Nonlinear Model Predictive Control for an Exothermic Reaction in an Adiabatic CSTR

Morten Ryberg Wahlgreen, Eskild Schroll-Fleischer, Dimitri Boiroux, Tobias Ritschel, Hao Wu, Jakob Kjøbsted Huusom, John Bagterp Jørgensen*

*Corresponding author for this work

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Abstract

We model and simulate an exothermic reaction conducted in an adiabatic continuous stirred tank reactor (CSTR). The system has multiple steady states in part of its operating window. We demonstrate that the three-state model representing the mass and energy balances of the system can be well approximated with a two-state as well as a one-state model. The reduced-order models are relevant for efficient implementation of nonlinear model predictive control (NMPC). We extend the drift term in the system of deterministic ordinary differential equations (ODEs) with a diffusion term such that the process is modeled by a system of stochastic differential equations (SDEs). The SDE representation is well-suited for development of the NMPC that is based on a continuous-discrete extended Kalman filter (CD-EKF) and an optimal control problem. The optimal control problem (OCP) is solved using a multiple-shooting algorithm as the NMPC must be able to stabilize the system at stable as well as unstable steady states. Simulations demonstrate that the NMPC based on a one-state reduced SDE can track any reactor temperature setpoint at stable as well as unstable steady states.
Original languageEnglish
Title of host publicationProceedings of 6th International Conference on Advances in Control and Optimization of Dynamical Systems
PublisherElsevier
Publication date2020
Pages500-505
Publication statusPublished - 2020
Event6th International Conference on Advances in Control and Optimization of Dynamical Systems - IIT Madras, Chennai, India
Duration: 16 Feb 202019 Feb 2020

Conference

Conference6th International Conference on Advances in Control and Optimization of Dynamical Systems
LocationIIT Madras
CountryIndia
CityChennai
Period16/02/202019/02/2020

Keywords

  • Nonlinear model predictive control
  • Multiple steady states
  • Adiabatic continuous stirred tank reactor
  • Exothermic reaction
  • Stochastic differential equations

Cite this

Wahlgreen, M. R., Schroll-Fleischer, E., Boiroux, D., Ritschel, T., Wu, H., Huusom, J. K., & Jørgensen, J. B. (2020). Nonlinear Model Predictive Control for an Exothermic Reaction in an Adiabatic CSTR. In Proceedings of 6th International Conference on Advances in Control and Optimization of Dynamical Systems (pp. 500-505). Elsevier.