Hierarchical optimal control of a binary distillation column

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

This paper presents a two-level optimal control for the binary distillation
column. From the control point of view, the binary distillation column is a
high-order system consisting of several interconnected subsystems (trays) that
aim to maximize output purity. Controlling the system in a hierarchical manner
not only decreases complexity and solution time but also can improve the
control structure's reliability. In this study, the distillation column is decomposed
into NT second-order subsystems, each representing one stage (one tray).
Accordingly, the cost function is decomposed, and thus, the overall problem is
converted into NT lower-order subproblems where each tray has its own controller.
A two-level interaction prediction approach provides optimal control for
the overall system. The task of the first level is to solve the subproblems using the
predicted values of the coordination parameters, whereas the second level acts
as a coordinator to update the coordination parameters. Simulation results show
the capability and efficacy of the proposed two-level control method in finding
the optimal solution with less complexity and lower solution time than those of
the centralized method.
Original languageEnglish
JournalOptimal Control Applications and Methods
Volume40
Pages (from-to)172-185
Number of pages14
ISSN0143-2087
DOIs
Publication statusPublished - 2019

Fingerprint

Distillation columns
Level control
Cost functions
Controllers

Keywords

  • Distillation Column
  • Hierarchical Control
  • Interaction-Prediction Approach
  • Optimal Control
  • Large-Scale Systems
  • distillation column
  • interaction-prediction approach
  • optimal control
  • hierarchical control
  • large-scale systems

Cite this

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title = "Hierarchical optimal control of a binary distillation column",
abstract = "This paper presents a two-level optimal control for the binary distillationcolumn. From the control point of view, the binary distillation column is ahigh-order system consisting of several interconnected subsystems (trays) thataim to maximize output purity. Controlling the system in a hierarchical mannernot only decreases complexity and solution time but also can improve thecontrol structure's reliability. In this study, the distillation column is decomposedinto NT second-order subsystems, each representing one stage (one tray).Accordingly, the cost function is decomposed, and thus, the overall problem isconverted into NT lower-order subproblems where each tray has its own controller.A two-level interaction prediction approach provides optimal control forthe overall system. The task of the first level is to solve the subproblems using thepredicted values of the coordination parameters, whereas the second level actsas a coordinator to update the coordination parameters. Simulation results showthe capability and efficacy of the proposed two-level control method in findingthe optimal solution with less complexity and lower solution time than those ofthe centralized method.",
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Hierarchical optimal control of a binary distillation column. / Ramezani, Mohammad Hossein; Sadati, Nasser.

In: Optimal Control Applications and Methods, Vol. 40, 2019, p. 172-185.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Hierarchical optimal control of a binary distillation column

AU - Ramezani, Mohammad Hossein

AU - Sadati, Nasser

PY - 2019

Y1 - 2019

N2 - This paper presents a two-level optimal control for the binary distillationcolumn. From the control point of view, the binary distillation column is ahigh-order system consisting of several interconnected subsystems (trays) thataim to maximize output purity. Controlling the system in a hierarchical mannernot only decreases complexity and solution time but also can improve thecontrol structure's reliability. In this study, the distillation column is decomposedinto NT second-order subsystems, each representing one stage (one tray).Accordingly, the cost function is decomposed, and thus, the overall problem isconverted into NT lower-order subproblems where each tray has its own controller.A two-level interaction prediction approach provides optimal control forthe overall system. The task of the first level is to solve the subproblems using thepredicted values of the coordination parameters, whereas the second level actsas a coordinator to update the coordination parameters. Simulation results showthe capability and efficacy of the proposed two-level control method in findingthe optimal solution with less complexity and lower solution time than those ofthe centralized method.

AB - This paper presents a two-level optimal control for the binary distillationcolumn. From the control point of view, the binary distillation column is ahigh-order system consisting of several interconnected subsystems (trays) thataim to maximize output purity. Controlling the system in a hierarchical mannernot only decreases complexity and solution time but also can improve thecontrol structure's reliability. In this study, the distillation column is decomposedinto NT second-order subsystems, each representing one stage (one tray).Accordingly, the cost function is decomposed, and thus, the overall problem isconverted into NT lower-order subproblems where each tray has its own controller.A two-level interaction prediction approach provides optimal control forthe overall system. The task of the first level is to solve the subproblems using thepredicted values of the coordination parameters, whereas the second level actsas a coordinator to update the coordination parameters. Simulation results showthe capability and efficacy of the proposed two-level control method in findingthe optimal solution with less complexity and lower solution time than those ofthe centralized method.

KW - Distillation Column

KW - Hierarchical Control

KW - Interaction-Prediction Approach

KW - Optimal Control

KW - Large-Scale Systems

KW - distillation column

KW - interaction-prediction approach

KW - optimal control

KW - hierarchical control

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