TY - GEN
T1 - Computationally efficient combined design and control optimization using a coupling measure
AU - Patil, Rakesh
AU - Filipi, Zoran
AU - Fathy, Hosam
N1 - Funding Information:
The authors would like to thank the National Science Foundation for providing funding for this work through an Emerging Frontiers in Research and Innovation Grant (grant #0835995).
PY - 2010
Y1 - 2010
N2 - This paper presents a novel approach to the optimization of a dynamic system's 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.
AB - This paper presents a novel approach to the optimization of a dynamic system's 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.
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U2 - 10.3182/20100913-3-US-2015.00126
DO - 10.3182/20100913-3-US-2015.00126
M3 - Conference contribution
AN - SCOPUS:84901912538
SN - 9783902661760
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
SP - 144
EP - 151
BT - 5th IFAC Symposium on Mechatronic Systems, MECHATRONICS 2010 - Proceedings
PB - IFAC Secretariat
T2 - 5th IFAC Symposium on Mechatronic Systems, MECHATRONICS 2010
Y2 - 13 September 2010 through 15 September 2010
ER -