Periodic Optimal Control of a Plug Flow Reactor Model with an Isoperimetric Constraint

Yevgeniia Yevgenieva (), Alexander Zuyev (), Peter Benner () and Andreas Seidel-Morgenstern ()
Additional contact information
Yevgeniia Yevgenieva: Max Planck Institute for Dynamics of Complex Technical Systems
Alexander Zuyev: Max Planck Institute for Dynamics of Complex Technical Systems
Peter Benner: Max Planck Institute for Dynamics of Complex Technical Systems
Andreas Seidel-Morgenstern: Max Planck Institute for Dynamics of Complex Technical Systems

Journal of Optimization Theory and Applications, 2024, vol. 202, issue 2, No 3, 582-604

Abstract: Abstract We study a class of nonlinear hyperbolic partial differential equations with boundary control. This class describes chemical reactions of the type “ $$A \rightarrow $$ A → product” carried out in a plug flow reactor (PFR) in the presence of an inert component. An isoperimetric optimal control problem with periodic boundary conditions and input constraints is formulated for the considered mathematical model in order to maximize the mean amount of product over the period. For the single-input system, the optimality of a bang-bang control strategy is proved in the class of bounded measurable inputs. The case of controlled flow rate input is also analyzed by exploiting the method of characteristics. A case study is performed to illustrate the performance of the reaction model under different control strategies.

Keywords: Isoperimetric optimal control problem; Hyperbolic system; Plug flow reactor model; Method of characteristics; 93C20; 92E20; 49K20; 49N20 (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-024-02439-w Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:202:y:2024:i:2:d:10.1007_s10957-024-02439-w

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-024-02439-w

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().