
H. H.
, “
Integrated structure/control design of mechatronic systems using a recursive experimental optimization method
,”
IEEE/ASME Transactions on Mechatronics
, Vol.
1
(
3
), pp.
191
203
, Sept.
1996
.
15.
G. L. Schneider and R. A. Calico Jr., “Integrated structure/control design via multiobjective optimization,” Dynamics of Flexible Structures: Proceedings of the 1st International Conference, pp. 77–91, 1990.
16.
R. E. Skelton, “Integrated structure and control design,” Proceedings of the American Control Conference, pp. 39–43, Seattle, Washington, 1995.
17.
Suzuki
S.
, “
Multigoal programming for structure/control design synthesis with fuzzy goals
,”
JSME International Journal
, Vol.
38
(
3
), pp.
450
456
,
1995
.
18.
H. V. Vu and B. J. Torby, “Pneumatic vibration isolation of a table traversed by a moving load,” Proceedings of the 14th Biennial ASME Conference on Vibration and Noise, Vol. 62, pp. 39–42. American Society of Mechanical Engineers, Design Engineering Division, 1993.
19.
Youcef-Toumi
K.
, “
Modeling, design and control integration: A necessary step in mechatronics
,”
IEEE/ASME Transactions on Mechatronics
, Vol.
1
(
1
), pp.
29
39
, Mar.
1996
.
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