<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The paper addresses a case study of robust stabilization of a continuous stirred tank reactor using robust model-based predictive control with constrained input variables. One exothermic reaction runs in the reaction mixture and the reactor is modelled in the form of an uncertain polytopic system. The control approach is based on solution of a set of linear matrix inequalities. This formulation enables to use convex optimization methods to design a gain matrix of a state feedback controller in each control step. The task of stabilization is solved in assumed control conditions with respect to symmetric constraints on control inputs. The control performance achieved by robust constrained model-based predictive control is studied via simulations. Obtained results confirm that the robust constrained model-based predictive control ensures the stability demands and the quality requirements represented by chosen quadratic cost function.</p></abstract>

The paper addresses a case study of robust stabilization of a continuous stirred tank reactor using robust model-based predictive control with constrained input variables. One exothermic reaction runs in the reaction mixture and the reactor is modelled in the form of an uncertain polytopic system. The control approach is based on solution of a set of linear matrix inequalities. This formulation enables to use convex optimization methods to design a gain matrix of a state feedback controller in each control step. The task of stabilization is solved in assumed control conditions with respect to symmetric constraints on control inputs. The control performance achieved by robust constrained model-based predictive control is studied via simulations. Obtained results confirm that the robust constrained model-based predictive control ensures the stability demands and the quality requirements represented by chosen quadratic cost function.

Robust constrained MPC stabilization of a CSTR

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

Acta Chimica Slovaca

{"article-title":"Robust constrained MPC stabilization of a CSTR"}

The paper addresses a case study of robust stabilization of a continuous stirred tank reactor using robust model-based predictive control with constrained...

Robust constrained MPC stabilization of a CSTR

Published Online: Dec 14, 2012

Page range: 153 - 158

DOI: https://doi.org/10.2478/v10188-012-0023-1

Keywords
chemical reactor, constrained input, linear matrix inequality, parametric uncertainty, robust MPC

This content is open access.

Robust constrained MPC stabilization of a CSTR

Published Online: Dec 14, 2012

Page range: 153 - 158

DOI: https://doi.org/10.2478/v10188-012-0023-1

Keywordschemical reactor, constrained input, linear matrix inequality, parametric uncertainty, robust MPC

This content is open access.

Keywords
chemical reactor, constrained input, linear matrix inequality, parametric uncertainty, robust MPC