<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The continuous stirred-tank reactor with uncertain parameters was stabilized in the open-loop unstable steady state using the robust model predictive control. The gain matrices of the robust state-feedback controller were designed using the nominal system optimization and the quadratic parameter-dependent Lyapunov functions. The controller was verified by simulations using the non-linear model of the reactor and compared with the robust model predictive controller designed using the worst-case system optimization. The values of the quadratic cost function and the consumption of coolant were observed. Both robust model predictive controllers stabilized the reactor despite constrained control inputs and states. The robust model predictive control based on the nominal system optimization improved control responses and decreased the consumption of coolant.</p></abstract>

The continuous stirred-tank reactor with uncertain parameters was stabilized in the open-loop unstable steady state using the robust model predictive control. The gain matrices of the robust state-feedback controller were designed using the nominal system optimization and the quadratic parameter-dependent Lyapunov functions. The controller was verified by simulations using the non-linear model of the reactor and compared with the robust model predictive controller designed using the worst-case system optimization. The values of the quadratic cost function and the consumption of coolant were observed. Both robust model predictive controllers stabilized the reactor despite constrained control inputs and states. The robust model predictive control based on the nominal system optimization improved control responses and decreased the consumption of coolant.

Robust MPC of an unstable chemical reactor using the nominal system optimization

Slovak University of Technology in Bratislava, Faculty of Chemical and Food Technology, Institute of Information Engineering, Automation, and Mathematics, Radlinského 9, SK-812 37 Bratislava, Slovak Republic

Acta Chimica Slovaca

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Robust MPC of an unstable chemical reactor using the nominal system optimization"}

The continuous stirred-tank reactor with uncertain parameters was stabilized in the open-loop unstable steady state using the robust model predictive control....

Robust MPC of an unstable chemical reactor using the nominal system optimization

Published Online: Dec 20, 2014

Page range: 87 - 93

DOI: https://doi.org/10.2478/acs-2014-0015

Keywords
chemical reactor, uncertainty, robust MPC, linear matrix inequality, Lyapunov function

© Faculty of Chemical and Food Technology, Slovak University of Technology in Bratislava

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Robust MPC of an unstable chemical reactor using the nominal system optimization

Published Online: Dec 20, 2014

Page range: 87 - 93

DOI: https://doi.org/10.2478/acs-2014-0015

Keywordschemical reactor, uncertainty, robust MPC, linear matrix inequality, Lyapunov function

© Faculty of Chemical and Food Technology, Slovak University of Technology in Bratislava

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
chemical reactor, uncertainty, robust MPC, linear matrix inequality, Lyapunov function