Computationally efficient combined design and control optimization using a coupling measure

Rakesh Patil, Zoran Filipi, Hosam Kadry Fathy

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Title of host publication5th IFAC Symposium on Mechatronic Systems, MECHATRONICS 2010 - Proceedings
PublisherIFAC Secretariat
Pages144-151
Number of pages8
Edition18
ISBN (Print)9783902661760
DOIs
StatePublished - Jan 1 2010
Event5th IFAC Symposium on Mechatronic Systems, MECHATRONICS 2010 - Cambridge, MA, United States
Duration: Sep 13 2010Sep 15 2010

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number18
Volume43
ISSN (Print)1474-6670

Other

Other5th IFAC Symposium on Mechatronic Systems, MECHATRONICS 2010
CountryUnited States
CityCambridge, MA
Period9/13/109/15/10

Fingerprint

Costs
Cantilever beams
Vibration control
Structural design
Dynamical systems
Systems analysis

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering

Cite this

Patil, R., Filipi, Z., & Fathy, H. K. (2010). Computationally efficient combined design and control optimization using a coupling measure. In 5th IFAC Symposium on Mechatronic Systems, MECHATRONICS 2010 - Proceedings (18 ed., pp. 144-151). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 43, No. 18). IFAC Secretariat. https://doi.org/10.3182/20100913-3-US-2015.00126
Patil, Rakesh ; Filipi, Zoran ; Fathy, Hosam Kadry. / Computationally efficient combined design and control optimization using a coupling measure. 5th IFAC Symposium on Mechatronic Systems, MECHATRONICS 2010 - Proceedings. 18. ed. IFAC Secretariat, 2010. pp. 144-151 (IFAC Proceedings Volumes (IFAC-PapersOnline); 18).
@inproceedings{28552b55a37d46ce85fb9b705b669c8c,
title = "Computationally efficient combined design and control optimization using a coupling measure",
abstract = "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.",
author = "Rakesh Patil and Zoran Filipi and Fathy, {Hosam Kadry}",
year = "2010",
month = "1",
day = "1",
doi = "10.3182/20100913-3-US-2015.00126",
language = "English (US)",
isbn = "9783902661760",
series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",
publisher = "IFAC Secretariat",
number = "18",
pages = "144--151",
booktitle = "5th IFAC Symposium on Mechatronic Systems, MECHATRONICS 2010 - Proceedings",
address = "Austria",
edition = "18",

}

Patil, R, Filipi, Z & Fathy, HK 2010, Computationally efficient combined design and control optimization using a coupling measure. in 5th IFAC Symposium on Mechatronic Systems, MECHATRONICS 2010 - Proceedings. 18 edn, IFAC Proceedings Volumes (IFAC-PapersOnline), no. 18, vol. 43, IFAC Secretariat, pp. 144-151, 5th IFAC Symposium on Mechatronic Systems, MECHATRONICS 2010, Cambridge, MA, United States, 9/13/10. https://doi.org/10.3182/20100913-3-US-2015.00126

Computationally efficient combined design and control optimization using a coupling measure. / Patil, Rakesh; Filipi, Zoran; Fathy, Hosam Kadry.

5th IFAC Symposium on Mechatronic Systems, MECHATRONICS 2010 - Proceedings. 18. ed. IFAC Secretariat, 2010. p. 144-151 (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 43, No. 18).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

T1 - Computationally efficient combined design and control optimization using a coupling measure

AU - Patil, Rakesh

AU - Filipi, Zoran

AU - Fathy, Hosam Kadry

PY - 2010/1/1

Y1 - 2010/1/1

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.

UR - http://www.scopus.com/inward/record.url?scp=84901912538&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84901912538&partnerID=8YFLogxK

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

ER -

Patil R, Filipi Z, Fathy HK. Computationally efficient combined design and control optimization using a coupling measure. In 5th IFAC Symposium on Mechatronic Systems, MECHATRONICS 2010 - Proceedings. 18 ed. IFAC Secretariat. 2010. p. 144-151. (IFAC Proceedings Volumes (IFAC-PapersOnline); 18). https://doi.org/10.3182/20100913-3-US-2015.00126