Linear Model Predictive Control for a Coupled CSTR and Axial Dispersion Tubular Reactor with Recycle

Seyedhamidreza Khatibi, Guilherme Ozorio Cassol and Stevan Dubljevic
Additional contact information
Seyedhamidreza Khatibi: Department of Chemical & Materials Engineering, University of Alberta, Edmonton, AB T6G 2V4, Canada
Guilherme Ozorio Cassol: Department of Chemical & Materials Engineering, University of Alberta, Edmonton, AB T6G 2V4, Canada
Stevan Dubljevic: Department of Chemical & Materials Engineering, University of Alberta, Edmonton, AB T6G 2V4, Canada

Mathematics, 2020, vol. 8, issue 5, 1-17

Abstract: This manuscript addresses a novel output model predictive controller design for a representative model of continuous stirred-tank reactor (CSTR) and axial dispersion reactor with recycle. The underlying model takes the form of ODE-PDE in series and it is operated at an unstable point. The model predictive controller (MPC) design is explored to achieve optimal closed-loop system stabilization and to account for naturally present input and state constraints. The discrete representation of the system is obtained by application of the structure properties (stability, controllability and observability) preserving Cayley-Tustin discretization to the coupled system. The design of a discrete Luenberger observer is also considered to accomplish the output feedback MPC realization. Finally, the simulations demonstrate the performance of the controller, indicating proper stabilization and constraints satisfaction in the closed loop.

Keywords: optimal control; distributed parameter systems (DPS); model predictive control (MPC); lumped parameter systems (LPS); recycle; continuous stirred-tank reactor (CSTR); axial dispersion reactor; Luenberger observer; Cayley-Tustin discretization (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/8/5/711/pdf (application/pdf)
https://www.mdpi.com/2227-7390/8/5/711/ (text/html)

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:gam:jmathe:v:8:y:2020:i:5:p:711-:d:353605

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().