This paper presents a novel approach to the optimization of a dynamic systems design and control. Traditionally, these problems have been solved either sequentially or in a combined manner. We propose a novel approach that uses a previously derived coupling measure to quantify the impact of plant design variables on optimal control cost. This proposed approach has two key advantages. First, because the coupling term quantifies the gradient of the control optimization objective with respect to plant design variables, the approach ensures combined plant/control optimality. Second, because the coupling term equals the integral of optimal control co-states multiplied by static gradient terms that can be computed a priori, the proposed approach is computationally attractive. We illustrate this approach using an example cantilever beam structural design and vibration control problem. The results show significant computational cost improvements compared to traditional combined plant/control optimization. This reduction in computational cost becomes more pronounced as the number of plant design variables increases.

References

References
1.
Fathy
,
H. K.
,
Reyer
,
J. A.
,
Papalambros
,
P. Y.
, and
Ulsoy
,
A. G.
, 2001, “
On the Coupling Between the Plant and Controller Optimization Problems
,”
Proceedings of the American Control Conference
.
2.
Smith
,
M. J.
,
Grigoriadis
,
K. M.
, and
Skelton
,
R. E.
, 1992, “
Optimal Mix of Active and Passive Control in Structures
,”
J. Guid. Control Dyn.
,
15
(
4
), pp.
912
919
.
3.
Soong
,
T. T.
, and
Cimellaro
,
G. P.
, 2009, “
Future Directions in Structural Control
,”
Struct. Control Health Monit.
,
16
, pp.
7
16
.
4.
Kim
,
M.
, and
Peng
,
H.
, 2007, “
Power Management and Design Optimization of Fuel Cell/Battery Hybrid Vehicles
,”
J. Power Sources
,
165
(
2
), pp.
819
832
.
5.
Rao
,
S. S.
, 1988, “
Combined Structural and Control Optimization of Flexible Structures
,”
Eng. Optimiz.
,
13
, pp.
1
16
.
6.
Eastep
,
F. N.
,
Khot
,
N.
, and
Grandhi
,
R.
, 1987, “
Improving the Active Vibrational Control of Large Space Structures Through Structural Modifications
,”
Acta Astronaut.
,
15
(
6/7
), pp.
383
389
.
7.
Rakowska
,
J.
,
Haftka
,
R.
, and
Watson
,
L.
, 1993, “
Multi-Objective Control-Structure Optimization via Homotopy Methods
,”
SIAM J. Optim.
,
3
(
3
), pp.
654
667
.
8.
Peters
,
D. L.
,
Papalambros
,
P. Y.
, and
Ulsoy
,
A. G.
, 2009, “
On Measures of Coupling Between the Artifact and Controller Optimal Design Problems
,”
Proceedings of the IDETC/CIE
.
9.
Pil
,
A. C.
, and
Asada
,
H. H.
, 1996, “
Integrated Structure/Control Design of Mechatronic Systems Using a Recursive Experimental Optimization Method
,”
IEEE/ASME Trans. Mechatron.
,
1
(
3
), pp.
191
203
.
10.
Ravichandran
,
T.
,
Wang
,
D.
, and
Heppler
,
G.
, 2006, “
Simultaneous Plant-Controller Design Optimization of a Two-Link Planar Manipulator
,”
Mechatronics
,
16
, p.
233242
.
11.
Lee
,
K.-Y.
, and
Roh
,
M.-I.
, 2001, “
An Efficient Genetic Algorithm Using Gradient Information for Ship Structural Design Optimization
,”
Ship Technol. Res.
,
48
, pp.
161
170
.
12.
Reyer
,
J. A.
, and
Papalambros
,
P. Y.
, 2002, “
Combined Optimal Design and Control With Application to an Electric DC Motor
,”
Trans. ASME, J. Mech. Des.
,
124
, pp.
183
191
.
13.
Shabde Vikram
,
S.
, and
Hoo
,
K. A.
, 2008, “
Optimum Controller Design for a Spray Drying Process
,”
Control Eng. Pract.
,
16
(
5
), pp.
541
552
.
14.
Jennifer
,
B.
, and
Kazerani
,
M.
, 2008, “
A Comparative Study of Fuel-Cell Battery, Fuel-Cell Ultracapacitor, and Fuel-Cell BatteryUltracapacitor Vehicles
,”
IEEE Trans. Veh. Technol.
,
57
(
8
), pp.
760
769
.
15.
Neeraj
,
S.
, and
Maxime
,
P.
, 2005,.“
Interdependence of System Control and Component Sizing for a Hydrogen fueled Hybrid Vehicle
,”
Future Transportation Technology Conference
,
Chicago, IL
.
16.
Zhu
,
Y.
,
Jinhao
,
Q.
,
Hejun
,
D.
, and
Junji
,
T.
, 2003, “
Simultaneous Structural-Control Optimization of a Coupled Structural-Acoustic Enclosure
,”
J. Intell. Mater. Syst. Struct.
,
14
, pp.
287
296
.
17.
Wang
,
Z.
,
Chen
,
S.
, and
Han
,
W.
, 1999, “
Integrated Structure and Control Optimization of Intelligent Structures
,”
Eng. Struct.
,
21
, pp.
183
191
.
18.
Rousseau
,
A.
,
Pagerit
,
S.
, and
Gao
,
D.
, 2008, “
PHEV Vehicle Control Strategy Parameter Optimization
,” Electric Vehicle Symposium 23, Anaheim, CA.
19.
Milman
,
M.
,
Salama
,
M.
,
Scheid
,
R. E.
, and
Bruno
,
R.
, 1991, “
Combined Control-Structure Optimization
,”
Comput. Mech.
,
8
, pp.
1
18
.
20.
Alyaqout
,
S. F.
,
Papalambros
,
P. Y.
, and
Ulsoy
,
A. G.
, 2005, “
Quantification and Use of System Coupling in Decomposed Design Optimization
,”
Proceedings of the ASME IMECE
,
Orlando, FL
.
21.
Fathy
,
H. K.
, 2002, “
Combined Plant and Control Optimization: Theory Strategy and Applications
,” Ph.D. thesis, University of Michigan, Ann Arbor, MI.
22.
Patil
,
R. M.
,
Fathy
,
H. K.
, and
Filipi
,
Z.
, 2010, “
Computationally Efficient Combined Design and Control Optimization Using a Coupling Measure
,” 5th IFAC Symposium on Mechatronic Systems.
23.
Marler
,
R. T.
, and
Arora
,
J. S.
, 2004, “
Survey of Multi-Objective Optimization Methods for Engineering
,”
Struct. Multidiscip. Optim.
,
26
, p.
369395
.
You do not currently have access to this content.