Linear Model Predictive Control for a Coupled CSTR and Axial Dispersion Tubular Reactor with Recycle
Department of Chemical & Materials Engineering, University of Alberta, Edmonton, AB T6G 2V4, Canada
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Mathematics 2020, 8(5), 711; https://doi.org/10.3390/math8050711
Received: 1 April 2020
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Revised: 26 April 2020
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Accepted: 27 April 2020
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Published: 3 May 2020
(This article belongs to the Special Issue Control and Optimization: From Complex Process to Systems Engineering Problems)
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.
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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
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MDPI and ACS Style
Khatibi, S.; Ozorio Cassol, G.; Dubljevic, S. Linear Model Predictive Control for a Coupled CSTR and Axial Dispersion Tubular Reactor with Recycle. Mathematics 2020, 8, 711. https://doi.org/10.3390/math8050711
AMA Style
Khatibi S, Ozorio Cassol G, Dubljevic S. Linear Model Predictive Control for a Coupled CSTR and Axial Dispersion Tubular Reactor with Recycle. Mathematics. 2020; 8(5):711. https://doi.org/10.3390/math8050711
Chicago/Turabian StyleKhatibi, Seyedhamidreza, Guilherme Ozorio Cassol, and Stevan Dubljevic. 2020. "Linear Model Predictive Control for a Coupled CSTR and Axial Dispersion Tubular Reactor with Recycle" Mathematics 8, no. 5: 711. https://doi.org/10.3390/math8050711
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