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

• Main Authors: Seyedhamidreza Khatibi, Guilherme Ozorio Cassol, Stevan Dubljevic
• Format: Article
• Language: English
• Published: MDPI AG 2020-05-01
• Series: Mathematics
• Subjects: optimal control; distributed parameter systems (DPS); model predictive control (MPC); lumped parameter systems (LPS); recycle; continuous stirred-tank reactor (CSTR)
• Online Access: https://www.mdpi.com/2227-7390/8/5/711

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.