LAPSE:2018.0291
Published Article
LAPSE:2018.0291
Efficient Control Discretization Based on Turnpike Theory for Dynamic Optimization
Ali M. Sahlodin, Paul I. Barton
July 31, 2018
Dynamic optimization offers a great potential for maximizing performance of continuous processes from startup to shutdown by obtaining optimal trajectories for the control variables. However, numerical procedures for dynamic optimization can become prohibitively costly upon a sufficiently fine discretization of control trajectories, especially for large-scale dynamic process models. On the other hand, a coarse discretization of control trajectories is often incapable of representing the optimal solution, thereby leading to reduced performance. In this paper, a new control discretization approach for dynamic optimization of continuous processes is proposed. It builds upon turnpike theory in optimal control and exploits the solution structure for constructing the optimal trajectories and adaptively deciding the locations of the control discretization points. As a result, the proposed approach can potentially yield the same, or even improved, optimal solution with a coarser discretization than a conventional uniform discretization approach. It is shown via case studies that using the proposed approach can reduce the cost of dynamic optimization significantly, mainly due to introducing fewer optimization variables and cheaper sensitivity calculations during integration.
Keywords
adaptive discretization, control parametrization, dynamic optimization, optimal control, turnpike theory
Suggested Citation
Sahlodin AM, Barton PI. Efficient Control Discretization Based on Turnpike Theory for Dynamic Optimization. (2018). LAPSE:2018.0291
Author Affiliations
Sahlodin AM: Process Systems Engineering Laboratory, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139, USA [ORCID]
Barton PI: Process Systems Engineering Laboratory, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139, USA
[Login] to see author email addresses.
Journal Name
Processes
Volume
5
Issue
4
Article Number
E85
Year
2017
Publication Date
2017-12-18
Published Version
ISSN
2227-9717
Version Comments
Original Submission
Other Meta
PII: pr5040085, Publication Type: Journal Article
Record Map
Published Article

LAPSE:2018.0291
This Record
External Link

doi:10.3390/pr5040085
Publisher Version
Download
Files
Jul 31, 2018
Main Article
License
CC BY 4.0
Meta
Record Statistics
Record Views
723
Version History
[v1] (Original Submission)
Jul 31, 2018
 
Verified by curator on
Jul 31, 2018
This Version Number
v1
Citations
Most Recent
This Version
URL Here
https://psecommunity.org/LAPSE:2018.0291
 
Original Submitter
Auto Uploader for LAPSE
Links to Related Works
Directly Related to This Work
Publisher Version